hint 1

The original shape shows the dog walking.
Think about how that shape will change
after the dog gets hit by the car.

hint 2

Dogs walk on all four legs, but since this
poor pooch isn't doing much walking anymore,
the position of his legs must have changed.

hint 3

The dog is probably sprawled out on the
pavement where it got hit. To show this,
you'll need to move two of his legs, or two
matches. Take the two legs in the middle and
bring them above.

The car flattened the poor dog!
Let this be a lesson to be aware of your
surroundings when driving!

hint 1

If one germ becomes two, and two become
four, that means that the number of germs
doubles each minute.

hint 2

If you start with one germ, the germ will
multiply and fill the jar in one hour.

Starting with one germ, then, how many will
you have in one minute?

Read the problem carefully.

hint 3

Let's take a step back and think.

Your answer is the amount of time it takes
for two germs to fill the jar. If it takes
one minute for one germ to turn into two,
how much additional time is needed to fill
the jar?

The answer is 59 minutes.

It takes one minute for a single germ to
split into two. Therefore, starting with two
germs instead of one only saves you
one minute.

hint 1

To draw the smaller, four-triangle shape, you
actually only need to draw three triangles. To
see for yourself, trace the shape on the
Touch Screen.

Notice how the middle triangle (Triangle 3) in
this shape is actually made up of the sides
of the other triangles?

hint 2

The puzzle describes the shape on the left
as made of four triangles. However, you
could also say that this same shape is made
of three upward-pointing triangles.

Try applying this way of thinking to the
larger shape. Just how many triangles
does it take to make this shape?

hint 3

If you only count the number of upward-
pointing triangles in the large triangle, you'll
get a total of 21.

You can draw three upward-pointing triangles
with one dip into the ink, so...

That's correct!

Your first impulse might have been to
divide the 36 triangles by four, but a closer
look shows that each four-triangle cluster
is actually formed from three triangles.

When you apply this way of thinking to
the larger shape, you end up with the
answer pictured above.

hint 1

To face the morning sun, one must, of course,
look eastward. The map shows north pointing
toward the top of the screen, so which
direction indicates east?

hint 2

The rising sun comes from the east. On this
map, that means it comes from the right.

Therefore, if you follow the directions, you
should be facing to the right after you take
your last turn.

hint 3

Trying to follow the directions from each
house only complicates matters. Instead, why
not follow the directions in reverse? Needless
to say, going backward means the directions
you turn will reverse as well.

Start by facing right, then head left down
the road, then take a left, then
another left...

That's right!

This is a problem where working backward
gets the job done fastest. It takes far too
long to check each house individually!

hint 1

"You can't reach the bottom of the hole, so
how about trying to find some tool that can,"
you say?

No, no, that's not the way. Is there some
way you can get the ball to come to the
mouth of the hole?

hint 2

Think about the particular characteristics
of a tennis ball. It bounces, it's light... Well,
it has many interesting properties, but
what happens when you throw a tennis
ball into a lake?

hint 3

If a great rainstorm were to come along
right now, you could probably retrieve your
ball without doing anything at all.

Think about why that is.

And just what is "rain," anyway?

That's correct!

Theoretically, you could use any liquid
in which tennis balls can float, but water
is the liquid you would most likely
have handy.

Since the ground is hard clay, there's
little chance of the water getting
absorbed into the surrounding earth.
The ball should come up with little difficulty.

hint 1

The shape you're trying to make is a five-
pointed star. It's easy enough to form a star
by just connecting five points, but you're
aiming to make the biggest star possible.

Look for "the five largest objects in space"
and connect them together.

hint 2

The answer for this puzzle requires you to
draw your star upside down.

hint 3

Remember that the planet we live on is
also floating in space!

You're right!

You need to connect the four stars to the
earth in order to form a star like the one
shown here.

It looks like people are still finding
inspiration in the stars.

hint 1

Five cats can catch five mice in five minutes.

If there were 10 mice running around, how
long would it take for those same five cats
to catch them?

hint 2

Remember, this puzzle isn't asking how much
time it takes to catch 100 mice.

Read the problem again. The wording
makes it easy to forget what you are
really looking for.

hint 3

Let's rethink this from the first step. Five
cats can catch five mice in five minutes.
So, in 10 minutes, they can catch 10 mice.
In 20 minutes, they can catch 20 mice.

How many cats are doing the catching?

Five cats.

Five cats can catch five mice in five minutes.
If the mouse hunt continues another five
minutes, you can expect a total of 10
mice to get caught. In other words, the
same five cats catch 10 mice in 10
minutes, and 20 mice in 20 minutes.
It's simply a matter of how long the five
cats work.

hint 1

It may seem straightforward, but it wouldn't
be a puzzle if there wasn't a trick to it.
Read the problem over again.

The problem wants to know how many
candles you "have left in the end."

hint 2

The wind blows out two candles, and then
shortly afterward blows out one more.
So how many candles are extinguished?

The candles that aren't extinguished by
the wind continue to burn. What will happen
to these candles if they are allowed to
keep burning?

hint 3

Think critically about what "have left in the
end" really means. It means that an item
continues to exist, doesn't it? So, what
becomes of a burning candle when it's
left alone?

That's correct!

The seven candles that manage to stay
lit will melt down completely. The only
candles that remain in the end are the
three that are extinguished by the wind
and therefore stay intact.

hint 1

If you flipped the position of the base and the
top rows of the triangle, the triangle would
point the opposite direction. But moving the
top rows of the triangle requires you to
move six coins.

Why don't you try to move the base row?

hint 2

You don't really think it's impossible to flip
the triangle by moving three coins, do you?!
Come on now!

Think about it. You can only move three coins.
You're dealing with a three-sided shape. This
couldn't be a coincidence, now could it?

hint 3

There are three corners on a triangle. Since
the triangle pictured here is pointing upward,
only one corner points upward. The other two
corners point downward.

You are trying to reverse the direction of
the triangle, so why not focus on
rearranging the corners?

That's right!

The interesting thing about this puzzle is the
way the whole triangle changes shape with
the simple shifting of a few coins.

The trick is to think about the corners on
the first triangle. Then it's easy to see the
changes you need to make.

hint 1

You might think that this puzzle is impossible,
but rest assured, it's not.

The first thing you should try to do is
connect any pair of blocks. That'll limit
where your next path can go. B's route
is shortest. Try enough times and you're
sure to figure it out.

hint 2

The path between the b blocks is a straight
line. D goes around to the north.

hint 3

As stated earlier, connect the pair of b
blocks with a straight line. Then connect the d
blocks by drawing a path that arcs up over
the b block path. A goes south then east.

Got it now?

That's right!

Now those guys don't even have to look
at each other! Good job!

hint 1

You're not weighing two sets of four weights
on your first use of the scale, are you?

If you do that, you'll only have one more
chance left to determine which of four weights
is the light one.

But you probably already know that, right?

hint 2

Maybe thinking about another example will
help you out here. Imagine you have three
weights, one of which is lighter than the rest.

To find the light weight, all you gotta do is
weigh any two of the three. If one of the
weights on the scale is lighter, there's your
answer. If the two weights on the scale are
the same, the remaining weight is the light one.

hint 3

Think about the last hint. You can figure out
the light weight in a group of three with one
use of the scale.

If you can narrow the number of weights
in question to three in one use of the scale,
you've got your answer.

That's right!

To solve this puzzle with no guesswork,
you must load three weights on each
side of the scale for your first measurement.
If you manage to get that far, the rest
is easy.

hint 1

Do you find yourself moving the raft back
and forth only to end up with the animals
back in the start position?

Somewhere within your movements, you are
doing something that restores the animals to
their original positions. When you've found
that point, try to do something different
than you have thus far. It might bring you
closer to the answer.

hint 2

You don't necessarily have to take two
animals over on every trip and then bring only
one back. Sometimes you may want to bring
two animals back.

For starters, try getting all three of the
wolves to the right side. Then you can slowly
start swapping out wolves for chicks.

hint 3

Let's recap the previous hint. First, get all
the wolves to the right side of the river.
Then, start swapping the wolves for chicks.
When you start to have too few chicks on
the left bank of the river, you can bring a
chick back over with a wolf to keep
your remaining chick from getting eaten.

Well done!

This puzzle can be solved in as few as
11 trips. How many trips did it take you?

Fun fact time! There are several variations
of this type of river-crossing puzzle, and
they've appeared in writings dating
back to over 1,000 years ago.

hint 1

If all you want to do is get the ball to the
goal, just slide things around and see what
happens. However, if you're aiming to solve
this puzzle in as few moves as possible,
you'll have to think ahead. Remember that
moving one block immobilizes others.

hint 2

Only blue blocks can move at the beginning.
Slide the one on the right up, and then
arrange the two purple blocks
underneath it in a horizontal line.

Next, move the lower yellow block over to
the right. This will give you some space to
work with on the left.

hint 3

If you've followed the previous hint, you
should start to see the answer to
the puzzle.

In order to move the yellow block that's
directly beneath the ball, you're going to
have to move that green block on the left. To
do that, go ahead and move the bothersome
blue block out of the way.

Got it now?

Well done!

With all those blocks in the way, getting
your ball to the goal was harder than
you expected, wasn't it?

hint 1

This puzzle can be frustrating because it's
easy to end up back where you started.

Pay special attention to difference,
particularly the one-quart difference between
five quarts and four quarts.

hint 2

If you pour the contents of the five-quart
pitcher into the three-quart pitcher, you
are left with two quarts.

If you're aiming to isolate four quarts, you
just need to remove one quart from five. To
get that one quart, you just need to create
a single quart's worth of space in
another pitcher.

hint 3

If you pour the contents of the five-quart
pitcher into the three-quart pitcher, you
are left with two quarts. Next, empty the
three-quart pitcher and pour in the two
quarts you had stored in the five-quart
pitcher.

Well, look at that! How many quarts worth of
space do you have left in that three-quart
pitcher now?

Well done!

If you keep at it long enough, you're sure
to come across the solution. The shortest
possible solution requires seven moves.

These liquid distribution problems have
been around for ages, and have even
been spotted in Japanese texts from
hundreds of years ago.

hint 1

You can use the same strategy you used for
the juice puzzle on this puzzle.

Simply shifting some milk over to one of the
smaller pitchers won't get you the five
quarts you need. Pay attention to what
remains when you pour some milk into the
smallest pitcher.

hint 2

Pour milk from the 10-quart pitcher into
the seven-quart pitcher. Then take the
contents of that pitcher and pour what
you can into the three-quart pitcher.
This leaves you with four quarts in the
seven-quart pitcher. After that, return
the contents of the three-quart pitcher
to the 10-quart pitcher and refill the
smallest pitcher using the seven-quart
pitcher. This should leave you with one
quart in the seven-quart pitcher. Next...

hint 3

Now you should have one quart left in your
seven-quart pitcher. Empty the contents
of your smallest pitcher into the 10-quart
pitcher, then pour the one quart into the
smallest pitcher.
You should now have nine quarts left in
your 10-quart pitcher, so pour seven of
them into the middle pitcher
Next, take your newly filled seven-quart
pitcher and pour the milk into your
three-quart pitcher. You should already
have one quart in the small pitcher, so...

Well done!

If you keep at it long enough, you'll
eventually come across the solution. The
shortest possible solution requires
nine moves.

hint 1

It's not like you have to solve the puzzle in a
limited number of moves, so go ahead and check
out all the possibilities.

Here's a tip: try arranging the pieces in a
way that allows for a line of symmetry
between them.

hint 2

The four corner spaces on the board should
be left unoccupied.

The four pieces will form a perfectly
symmetrical shape.

hint 3

You don't need to place any pieces in the four
center squares of the board either.

Now that you've eliminated those spaces and
the corner spaces, you should have a pretty
good idea about where your pieces should go.

Nicely played!

Chess queen problems like this one have
been around for over a century. This is a
relatively simple variation of this type of
puzzle. Consider it an introduction to
the genre.

hint 1

Here's a hint to get you started: place one
queen in the dead center of the board.

hint 2

Once you place one piece in the board's
center, you'll only have four pieces left
to place.

The remaining four pieces will surround the
center in a symmetrical shape.

hint 3

Don't put any pieces in the four corner
spaces of the board. You can also ignore
the eight spaces directly surrounding the
center space.

Very nice!

This one was a bit tougher than the 4x4
version, wasn't it? There's more than one
answer for this puzzle, so if you really want
a challenge, search for alternate solutions.

hint 1

This one's a bit of a puzzler, but if you check
everything thoroughly, you'll find the answer
sooner or later.

Don't put anything in the center square.

Remember that you have to #rarrange the pieces
so that no queen blocks another's line of
movement#x. Even if you think you've got the
answer, if one of your queens turns red, it
means that you haven't got the placement
just right yet.

hint 2

One of your three queens needs to go in a
corner space.

hint 3

Two of your queens need to be placed within
the eight squares that directly surround the
center space.

Good job!

Some people probably stumbled across the
answer to this puzzle while they were working
through the 5x5 chess problem.

hint 1

You're sure you can't think this one out
by yourself?

Oh, all right. Here's a hint: leave the four
corner spaces empty.

hint 2

Place one queen in the space third from the
top in the far-left column.

Place another queen in the far-right column,
three spaces from the bottom.

hint 3

One queen goes in the space one to the right
of the upper-left corner.

Place another queen in the bottom row four
spaces from the right.

You got it!

Since three queens were already in place
before you began, there's only one
possible solution for this problem.

What's that? You think it'd be more
interesting if you had to place all eight
queens by yourself?!

hint 1

You're an old hand at these puzzles, so why
not try to solve this one on your own?

Just so you know, there are 92 possible
solutions to this puzzle.

hint 2

Sorry, no hints!

hint 3

Hey, didn't you read Hint Two?! No hints!

Way to go!

You've finally worked your way up to an
official size chessboard, 8x8. Because
this classic puzzle requires the solver
to place eight queens, it's known as the
Eight Queens Puzzle.

If you consider rotations and mirrored
solutions as separate answers, there are
92 answers to this puzzle. Without any
of the above factors, there are only
12 answers.

hint 1

There's no way around it. You just have to
search the picture long and hard for
the answer.

The puzzle mentions the directions left and
right, so there's a good chance the hidden
arrow won't point upward like the example,
but sideways.

hint 2

The arrow hidden in the picture is a bit larger
than the example.

hint 3

Don't bother searching the left half of
the sign.

Well done!

Now you can move forward.

hint 1

There's no way around it! You're just going to
have to search this picture long and hard for
the answer.

Only a star with the exact shape and size as
the example star will do! No defective,
misshapen, or distorted stars will be accepted!

hint 2

Pay special attention to the left side of
the picture.

hint 3

Have you tried searching the upper-left
corner yet?

You got it!

Doesn't spotting a star earn you a free wish?

hint 1

First, get a good, long look at the shape of
the crank. How is the central axle shaped? Are
the little protrusions around the edges of the
crank triangular or square?

Next, look at where those funny shapes stick
out on the crank.

Starting to make sense?

hint 2

While you need to pay attention to the actual
features of the crank and slot, you also need
to remember that the shape of the slot is a
mirror image of the crank.

That's right, you have to stare at the
crank straight on and then look for the
slot that mirrors it.

hint 3

The central axle on the crank has five sides.
There are three shapes attached to the main
axle, one triangle and two squares.

One of the small squares sits right on top of
one of the central axle's five corners, while
the other two shapes sit flush on two sides
of the axle.

All right, now you have everything you need.
Don't forget that you need to flip the crank's
shape when searching for the slot!

Nice job!

Now drop that bridge!

hint 1

You can use the stylus for a whole lot more
than just circling the answer, you know. Try
tracing a path--any path--to see if it
connects to more than one town.

Try it a few times until you are confident you
have the right answer. Then just tap the
Submit icon.

hint 2

Still stumped? Try tracing paths backward, so
that you start from a village and work your
way back. This will make it easy for you to see
if any other towns are connected to the one
you selected.

hint 3

Just look for the town that's not connected
to any other. In other words, any town that's
connected to another can't possibly be the
right answer.

If you take a look at the map, you should be
able to see any connections between towns
with no trouble.

That's correct!

The only town that isn't connected by roads
to another town is the one in the upper-left
area of the map.

It looks like you're all ready to start
solving puzzles!

hint 1

Can you see how the matchsticks form a
dustpan? Notice that the scoop part is
pointing up in the picture.

To put the trash "in" the dustpan, you need
to arrange the matches so that the trash
is surrounded on three sides.

hint 2

Let's just keep the match farthest to the
left where it is. Keeping in mind that we need
to surround the trash on three sides, the
topmost match in the shape starts to look
ripe for rearrangement, doesn't it? Now all
you need to do is figure out which other
match to move.

hint 3

Move the match in the upper-right side of
the dustpan and the match directly above
the trash.

It shouldn't be hard to determine where
these need to go so that the dustpan looks
like it's scooping up the trash.

That's correct!

Do your part to keep St. Mystere clean!

hint 1

It goes without saying that if you open
every valve in sight, the water will make it
to your faucet. To keep things simple, though,
let's start near the source. It's safe to say
that you'll have to open one of the three
valves directly surrounding the water source.

Keep the number of valves you open in addition
to this one as low as possible, and you'll have
your answer.

hint 2

There are three more valves positioned near
the faucet. Work backward from each of
these and see where they go.

Do this right, and you'll eliminate quite a few
possible valves.

hint 3

You really only need to open two valves.

Start from the valves near the water source
and trace a route. If you don't find yourself
at the faucet after opening a second valve,
you made a wrong turn somewhere. This theory
also works in reverse.

Keep performing test runs like this and you'll
find the solution.

Good job!

Now go wash up!

hint 1

At a glance, the picture appears to be filled
with glowing objects that could well be eyes.
But remember, there's only one monster
attacking the village.

hint 2

The monster is huge.

In fact, it's so big that it could well cover the
whole of the town!

hint 3

Have you figured out where the monster is
going to strike from?

Look to the skies!

Well done!

It seems the fiend was hiding in the
night sky. You certainly gave it what for!

hint 1

Think about your first move here.

If you take the wolf over first, the sheep will
eat that poor, helpless cabbage.

Meanwhile, if you take the cabbage over first,
the sheep will fall victim to that hungry wolf.

So now do you have a better idea about which
of the three to move first?

hint 2

The key to solving this puzzle is being flexible
in the way you go about solving it.

Don't forget that you can bring a single
creature or item with you when you return to
the left bank of the river. When your cabbage
or sheep is in danger, you can always bring it
back with you.

hint 3

The sheep should travel first. When you
return to the left bank, you can bring the
wolf or the cabbage with you. However,
remember that no matter what you bring
over next, you'll have to take something
back to the left bank to keep your sheep
or cabbage from being eaten.

Now you should be able to solve this puzzle
with ease.

Well done!

The shortest solution for this problem
requires seven moves. How did you fare?

hint 1

There is no one definitive way to solve this
puzzle, but it's best to start by putting four
weights on each side of the scale.

If the scale tips one direction, you know that
the four weights off the scale don't contain
the weight you are looking for.

If the scale stays level, you know that
one of the four weights you didn't load on the
scale is the irregular weight.

hint 2

If the scale tips after you weigh eight weights
in the fashion described in the first hint,
take one set of weights off the scale and
keep the other four where they are.
Next, put the four unweighed weights on
the empty side of the scale.

If you make it this far, all you need to do is
narrow the possible choices down one more time
in the next step.

hint 3

If your scale doesn't tip after your second
weighing as described in the earlier hint, you
know the odd weight is somewhere within
the four weights you took off the scale.
If the scale tips in the same direction as
before, you know that the irregular weight is
somewhere within the four weights that you
kept on the scale. If it tips in the opposite
direction than before, the weight you seek
is one of the four you loaded on the scale
before the second weighing.

That's correct!

This challenging problem is well known
to many puzzle aficionados. If you're
lucky, it's possible to find the answer
without too much work.

Think of how you could do this if you
could use the scale as many times as
you wanted.

hint 1

Only one person is lying here, so let's take a
closer look at their statements.

If you assume A is lying, then A didn't eat the
fish. If that's true, does it support the other
two brothers' statements, or does it make
someone else a liar?

Try working things out logically like this in
order to find your answer.

hint 2

If B is lying, doesn't that also mean that what
A said is...less than accurate?

Surely by now you've realized that more than
one person could have helped eat this
fish, right?

hint 3

Here's a big hint for you.

Not one, but two uncouth individuals took part
in the consumption of your fish. Think about
who those two have to be.

Now that you know the truth behind what
happened, look at the three brothers'
statements again and see whose testimony
doesn't fall in line with what you know to be
true. There's your answer.

The liar here is C. A and C split your dinner
and each ate half.

The answer becomes clear when you realize
that if A is lying, B must be lying as well. The
same thing happens when you assume that B
is the liar. Therefore, the only possible answer
is that C is lying, a scenario that only works
if C actually did eat some of the fish.

hint 1

Look at the different dice shown. Now look up
from your game and think for a moment. Can
you think of anything in your environment that
shares a strong connection to numbers?

It's something just about everyone sees on
a daily basis.

hint 2

The first hint states that the dice share a
connection with an item in your environment
that most people see on a daily basis. However,
this item has come to take a completely
different shape recently.

The newer version of this mystery item shares
no connection with this puzzle.

hint 3

The dice represent an object you are
very familiar with.

In fact, you probably have one hanging on your
wall or strapped to your wrist right now!

That's right!

The dots on each die represent the hands on
an analog clock.

hint 1

There's no special trick to this puzzle. You
just need to be diligent and count up those
coins.

hint 2

Try tracing the rope with your stylus as you
count up the coins. If you fill in the area
that will travel upward when the rope is
taut, you should be able to get an answer
without too much work.

hint 3

There are 32 coins tangled in the rope.
When all is said and done, you won't even
pull in a third of them.

That's right!

You'll gather up nine coins when the rope is
pulled taut. It's really quite a simple puzzle,
but following every coin's path does take
quite a bit of time.

hint 1

English only has 26 letters. If you try out
each letter, you're bound to come across
the solution eventually.

hint 2

The puzzle talks about one object being
#r1,000 times#x another. Perhaps this phrase
relates to size in some way?

hint 3

This puzzle deals with #runits#x. Can you think of
any letters used to indicate measurements
of length?

That's right!

One meter (m) really is equal to
1,000 millimeters (mm).

hint 1

At its core, this is a simple math problem, so
you're just going to have to work it out if
you want to solve it. However, there is a
way to cut down on the amount of work you
need to do. Try thinking about the first and
last digits for each number.

The leftmost digit in the upper number is "4."

hint 2

There are two possible solutions, but some
digits are located in the same place for
both answers. For example, for both solutions,
"7" is the leftmost digit of the bottom number.

hint 3

This is the last hint you're going to get.

For the top number, going from the left,
the first three digits are "4," "1," and "2."

That's right!

There are two correct configurations
possible. Did you manage to figure out both?

hint 1

It helps to think about how a chain is formed.

To make a chain, you have one ring on each end.
Each ring between these two end rings will be
connected to two rings. If any of the rings
are connected to three or more other rings,
there's no way a chain can form.

hint 2

Two rings make up the ends of the chain. Which
two rings here look like they could be ends?

Remember, end rings are each connected to
one other ring.

hint 3

Two rings make up the ends of the chains.
If you study the picture closely, you can
see that the F ring is only connected to
one other ring, the E ring.

Meanwhile, the other end ring is the A ring.

So, which ring should you cut?

Good job!

If you examine the connections for each
ring, the answer is surprisingly easy, isn't it?

hint 1

Remember, you want to find the person who
ate the sausages, not the people who are
lying.

To attack problems like these, go through
your list of potential thieves, assume that
each one is guilty, and see which statements
fit in each case.

That should get you started. Good luck!

hint 2

If you have chosen the right person, then
three of the four boys' statements should be
false. If you think you've found the culprit,
but only two of the four boys' statements
turn out to be lies, you haven't found the
thief yet.

Here's another valuable piece of information:
only one person ate the sausages.

hint 3

All right, after this hint, you'll probably be
able to guess the answer without thinking,
but here we go.

A and B are lying.

Keep that information in mind and you should
have your answer in no time.

C ate the sausages, and the only person
telling the truth here is D.

If you assume A to be the culprit, both C's
and D's statements must be correct.
Choose B, and the other three boys'
statements must be true. If you make D
out to be the criminal, then what both B
and C are saying must be true.

None of these possibilities fit the conditions
set forth in the puzzle.

hint 1

Does the order in which you light the items
matter? Of course it does!

Think about the item #ryou have to light first#x.

hint 2

Your answer should be the item that, once lit,
lets you perform your other tasks.

Without lighting this, #ryou won't be able to take
care of anything else#x.

hint 3

This puzzle is devious in its simplicity.

Just think about the situation logically
and you'll have your answer.

That's right!

The first thing you need to light is the
match itself! Without a fire source, how
could you possibly start to take care of
the lamp, bathwater, or fireplace?

hint 1

You may be thinking there's going to be a lot
of bothersome calculation involved in solving
this puzzle, but you don't need to do anything
complicated to find the answer.

Read the problem over carefully.

hint 2

Do you remember how many mice you started
with? Have you considered how many mice you
can expect, given that number?

hint 3

OK, let me spell it out for you. You need your
mouse to become pregnant before it will give
birth. What does the mouse need in order to
become pregnant?

That's right!

Your mouse can't birth any babies by itself!

hint 1

Someone in a hurry might jump to the
conclusion that you need to find the lowest
common multiple between the three numbers.

Read the problem over again and see if you
can't clear things up for yourself.

hint 2

The three horses each run at different
speeds. To measure the horses' speeds, the
problem tells you how many laps each horse
can do #rin one minute#x.

The horses all run whole laps per minute, so
at least you don't have to deal with
strange speeds.

hint 3

One horse runs two laps in one minute, one
runs three laps in one minute, and one runs
four laps in one minute.

Where will the horses be one minute after
they start running?

You got it!

In one minute, horse A will have done two laps,
horse B will have done three laps, horse C will
have done four laps, and all the horses will be
lined up at the starting line.

hint 1

Don't just pick an answer based on what you
see on the screen.

If this puzzle could be solved with a quick
glance at the screen, it wouldn't be much of a
puzzle, now would it?

The human eye perceives vertical and
horizontal length differently.

hint 2

B is certainly not the hat you are looking for.

hint 3

D isn't the right hat either.

That's right!

This is a very famous optical illusion.

An optical illusion is a visual phenomenon
where your eyes perceive things differently
than they actually are. There are dozens of
known optical illusions.

What's the world coming to when you can't
even trust your own eyes?

hint 1

Surely somebody must have looked at the
diagram and realized that the triangle formed
by points A, B, and C is a right triangle.

That's sharp thinking and exactly right.
However, are you sure there isn't a much
easier way to find the answer?

hint 2

You don't need the Pythagorean theorem to
answer this one. Something else in the diagram
should be the exact same length as AC.

hint 3

Notice that diagonal line AC within the
rectangle is the same size as the
diagonal line BD.

Have you also noticed that BD is also the same
length as another part of this diagram?

Righto!

Diagonal line AC is the exact same length
as diagonal line BD. BD is the same length
as the radius of the circle, so once you've
figured that out, the only thing left to do
is add five and five.

hint 1

The key to this puzzle is knowing where to
look. The detail that distinguishes the one
picture from the rest has something to
do with the cards, that much is for sure.
It's not the number of cards, though, because
each picture has five cards.

hint 2

Each card is marked with one of four suits,
and each set of cards is oriented in a
different direction. Try to track the relative
shift in movement for every card in
the picture.

hint 3

Still stuck, huh?

Here's a big hint. Look at how the cards are
stacked on top of each other. Pay special
attention to how each card overlaps with
the middle card for your answer.

Good job!

This puzzle is fairly straightforward, but
catching the subtle difference in the
picture can take a while.

hint 1

You need to visit each island exactly one
time, but that doesn't mean that you have to
cross every bridge to do so.

hint 2

Try setting out from the start point and
just proceeding on your merry way. If you
come across an island you simply can't get to,
you may have just stumbled upon your answer.

hint 3

Examine the area around the middle of the
island cluster closely.

That's right!

Now get out there and go enjoy that
island paradise!

hint 1

Each picture should be composed of lines
that meet at different points.

With these pictures, if you find a single line
that runs out beyond the others, you know
you have to start your drawing there.

Try tracing the answer out yourself.

hint 2

Some points may be the convergence point
for several lines. You need to think hard
about which line to take in and out of the
point in order to make the sketches work.

If your pen is entering a point formed by
an even number of lines, you will always be able
to leave the point via another line.

hint 3

One of the familiar objects below can't be
drawn as a one-line puzzle.

You'd be surprised by how easily some of
the more complicated pictures can be drawn
in one stroke.

Very nice!

There's actually a very easy way to tell
whether or not a given picture has been
drawn in one stroke.

This method will be revealed to you
after you solve one more of these riddles.

hint 1

If the man wants to indicate the order in which
he needs to take his pills, he just needs to
write a number on each of the 10 pills.
While that's true, the bare minimum of numbers
he needs to write is fewer than 10. Think
about how he can accomplish this.

hint 2

When you have two visually identical items, you
only need to mark one of them. Therefore, you
don't need to mark each pill to tell them apart.

hint 3

Keep in mind that the man must start taking
his pills today. In fact, he's going to start
by taking the pill right in front of him.

If that's the case, does he really need to
mark which pill he's going to take today?

Good job!

Since the man has to start taking his
medicine today, the first thing he should
do is take today's pill. Next, he should
label the pills for days two through nine.
If he does this, he shouldn't have to label
the pill for the last day; it will be the only
one without a label.

He only needs to label eight pills.

hint 1

If you're persistent in your efforts, you'll
eventually get the ball to the hole, but there
are tricks to streamline the process.

The large block in the puzzle is relatively
limited in range of movement, so you're
going to have to do more work with the
smaller and more maneuverable blocks.
If you focus on them and plan out a route,
things should go smoothly.

hint 2

If you move the green block on the right down,
you can fill the space you create with a purple
block from the right. If you can pull that off,
you'll be able to move the blue block in the
upper left, which will allow you to move the red
ball out of its slot.

It may seem complicated, but give it a try.

hint 3

There is no set solution to this problem.

Here's one way to start out.
Move the lower-left purple blocks, then slide
the lower blue block to the left. Next, drop
the green block on the right down.

The rest is up to you.

Well done!

Were you able to get the ball to the hole
without shuffling too much back and forth?

If you had to move the ball lots of times
to reach the goal, don't worry! Figuring
out how to get to the goal in the fewest moves
possible is an interesting puzzle in itself.

hint 1

It sounds convoluted, but look again at what's
been presented.

#r"I'm as old as your age, plus half of my age."#x

This means that if you take away half of the
father's age, you'll have the age of the son.

As you already know, the son is 22.

hint 2

What the father is essentially saying here is
that if you add #rhalf of his age#x to the #rson's
age#x, you'll get the father's age.

If that's the case, the son's age must be
half of the father's age.

hint 3

As stated in the second hint, half of the
father's age is equal to the son's age. To
put it another way, the father's age is two
times that of his son.

That's right!

Half of the father's age plus the son's age
should give you the answer, which means that
half the father's age must be equal to the
son's age.

The son is 22, so the father must be 44.

hint 1

To solve this puzzle, you must base the time
it takes to climb the rest of the way on the
amount of time it took to make it to the
fourth floor.

How many flights of stairs did you climb
between the first and fourth floors again?

hint 2

If you start on the first floor, you'll travel
through the second-, third-, and fourth-floor
stairs before you reach the fourth floor.

When you continue on from the fourth floor,
you'll have to climb the fifth-, sixth-,
seventh-, and eighth-floor stairs before
you reach the eighth floor.

hint 3

There are three flights of stairs between
the first and fourth floors.

Between the fourth floor and the eighth floor,
you have an additional four flights of stairs
to climb.

If you've got all that, then you just have
to do the math.

You're right!

Going from the first to the fourth floor means
you climbed a total of three flights of stairs.
Going from the fourth to the eighth floor
means you will have to go up an additional
four flights of stairs.

hint 1

You may think all you have to do is add a few
things up, but there's a trick to this problem
that's easy to overlook.

Think about the way Ferris wheels have to
work. If two people catch the first ride of
the day, how much time will pass before they
get off the ride?

hint 2

If the wheel has to stop promptly at 10:30,
then the operator won't allow anyone on
who can't get off the Ferris wheel by 10:30.

So what does that mean? It means that when
two passengers step out of their gondola at
10:30, all other gondolas on the Ferris wheel
should be empty as well.

hint 3

The first pair of people to board the Ferris
wheel at 10:00 will get off the ride 10
minutes later. Since the ride itself takes
10 minutes, no one will get off until 10:10.
Then, from 10:10 until shutdown at 10:30,
people will get off the ride at a rate of two
per minute. Calculate the number of people
coming off the ride and you'll have your
answer, but be careful, because it's easy to
make a mistake.

That's right!

For the first nine minutes the Ferris wheel
is moving, the cars arriving at the unloading
zone are unoccupied. For the last nine
minutes of operation, needless to say,
no one will be allowed to board the cars.

From the time the Ferris wheel fills up at 10
minutes past the hour until the last passenger
steps off at 10:30, a total of 21 sets of
passengers will have taken a ride on the
Ferris wheel.

hint 1

You don't cut your own hair, do you?

hint 2

Everyone in this town has one of these two
handsome gents cut their hair.

The two barbers themselves are no exception
to that statement.

hint 3

Since they don't cut their own hair, the
miserable haircut Barber A received must
have been inflicted upon him by Barber B.
Poor guy.

That's right!

Everyone in the village gets their hair cut
by one of these two barbers. This includes the
two barbers themselves. Because people
don't usually cut their own hair, the
stylist with the butchered haircut is
probably the more skilled of the two.

hint 1

If you take the time to add things, this puzzle
can be solved in a minute.

Go on, try and add up how much money you'd
receive from both companies each year for
a few years.

hint 2

For Company A, you can just look at your
yearly salary to get your total income for
the year.

Company B will give you a raise halfway
through the year, so you'll need to calculate
two six-month periods to get your yearly pay.

Which one offers more money?

hint 3

Let's add up how much you'd make in your
first year at either company.

Company A gives you $100,000 for your
first year of work.

Company B gives you $50,000 for your first
half year and then gives you a raise. This
means that for the next six-month period,
you will make $55,000. Add those together
and you have your yearly pay for
year one: $105,000.

Nice one!

As seen in the image above, if you actually
calculate things out, you'll see that the
salary for Company B will always be $5,000
higher than the corresponding salary at
Company A.

hint 1

Fourteen boxes are visible in the illustration.
You have to use what you can see to visualize
where the hidden boxes are.

You can clearly see all the boxes in the top
two levels of the pile, so you only need to
worry about the two layers of boxes closest
to the ground.

hint 2

The boxes are stacked upon each other, so
any box not directly on the ground must
have another box supporting it from below.

Knowing this, you can infer that there are
no fewer than six boxes in the layer that's
second from the bottom, and no fewer than
nine boxes resting directly on the floor.

hint 3

Working from the ground up, you can deduce
there are nine boxes on the first layer, six
boxes on the second layer, four boxes on the
third layer, and then one box that rests on
the entire stack. That gives you a total of
20 boxes, which is how many the puzzle says
you have.

With all boxes accounted for, all you need to
do is figure out which of these hidden boxes
are completely surrounded by other boxes
on all sides.

Quite right!

Moving down from the top level, you have one,
four, six, and nine boxes. The only boxes you
can't access without rearranging things are
the three indicated in the above picture.

hint 1

Take another look at the picture.

When this big cube is divided, which of the
small cubes do you think will have one
side painted?

At the very least, the corner boxes won't fall
into this category. Every corner box has
three painted sides.

hint 2

As stated in the previous hint, all the
corner pieces of the big cube have three
painted sides.

Additionally, with the exception of corner
boxes, all the small cubes that touch
another face of the big cube have two
painted sides.

hint 3

As shown in the diagram, the only small cubes
that have one side painted are the ones
located in the dead center of each face of
the big cube. Each face of the big cube has
only one of these.

That's right!

If you can dissect the block in your head
in the way shown above, the answer is easy
enough to come by.

As you can see, the number of small cubes
with one side painted red is six, one for
each face of the larger block.

hint 1

Each of the 10 jars holds 50 pieces of candy,
for a total of 500 pieces. You've taken this
mountain of candy and divided it into 20 bags.

Pretty straightforward so far, right?

If you've made it this far, try reading the
puzzle again carefully.

hint 2

Think carefully. What exactly is the puzzle
asking you?

That's right, you need to figure out the
percentage likelihood that there will be an
average of 25 pieces of candy per bag.

That's different from simply asking the
percentage likelihood that a bag contains
25 pieces of candy, isn't it?

hint 3

This will pretty much give the answer away,
but since you paid for a hint, let's break it
down, shall we?

Ten jars with 50 pieces to a jar means you
have 500 pieces of candy in total.

If you divide those 500 pieces into 20 bags,
you get 25 pieces... Now think about what
exactly that number signifies.

Very good!

You had 50 pieces of candy in 10 jars,
giving you a total of 500 pieces of candy.
You divided 500 pieces into 20 bags, so of
course the mathematical "average" of this
will be 25 pieces a bag.

hint 1

At first, it might look like whoever wrote this
on the board was just terrible at math, but
the truth is that just about everyone does
calculations like these.

Heck, you probably do it just about every day.

hint 2

Eight minus six does, of course, equal two.

But under what conditions does adding six to
eight equal two? Here's a hint: when you do
math like this, you probably use a
commonplace item that many people have
on hand.

hint 3

In this particular type of calculation, no two
numbers will ever add up to equal a number
higher than 12. This is the most common
method, and the one you probably use daily.

However, some people use a different method
of calculation where two numbers can add up
to reach totals as high as 24.

You are correct!

This puzzle is using time as a framework for
the calculations. If you take six hours away
from eight a.m., the time becomes two a.m.
Move forward six hours from eight a.m. and
the time becomes two p.m. Therefore, if you
add six hours to seven a.m., you should arrive
at the answer, 1 p.m.

You can, of course, reverse a.m. and p.m. and
still find the solution.

hint 1

If you flip the shape in Diagram A, you get the
shape shown in the upper-right part of the
screen. Try to visualize where that black dot
is when the white side is up.

Diagram B is just a rotated version of
Diagram A, so you know that the position of
the black dot in Diagram B must also
rotate accordingly.

hint 2

When the shape is positioned as shown in A,
the black dot is behind the middle-right prong
of the shape. Flip the shape over and you'll
see it on the middle-left prong.

See how the dot moves when you flip the shape
over? Now think about where that dot should
be in the orientation shown in B.

hint 3

Moving clockwise, when the white side is
facing up (as in the left picture of B), the
black dot is two spaces ahead of the red dot.

Now you should pretty much know where the
black dot is. Just visualize the shape flipping
over and you'll have your answer.

That's right!

Take a look at the diagram for the answer.

hint 1

If you're guessing that there's some order
to the way the cards are lined up, you're
absolutely correct.

Think about what series of things could be
represented here.

hint 2

How many cards do you have there? Ten,
right? That's a bigger hint than you think.
Look closely at which card is blank.

hint 3

As odd as it may seem, all the knowledge you
need to solve this puzzle you probably had
from the day you stepped into first grade.

It's safe to say that it's one of the first
things you ever learned.

That's right!

The letters written on the paper correspond
to the first letter in the numbers one
through 10.

hint 1

Examine the dice and try to find a reason
or method to their orientation.

You might think that the dice's arrangement
has to do with the total number of dots, but
this puzzle is far more simple than that.
Just pay attention to the way the dots on
the dice line up.

hint 2

Look at the way the dots are lined up.

See how there are three rows of dots stacked
on top of one another?

One of those rows holds the key to
this puzzle.

hint 3

The dots on the dice form three rows that
are stacked on top of each other.

You need to focus on what's going on in the
top row. Scan the row from the left to the
right. Do you notice anything going on?

Nicely done!

If you look at the dots on the dice as three
rows stacked on top of each other, you can
see that there is a trend in the top row
of dots.

O, OO, OOO... The groups of dots continuing
in an unbroken chain in the top row increase
by one each time. The final set of dots should
be six dots in a row, and you need three more
dots to make that happen. Therefore, the
answer is C.

hint 1

Out of 53 cards, four are aces. Each time you
flip a card, the probability of turning over an
ace increases...but you really don't need to
work out any of that.

Think about what you can do to eliminate
other variables to consider.

hint 2

If you distill this question down to its
simplest form, it's just asking you how
likely it is you'll flip over four aces in
any order before you turn over the joker.

The other 48 cards have nothing to do
with the problem.

hint 3

OK, let's lay it all out on the table,
so to speak.

There are five cards that actually matter in
this puzzle. Of those five, the joker has to
come last. What's the probability of flipping
the joker after the other four cards?

That's right!

While it may seem like you need to take other
cards into account, no card in the deck,
save the joker and four aces, plays any part
in calculating the percentage.

Knowing that you only have to deal with five
cards in your calculations, the rest is easy.
You have five cards to flip, and you need one
of those five cards to be last. So your answer
is one out of five, or 20 percent.

hint 1

Z isn't the answer. Though it might not seem
like it, that's a very big hint.

hint 2

The letter after P isn't Q. It's H.

hint 3

Still nothing? Look at the title of this
puzzle. It's all you really need to know.

Good job!

The last letter in the word "alphabet" is
the letter "T."

hint 1

Here are some helpful facts to keep in mind.
No pentagon shares a side with another
pentagon. Also, there are a total of 12
pentagons on the ball. Since every pentagon
has five sides, there are a total of 60 sides.

All hexagons share three sides with
other hexagons.

hint 2

Pentagons are surrounded on all sides
by hexagons.

You may be tempted to think that there are
60 hexagons because each of the 12 pentagons
is surrounded on all five sides by hexagons.
However, that count doesn't add up, because
each hexagon shares three borders
with pentagons.

hint 3

A total of 60 sides on 12 pentagons might
lead you to think that your answer should be
60, but remember that each hexagon touches
three sides from three pentagons.

This means you really only need one hexagon
for every three sides of a pentagon. So just
divide that number you had in mind by three.

That's right!

If you pay attention to the areas where the
black and white shapes share an edge, the
problem is a snap.

hint 1

It's common for people to start thinking about
the way they need to break the chocolate in
order to achieve the objective at hand.
However, the truth is that no matter how you
break the chocolate, the answer you arrive
at will be the same.

hint 2

Split a sheet of chocolate and you get two
segments where there was only one before.
If you then break one of your two segments,
you get a total of three segments.

Your third break, regardless of what segment
you choose, will yield a total of four segments
of chocolate.

Do you see a pattern here?

hint 3

Since you can't break multiple segments of
chocolate at a time, you increase the total
number of segments you have by one. If you
caught on to that, the rest of the problem
should be a breeze.

That's right!

If you follow the rules set out in the puzzle,
then it really doesn't matter how you break
up the chocolate. The number of segments
you have increases by one each time you
break a chunk off the sheet.

You start with one segment of chocolate, so
29 breaks later, you should have 30 segments.

hint 1

If the club is to the immediate right of the
heart, the heart can't be the rightmost card.

Neither the diamond nor the spade are next
to the heart. You know that the club is to the
immediate right of the heart. So the card
to the left of the heart is either the joker,
or the heart is the leftmost card itself.

hint 2

The heart is to the immediate left of the club,
and neither the joker nor the diamond are
next to the club. So either the club is the
rightmost card, or the spade lies to the right
of it. Don't forget that the diamond, heart,
and joker can't be next to the spade.

Therefore, the spade is the rightmost card,
and the club lies to its immediate left.

hint 3

From earlier hints, you know that from the
right side, the cards appear in this order:
spade, club, then heart.

As for the two remaining cards, you know that
the diamond can't be next to the heart, so the
joker must be the fourth card from the right.

Excellent!

Only a strong grasp of the principles of logic
can get you through a puzzle like this.

hint 1

Even something as common as paper can
look bizarre to someone who's never seen
it before.

What kind of device puts holes in paper?
It must have a needle or sharp point on it.

hint 2

This object uses a needle to punch a hole
in a sheet of paper.

Then it's used to draw a solid line around
the hole. Since it draws a line, it must have
some sort of writing implement attached to it.

hint 3

It's safe to say that very few people ever
use these once they grow up and join the
working world.

However, because of math class, a startling
number of students probably have one in
their bag or their desk at home.

Nice work!

When you think about it, the alien's description
of a compass is pretty much spot on.
Interesting how widely the perception of a
single object can vary, isn't it?

hint 1

As stated earlier, the hall is multipurpose.
Don't you think that, depending on the size
and nature of a day's event, the number of
chairs needed will change?

hint 2

When choosing chairs for the home or office,
most people base their selection on comfort
and other factors that affect what the chair
is like when it's in use.

But for this particular application, the most
important aspect of this chair is what you
can do with it when it's #rnot in use#x.

hint 3

Naturally, when a very large group of people
are using the hall, a large number of chairs
are necessary.

But what about smaller events? When only a
smaller number of chairs are needed, storing
the extra chairs can turn into a big problem.

Which chair makes #rstorage the easiest#x?

That's right!

Of all the designs, only E can be stacked
upon itself.

In a hall like the one described, each event
requires a different number of seats, and
thus a change in seating arrangement.
The storability of E makes it the best
chair for the job.

hint 1

When you see a group of words that have a
similar theme, it's easy to get hung up on
their meaning. Instead, look for other ways
to interpret the question asked of you.

For example, other than a very literal
definition, what else could "the sound of
silence" be referring to?

hint 2

Read each word out loud and pay attention
to how they differ from each other. In
particular, think about how each word
is pronounced.

hint 3

Still stuck?

Think about what letters aren't pronounced.

Excellent!

That's right, the answer is "Rest." All of the
other options have silent letters.

hint 1

This puzzle might look like a big mess at
first, but it's fairly simple when all is said
and done.

Take E, for example, who says everyone is
lying. If she is actually telling the truth, then
her statement becomes a lie, and she must
be ruled out. Yep, E's a liar for sure.

hint 2

Let's rule out another couple of suspects.
If A's statement is true, then three
other people should be saying the same
thing as A. This is not the case, so A is a liar.

If B is telling the truth, two other suspects
should say the same thing as B. Once again,
this is not the case, so B must be lying.

hint 3

So, to sum things up, so far we've proven that
A, B, and E are lying. Let's examine the last
two suspects.

If three people are lying, the other two
suspects should have the same statement,
but everyone is saying something different.
On the other hand, if four of the five
suspects are lying...

That's right!

Every suspect accused a different number of
people. If anyone was telling the truth, it had
to be one suspect, no more or less.

The only suspect whose statement fits
that condition is D. It looks like he's a free
man now.

hint 1

What do you think the numbers assigned to A,
B, C, and D represent? Take another look and
see for yourself.

hint 2

A, B, C, D, and E refer to sections of the
diagram. What separates one section
from another?

hint 3

Focus on the edges between sections and the
possibilities that arise from that line
of thought.

Well done!

The number assigned to each letter refers
to the number of sections that are touching
the labeled section.

hint 1

Don't lose focus of what's being asked.

Keep in mind that you aren't being asked the
percentage likelihood of you grabbing your
own umbrella from a group of three.

hint 2

If two people have already successfully taken
their own umbrellas, then who does the final
umbrella belong to?

hint 3

Three umbrellas sit in a bin. Two people come
by and take their own umbrellas by chance, but
the third person fails to do so... Hey, is that
even possible?

That's right!

If two people manage to grab their own
umbrellas, the third person is left with only
one umbrella to take: her own!

It's impossible for only two of the three to
pick up their own umbrellas.

hint 1

In 20 minutes, the raft can make two
round-trips to the boat.

Where is that boat located after two trips to
the island and back?

hint 2

After two round-trips, the raft returns
to the ship. At this point, 18 minutes have
passed, but since the ship hasn't sunk yet,
there's no reason the raft can't pick up a
few more passengers.

That's right, the raft has time to pick up
three loads of passengers.

hint 3

You now know that the raft has time to pick
up three loads of passengers, so you're
probably raring to answer.

Just be careful, as there is one more trick
to this puzzle that you might not have picked
up on. It's sad to say, but not every
passenger will make it off that ship alive.

Nicely done!

A moment of silence for the two who didn't
make it, please...

hint 1

You just need to find the difference between
the father's age and mother's age. At what
ages are the two parents separated by two
times the age of the mother?

There's only one point where the father's age
can change from twice the mother's age to
1.5 times the mother's age after one year.

hint 2

For the father's age to change from twice the
mother's age to 1.5 times the mother's age
in one year, both parents would have had to
be very young at the time. Very, very young.

hint 3

When the mother was one year old...

That's right!

The mother is 43 years old.

When the boy's father was two years old, his
mother was one. The next year, he turned
three and she turned two. When you realize
this is the only combination of ages that yield
the ratios mentioned in the problem,
everything starts to make sense.

hint 1

This one's sort of a pain, isn't it?

The kid who broke the window is certainly
lying, but you can't forget that a number
of the #rother children might be lying as well#x.

Keep that in mind as you solve this puzzle.

hint 2

We've already established that the child who
actually broke the window lied. Therefore,
the child who broke the window must have
denied breaking the window when confronted.
In other words, B couldn't have broken the
window, and D must be telling the truth
about B. By the way, D didn't do it either.

hint 3

If what A said is true, then C must also be
telling the truth. That would mean we had four
honest children on our hands, which we know
to be false.

Either A or C had to have broken the window.

Good job!

B and C were also lying about what happened
even though they themselves didn't break the
glass. Make sure you give those two a good
scolding as well!

hint 1

The two workers receive $100 for the job
and divide it according to the amount of work
each person did. In this case, "work" refers to
#rthe number of acres each person seeded#x.

Read the puzzle again and think about exactly
how much work each person did.

hint 2

Since work refers to #rthe number of acres
each person seeded#x, the amount of time each
person took isn't a factor in deciding payment.

hint 3

Did you see the sentence that said that
Roland and Alfred were assigned a
#r10-acre plot of land to work together
and split it in half#x? What does that tell
you about the amount of work each
person did?

That's right!

The beginning of the problem says that the
two men #rsplit the 10-acre plot of land in
half so they could work independently#x.

In other words, they both had the same
amount of work assigned to them.

Since each person did half the work, the pair
should split $100 right down the middle. Each
person gets $50.

hint 1

This puzzle isn't math intensive, but there
is a particularly tricky aspect to it that
trips most people up.

The camera and case cost a total of $310
but #rdiffer in price by $300#x.

hint 2

OK, if you assume the case costs #rX#x,
then the camera must cost #rX#x plus $300.

This means that the camera itself must cost
#rmore than $300#x.

hint 3

The case and camera cost $310 together.
The camera costs $300 more than the case.

It may seem like the answer is $300 for the
camera and $10 for the case, but if you do the
math, you'll see that the difference in price
is only $290.

Have you noticed that already?

Good thinking!

That merchant had an awfully misleading way of
explaining things, didn't he? Make sure you
don't get duped by some swindler next time you
go out shopping!

hint 1

One week has seven days. The boy has to study
two hours every day, so the answer must be
14 hours, right?

Come on now, what kind of puzzle would this be
if that was the answer? What you need to do is
brainstorm ways the boy could beat the
system. For example, would starting his daily
studies at an odd hour benefit him at all?

hint 2

Each study block must continue uninterrupted
for a period of two hours.

If he starts studying at 11 in the evening,
tough luck. He'll just have to continue past
midnight and study into the next day...

hint 3

If the boy really wants to bend the rules, he
should study every other night and begin his
studies less than two hours before midnight,
so that he technically studies for two days
in one session.

Normally, he'd have to study for four hours
over two days, but this way he can still obey
his teacher's orders while spending half the
time studying.

Very clever!

If the boy simply takes the teacher's orders
at face value, he'd have to spend two hours
a day studying for a full seven days, thus
studying a total of 14 hours.

But if he starts studying just before the
date changes and finishes two hours later, he
can get away with doing a lot less studying.

In total, the boy only studies two hours
every two days and two hours the last day. So
the answer is eight hours.

hint 1

Look at all the options again and try to
figure out what they have in common.

hint 2

After writing down the name of each option,
try looking for a pattern.

hint 3

If the first option shows a handshake, and
the fourth option shows cuff links, the
answer must be...

Good job!

As you guessed, the answer is handcuff. The
key to this puzzle is that each option is
a compound word that can be broken into
two parts.

hint 1

This puzzle would be a lot easier if you were
allowed to use mirror versions of the shape
as well. Since you can't, though, here's a
hint to get you started on the right track.

Don't start off by dividing the wood into two
pieces straight through the middle.

hint 2

Have you ever seen a standard office staple?
Well, that's the shape you are looking to cut
out here, except it'll be a bit longer in the
middle than your standard staple.

hint 3

The board is shaped like a large H.

First, cut a staple-shaped piece out of both
of the vertical lines that make up the sides
of the H. Then, draw a line through the
middle of the horizontal line that remains
to separate the last two pieces.

That's right!

Once you got the shape of the pieces, it
wasn't so difficult. But it wasn't all
that easy to find them within the wood,
was it?

hint 1

To satisfy all the conditions set forth by the
puzzle, you need to cut the chocolate into
four L-shaped pieces.

Now, how to divide it up?

hint 2

It's easy enough to cut the chocolate into
four L-shaped pieces. The problem is getting
those stubborn almonds into the right places!

Try working it out a few times. If two almonds
keep ending up in the same piece of chocolate,
you know you've got to rework your strategy
for dividing up that section.

hint 3

As you can see, there are a total of 16
squares of chocolate that you'll divide up
into four sections of four squares.

There are only so many ways to arrange four
L-shaped pieces of chocolate into a perfect
square. See if you can brainstorm a few
before you begin cutting.

Nicely done!

Now make sure you share with everyone!

hint 1

The example shape that the puzzle shows you
(Diagram 2) isn't at all indicative of the shape
you're looking for.

Think about a totally different shape you'd
like to try.

hint 2

The paper has a total area of 15 squares.

Since you're trying to assemble a rectangle,
the only dimensions possible are 3x5
squares or 5x3 squares.

hint 3

Look for a piece that can help you complete a
rectangle that's five squares tall.

Now that you know the height of your
rectangle, you should be able to narrow down
your options a little.

That's right!

Now that you know the answer, the puzzle
seems quite simple, doesn't it?

hint 1

Just trying to clear the cars immediately in
front of the professor's vehicle won't get
you anywhere.

Think about exactly what it is you'll need
to do to clear a path to the lot exit.

hint 2

Don't be afraid to take a step back to move
ahead two steps. You may need to move some
things into the way to get them out of the way
in the end.

When you're moving cars around, be sure to
keep in mind each car's directional limitations.

hint 3

To start, you'll need to move the two cars
directly in front of the Laytonmobile. In order
to do that, you'll first need to move the
horizontally oriented car that sits right
above those two vehicles.

Once you've completed that task, move the
Laytonmobile forward toward the exit. Then
try to rearrange cars at the end of the lot
opposite the exit.

Good job clearing out traffic.

Now try to solve this puzzle again in the
fewest number of movements possible. If
you're really good, you should be able to
do so in 14 moves.

hint 1

The feuding parties have demanded that the
land be divided into four identically sized
properties. You'll have a much easier time
achieving this if you start all your divisions
from the middle of the large chunk of land.

hint 2

If you find a group of houses or wells
together, you know where one of your
property lines needs to go.

Now you just need to use a little logic to
determine where the lines need to
pass through.

hint 3

The division lines for all four properties run
through the center of the map.

You'd do well to try dividing things up further
after you've decided how to allot the four
squares in the center of the map.

That's correct!

Finally, an end to the bickering!

Dividing the land like that doesn't seem very
sensible, but if it keeps the owners happy, you
can't really complain, can you?

hint 1

Since the tiles have a different length and
width, you'll need to find a number that can
be divided by both dimensions.

Of course, the puzzle doesn't end there. You'll
need to do a little creative thinking in order
to find the fewest number of tiles that allow
you to form a square.

hint 2

Don't forget that the puzzle also gives you
the #rthickness#x of the tiles.

hint 3

As the sides of the tiles are 10 and 12 inches
long, the smallest common multiple of the
two works out to 60. Therefore, you'll need to
arrange a 5x6 tile square. That's a total
of 30 tiles. Simple, right?

Too simple, in fact. There's a way to make a
square using even fewer tiles.

Good work!

The key to this problem is realizing that the
tiles have depth to them. Once you understand
that you have a third dimension to work with,
the rest should fall into place for you.

hint 1

It's hard to get started on a puzzle that
seems to present so many possibilities,
but you'd be surprised at how much you
can learn by simply trying out the various
routes through town.

The paths are littered with twists and turns,
but if you try tracing any of the given paths,
you can see how the bandit would make his
way through town.

hint 2

To simplify the question, what you're really
looking for is an exit that's positioned so
that the bandit has to turn away from it
every time he draws near.

Do you see any place like that on the map?

hint 3

If you've tried any of the paths near the
entrance the bandit came from, you know
that the bandit can escape via A, G, F, and E.

Your answer is one of the other three exits.

That's right!

As you can see from the diagram, if the bandit
must turn every time he approaches an
intersection, the ways he can move through
the town are set.

As a result, no matter how he approaches B,
he'll never be able to leave through there.

hint 1

Since you have seven pigs to separate
and only three ropes, it's pretty much
a given that the ropes will have to overlap
in places.

Go ahead and hitch the ropes up a couple
of times. You might just find the answer.

hint 2

Look at how the seven pigs are arranged. Do
you see the one pig in the middle? In order to
separate him from the other pigs, you're going
to have to surround him with rope on all sides.

Your three ropes need to be arranged in such
a way that they surround and isolate the
middle pig.

hint 3

Arrange your three ropes so that the little
pig in the middle is surrounded completely.

Next, look at how your ropes are laid out.
You need to keep the middle pig surrounded,
but you also need to separate the other pigs.
There aren't many configurations that will
satisfy those conditions, so you should have
an answer before you know it.

Good job!

You've made a lot of pigs very happy.

hint 1

There are no equilateral pentagons within the
shape, so all the ones you do find will have at
least two sides with different lengths. Count
each one you spot.

hint 2

Count every five-sided shape you can find!
Each pentagon you spot can be reproduced on
a different section of the picture by rotating
the image 90 degrees. That means that for
every type of pentagon you find, you've
actually found four more pentagons.

hint 3

Surround the square in the middle of the
picture with triangles from within the
picture to make different pentagons.

Make a special effort to look for pentagons
formed by attaching multiple triangles to the
square in the picture. These are usually the
hardest to spot.

Nice work!

Three different types of pentagons are
hidden in this picture. Since each shape can
face four different directions, you have a
total of 12 unique pentagons.

hint 1

Most of the squares you make will be tilted
45 degrees to the side, and their sizes will
vary as well.

Start by looking for pins you can connect to
create squares at a diagonal.

hint 2

You want more specifics? All right, here's the
location of one of the squares. Connect the
four pins in the top-left corner to form a
tiny square.

Just so you know, this is the only square on
the board that isn't tilted.

hint 3

The largest square contains the pin that's
third from the top on the left column and the
bottom pin from the far-right column.

You also need to form a small diagonal block
using the two pins lined up diagonally on the
bottom-left portion of the board. There are
two more small squares just like this one on
the board.

That's right!

Tracking down all those tilted squares was
pretty fun, wasn't it?

hint 1

Do you see the circle that touches the sides
of the big blue square?

A smaller square sits inside the circle and
touches it. Since the square is smaller than
the circle, you can rotate it within the circle.

hint 2

If you rotate the middle square 45 degrees,
its corners will touch the sides of the
large blue square.

At the same time, notice that this rotation
has made it so that the red square's corners
now make contact with the middle square.

Having trouble visualizing the rotation? Try
drawing it on your screen.

hint 3

From the rotation described in the second
hint, draw two perpendicular lines from the
outer circle through the middle to divide the
squares into four quadrants.

Do this and you'll see that the middle square's
area is equal to half of the blue square's. Go
and try if for yourself.

That's right!

If you rotate the middle square 45 degrees as
shown in the picture above, the answer
becomes apparent.

The middle square has half the area of the
large blue square, and the little red square
has half the area of the middle square.
Therefore, the little red square is one-
fourth the size of the blue square.

The blue square is four times the size of the
red square.

hint 1

The original cross in this problem is composed
of 24 pins.

The board contains a total of 49 pins.
Subtract the 16 pins on the outside and the 17
on the inside and you get 16, the number of
pins that will make up your cross.

hint 2

There are only a few ways you can place a
16-pin cross on the board.

When you think you're onto something but
don't have quite enough space to draw
your cross, you should try something a
little bit different.

Like maybe changing the orientation of
your cross...

hint 3

The cross has to be oriented diagonally on
the board.

Now you just need to decide how big to make
your cross. Make sure you draw it to include
the right number of pins!

That's right!

This puzzle is a cinch once you figure out
that the cross needs to be placed diagonally
on the board.

Sometimes the only thing you really need to
solve a puzzle is a little creative thinking.

hint 1

There's no trick to this one. No, really! All you
need to do is count them up.

hint 2

The number nine shows up in 9, 19, 29, etc.
Every time you go up by 10, you'll find another
nine, but don't think you've got the answer
just yet. There are more than 10 nines for
you to find.

hint 3

Remember that all the numbers from 90 to 99
contain nine as well.

That should be all you need to know, so go
ahead and count those nines up.

That's right!

The answer is 20. Even if you try to count
the many nines between one and 100, it's easy
to mess up and forget one along the way.

What a tricky puzzle.

hint 1

Doesn't it seem like the longer a puzzle
explanation is, the more likely you are to find
a trick in the wording?

Read the explanation carefully and pay
attention to what exactly it is that you're
being asked to answer.

You shouldn't need to calculate anything to
find your answer.

hint 2

Don't bother multiplying 216 by six again. You
don't need to do anything like that to find
your answer. That's right, this puzzle is
THAT simple.

hint 3

It doesn't matter what numbers appeared in
the three previous rolls.

The puzzle is asking you what the probability
is of a three showing up in the next roll.

Terrific!

It doesn't matter how many times you roll the
same number. If you are only asking about the
probability of rolling a three in one turn, the
chances will always be one in six.

hint 1

There are multiple correct answers, so the
best thing to do is just work patiently
until you find a solution.

For those of us without patience, here's a
more obvious hint: you can eliminate the
five tile.

hint 2

The five tile isn't used in your answer, nor
is the seven tile.

Now that you know the seven tiles you need to
work with, see if you can find the answer.

hint 3

When you multiply each row of numbers, they
should all equal 72.

If you still feel like you could use a hint,
here's one more. Place the two tile in the
center slot of the lock.

That's right!

As long as all three of your combinations equal
out to 72, you've got the right answer.

The diagram above shows one of many
possible correct configurations.

The only tiles you can't use in your answer are
the five and seven tiles.

hint 1

Your first priority should be to get all the
balls switched over to their matching zones.

Once you've moved the balls to their correct
zones, you can worry about arranging them in
the proper order.

hint 2

You are going to have to be a little methodical
in your approach to this puzzle.

You can stumble upon the answer by just
moving things around, but the puzzle is much
easier to finish when you create rules for
yourself to operate by.

Make sure you aren't just repeating the same
unsuccessful moves each time you start
moving balls around.

hint 3

It's easy to move balls around without
thinking, but that'll get you nowhere.
Remember to stay focused on your
goal when moving things around. The
truth is that experimenting with the puzzle
is more useful than any hint you could get,
but since you paid for it, here's one more.

You have very little room to work with. As
you've probably figured out, there's a single
spot in the center where you can stash a
ball, so make good use of it.

Great job!

hint 1

Here's a little pearl of gumshoe wisdom.

The best way to understand something isn't to
study it intently from #rone perspective#x.
Instead, try to approach the problem from a
#rvariety of angles#x.

hint 2

When you feel like you've seen all there is
about a case, sometimes #rupending
everything#x can give you a new view on matters.

Have you ever considered upending your DS?

hint 3

Hold your DS upside down and take another
look at the note.

Do you notice anything about the note now?

That's right!

If you flip the note upside down, you'll notice
that the numbers resemble letters and that
those letters form legible sentences. The
message recorded there is "Bill is boss.
He sells oil."

hint 1

If it weren't against the rules for this puzzle,
it would be easy to just switch the second and
fourth glasses with each other.

But since you can only pick up one glass at
a time, that idea is right out.

hint 2

You have to move things around so that there
is juice in every other glass. Surely there's a
way to do this that doesn't involve switching
the glasses themselves around.

hint 3

You don't need to change the positions of the
actual cups. You can achieve the same goal by
just moving the liquid from one cup to
another.

If you are just moving liquid, how many cups
do you need to pick up to complete the puzzle?

That's right!

Pour the contents of the second cup into the
fourth cup and then return it to its original
position as shown above. This way, the task
set before you can be completed in one move.

hint 1

First off, pay no mind to the sample path
shown on the screen.

Here's an additional hint for you. Nowhere
within the problem does it say the guard can
only enter each room once. It's OK for your
path to move back through a previously
visited room.

hint 2

Has the layout of the rooms and the sample
path shown made you feel like all your turns
need to be 90 degrees?

This puzzle wants you to find the solution with
the fewest number of turns. This means that
movement will always be in a straight line, but
the angle of any given turn is up to you.

hint 3

There's no reason the guard should have to
enter the exhibit at an angle parallel to the
room. Consider a path that starts with the
guard entering from a 45-degree angle.

Don't forget, you can move through the
same room twice.

That's right!

If the security guard takes a path like the
one shown above, he can finish his patrol of
all nine rooms in just two turns.

Since the example shows the guard turning
right angles to go from room to room, it's easy
to assume that your solution works the same
way even though that's not the case.

hint 1

Don't spend too much time trying to think
it out. Instead, just move those brothers
around and see what develops.

There are only three seats Brother 2 can sit
in because he can't sit next to Brother 1.
Plop him down in any one of those seats and
move on to Brother 3. We know Brother 3
can't sit next to Brother 2... And so on and
so forth.

hint 2

This puzzle would be a breeze if it weren't for
the spat between Brother 3 and Brother 5.
What a pain they are.

Sit Brother 3 next to Brother 1. That ought
to keep the little guy in line.

hint 3

You already know to sit Brother 3 next to
Brother 1.

Next, sit Brother 4 directly across the table
from Brother 1.

The rest is up to you.

Good job!

Sit the boys as shown and there shouldn't
be any trouble. The mirror image of
this seating arrangement is also a
valid answer.

Finally, a meal in peace.

hint 1

You can only produce two new surfaces by
cutting the cake. Where do you need to cut
the cake in order to make these cross
sections appear square?

When you figure that out, you've basically got
the answer. Recall what the puzzle said about
the thickness of the cake.

hint 2

It's obvious that the two exposed surfaces
that result from your cut will serve as two
of your four square sides. Where do you think
the other two sides will come from?

hint 3

In order for the two surfaces you cut
between to come out as squares, you need
to cut the cake at a point where the length
of the piece equals the thickness of the cake.

Do you have an idea where that might be?

That's right!

Cut the cake as shown here.

The two newly exposed surfaces, along with the
two additional surfaces from the newly cut
wedge of cake, give you four perfectly square
sides of a cube.

Once you figure out that the thickness of the
cake is the same as the length from any
corner of the cake to the first marking, the
puzzle is...a piece of cake.

hint 1

This slide puzzle only has eight movable parts,
so don't be intimidated. Take your time with it.
If you aren't seeing much progress, try
something new with each move. Don't get
stuck moving pieces in the same pattern
again and again.

hint 2

Have you noticed that a few of the pieces
look very similar to some others? Focus
your attention on those.

hint 3

If you are still having trouble, start by moving
the piece in the upper-left corner out of its
starting location. You can't finish the puzzle
without doing so.

Good job!

You've made a little worm very happy. For a
simple slide puzzle, it was pretty difficult,
wasn't it?

As you were moving things around, did you
notice that several pieces of the puzzle had
almost identical duplicates?

hint 1

Thinking in fractions is the key to success.

hint 2

As the first hint suggested, don't try and
calculate out hard numbers for this puzzle.
Within the parentheses, you will encounter
some odd fractions. Keep these in fraction
form for the remainder of the problem.

After all is said and done, as long as your
numerator is 10 times larger than your
denominator, you've found your answer.

hint 3

The eight goes in the rightmost slot.

Your goal is to arrange the numbers so that
everything to the left of the equal sign
calculates out to 40/4.

Sharp thinking!

You have to think in fractions to solve this
one. If you don't realize this early on, this
puzzle can really be a bear to solve.

hint 1

This puzzle is all about looking at the picture
from a fresh perspective.

Try rotating your DS to the side and see
what happens.

hint 2

The hidden animal is a four-legged mammal.

hint 3

You're looking for an animal big enough to ride.

That's right!

Rotate the picture to the left and all of a
sudden, you're staring at a horse.

hint 1

When solving this puzzle, many people think
they have the answer on their first try, only
to discover otherwise.

Try to walk as much of the road as possible
on your way to point B.

hint 2

The area that the boys are walking is a square
that's more or less composed of long and
short sections of road.

After you've charted out your course and
think you have the answer, take a quick look
to see how much road you left untouched.

hint 3

Starting out from point A, head as far to the
left as possible. When you reach the left
border, start heading south.

The longest path you can draw will form an
S-shaped line through the middle of the town.

Nice work!

Speaking of leisurely strolls, have you been
outside today? If it's sunny, why not go for
a nice walk?

hint 1

The first thing you need to do is identify the
pattern within the large shape. It's a simple
pattern made up of squares, Xs, and circles
running diagonally down and to the right.

hint 2

If you've determined what belongs in the blank
spaces, you just need to find the option that
matches the missing spaces. The right answer
may be rotated, so check each selection from
all angles to make sure you have the right one.

hint 3

The correct piece has two circles, three
squares, and three Xs. Armed with that
knowledge, all you have to do is make sure that
the piece you select matches the pattern when
rotated into position.

Excellent!

It's really just a matter of finding the right
matching pattern, but staring at all those
different pieces and trying to find one that
fits is more complex than one would think.

hint 1

Three layers here, four layers there...

Label each overlap you discover.

hint 2

Only one area of the image contains the
maximum number of overlaps.

hint 3

There are a total of seven sheets of film in
this picture. The solution for this problem is
a number smaller than seven.

That's right.

This puzzle seems straightforward, but it's
quite formidable when you get right down to it.

hint 1

In order to number six different jerseys, you
will need to select six numbers from 0 through
99.

Maybe the numbers you're looking for are
staring you in the face right now.

hint 2

If you want to cut down on the number of
stencils necessary, you might need to turn
everything you know about numbers
#rupside down#x.

hint 3

When inverted, some numbers appear completely
different. That means you can use one stencil
for two numbers.

Remember that you can use this technique for
both digits.

Sharp thinking!

As illustrated above, either the 6 or 9 stencil
can be flipped to produce another number. This
means you can get the whole job done with
just one stencil.

hint 1

Let's see if we can't pare this puzzle down
a bit.

When you take two years away from the
brother's age and add them to the big
sister's, she becomes twice his age.

Additionally, when you take three years away
from the brother and give them to the sister,
she becomes #rthree times older#x than he is.

hint 2

You could try and solve this with an algebraic
equation, but that's no way to tackle a puzzle!
Try to reason your way through this one.

Move two years from the brother's age, and
the difference in age becomes four years.
Move three years, and the difference widens
to six years.

Four years makes the sister twice as old as
the boy. Six years makes her three times
as old.

hint 3

The brother and sister were born in the
same year.

That's right!

The conditions in the puzzle only work out if
both the brother and sister are currently six.

The two siblings must have been born within a
year of each other.

hint 1

It's difficult to work out all the tangles and
turns of a rope in one glance. You'll have
better luck if you keep the shape of a simple
knot in mind and inspect each part of the rope
individually.

hint 2

Take a look at Rope B. If you start from the
right end of the rope and examine the first
loop you encounter, you'll notice that the
two strands of rope are just lying on top
of each other. The same goes for the loop
on the left side of the rope. There's no way
this rope will knot up.

hint 3

Only one of the four ropes will actually knot
up when pulled from both ends. Rope B is
already out. Now, which one will you choose?

Good job!

The only thing you need to do to solve this
puzzle is look at it. However, the images
themselves are complicated, so it's easy to
get confused.

It would be fun to test all the various
configurations with actual pieces of rope.

hint 1

As mentioned earlier, this digital clock works
on a 12-hour display system. This means
you'll cycle through the numbers twice a day.

Therefore, before you submit your answer, you
need to double the number of times you found
to account for a.m. and p.m.

hint 2

You probably have already picked up on
combinations like 1:11 and 2:22, but finding the
less obvious combinations is what makes up
the real meat of this problem.

Did you, for example, remember to include the
time 1#r0:00#x?

hint 3

1#r2:22#x is another combination that's easy
to overlook.

Also, have you thought about #r11:1#x2? Be sure to
take a look at the various combinations that
follow the above time as well.

Very good!

A series of three or more of the same digit
appears 34 times over the course of 24 hours.
See the chart above for details.

It's easy enough to spot times like 1:11 or 2:22,
but many people forget about combinations like
10:00 or 11:12.

hint 1

You can #ruse a given dot as many times as you
like#x and can #rorient the squares however you
need to#x to fit them on the board.

In other words, you're going to reuse dots,
and you should be on the lookout for a few
diagonally oriented squares.

hint 2

There are three different sizes of squares
that you can make on the board.�@

You shouldn't have much trouble finding the
smallest squares. There are five in total.

hint 3

All four of the medium-sized squares are tilted
45 degrees. Can you see them on the board?

Now that you have the above information, all
that's left for you to do is find the biggest
type of square. When you know how many of
these are on the board, you'll be done!

Nice work!

Did you have a hard time finding the two
biggest squares?

hint 1

Have you thought of turning the sandwich
to get a fresh perspective on the puzzle?
It may sound slightly ridiculous, but if you
do it right, you might be surprised at how
everything comes together.

hint 2

You won't have much success solving this
puzzle if all you are doing is looking at the
image provided.

Try rotating the sandwich 90 degrees to the
left or right.

hint 3

This solution is startlingly simple.

Rotate the sandwich 90 degrees and cut it.
The sections fit together perfectly, like
puzzle pieces.

That's right!

This puzzle is a snap once you see how the
sandwich's protruding edges fit together.

hint 1

You'll have a difficult time calculating the
answer without rearranging things first. Think
about cutting the shape along lines AD and BC.

How can you reform this shape to make things
easier to understand?

hint 2

If you divide the shape along lines AD and BC,
you'll have an easier time reorganizing the
pieces into a basic shape that you're more
familiar with.

hint 3

Once you reassemble the pieces of this
container, you'll be staring at one of the most
basic three-dimensional shapes.

You know the depth of the figure is one foot,
so any calculations you have to do shouldn't
be very difficult.

Good work!

As shown above, the odd shape you were given
can be reconfigured into a cube with a volume
of one cubic foot.

hint 1

Usually one has to stand to reach something
high up and away. But this ingenious loafer has
tools to do that for him.

Don't go looking for the answer in high places.

hint 2

There are several places within the room that
the average person couldn't reach without
getting off the recliner, but our friend here
has no trouble moving books and opening
cupboards from across the room.

Where can't those tools reach?

hint 3

It may seem like Mr. Lazybones has all his bases
covered, but rest assured that there is a
place he can't reach #rwhile sitting down#x.

Ponder this. Can you reach under the bottom
of your feet while standing up?

Well, it's technically possible if you stand on
one foot, but you get the idea.

That's right!

There's no way for him to reach under his
chair without getting off his rear end!

If that fishing rod, extendo-arm, and magnet
combo works as well as it seems to in the
picture, this fellow may never get up again.

hint 1

If you have the patience to experiment with
all seven numbers, you'll run across the
right answer eventually.

On the other hand, not everyone has the
patience to do that, so here's a hint. The
number five goes in the center space.

hint 2

Still having trouble?

All right then, here's a big hint for you.

The sum of each horizontal, vertical, and
diagonal pillar is 15.

hint 3

You know that the number five goes in the
center space. You also know that the sum
of each string of numbers is 15. Fifteen minus
five is 10, so each pair of numbers that
surrounds five should add up to 10. Pair one
with nine, two with eight, and so forth.

Follow this principle as you arrange your
numbers, and the answer is yours.

Excellent!

Any three numbers aligned horizontally,
vertically, or diagonally should add up to 15.

Magic squares have been around for thousands
of years. The earliest record of a magic
square dates back to 650 BC in ancient China.

hint 1

The matches are arranged so that they
appear to form four adjoining cubes.

How can you rearrange things to make one of
these cubes disappear?

hint 2

The four cubes appear to be arranged in two
rows. The first row has one cube, and the
row behind it has three.

You need to get rid of the middle cube in the
back row.

hint 3

All you need to do is reposition one of the
diagonal matches so that it points straight
up and down.

You have quite a few to choose from.

Brilliant!

Moving a single matchstick completely changes
your perspective on the shape. Was it
difficult thinking about things in 3-D?

hint 1

Because you're going to add a match to
the bunch already on the table, it's fair
to say you won't physically be making
the E any smaller.

Since you can't shrink the actual size of the
letter, you'll have to think of another way you
can make it small.

hint 2

Just what does it mean to make the E
small anyhow?

Do you know a smaller E, perhaps?

hint 3

The letter E as it's shown here is an
#ruppercase#x letter. Some people call it
a big E.

Do you know of a #rlittle#x E?

That's right!

A lowercase e certainly is #rsmaller#x.

hint 1

The item you are after is necessary for human
life, is found in most homes, and disappears
gradually over time.

You have to answer with the matches provided,
but don't worry about arranging them into a
picture. It's the idea you're after.

hint 2

The last of the four shapes seems to be
missing a match.

Someone must have made off with it to light
the stove and get dinner ready.

Say, are you getting hungry at all?

hint 3

Have you ever heard the expression "three
square meals a day"?

Judging by the matches here, someone was
trying to make a fourth but got full before
finishing the task.

By the way, have you noticed how much that
final cluster of matches looks like an
uppercase D?

That's right!

The answer is FOOD.

Make sure you visit the grocery store before
you run out of snacks!

hint 1

You're looking for an #routline#x of the
artist's lover.

Yes, you read that correctly. Search for
her silhouette.

hint 2

The black background of the portrait can
be reconfigured to form the silhouette of
a woman.

hint 3

Rearrange the pieces of the painting to form
a silhouette of a woman from the waist up.

That's right!

The silhouette of the artist's true love was
hidden in his painting. The painting must
have been a tribute to his love for her...or
for himself.

hint 1

Move two matchsticks and the name of the
animal staying in the hotel room will appear.

The word is three letters long.

hint 2

The animal staying in room 097 is one you
should be very familiar with. You might even
have one yourself.

hint 3

What animals can you spell with three letters?

Dog? Well, yes, dog has three letters, but it's
not the answer.

Very nice!

Ah, to be a pampered pet.

hint 1

Look at how the red and blue lines cross over
each edge of the tetrahedron. Note that
three lines, one blue and two red, cross
over the edges of the center triangle in
the collapsed tetrahedron.

hint 2

The missing triangle's right side connects with
the top triangle's right side. You can see a
red line and two blue lines here.

hint 3

The bottom side of the missing triangle
connects with the bottom of the leftmost
triangle. Only a single red line passes over
this edge.

Read previous hints and check which lines
cross where. Do that, and the answer is yours.

Excellent!

Three-dimensional visualization is crucial to
solving this puzzle.

hint 1

In the original layout, every match is needed
to form the five squares, so the task of
forming one less square while still using all
of the matches might seem challenging.

However, you can make things easier by
focusing on reducing the number of matches
that serve as a side for multiple squares.

hint 2

The square in the upper-left side of the
arrangement is absent in the solution.

hint 3

The square in the upper-left side of the
arrangement is absent in the solution.

Additionally, the middle square on the bottom
row is also gone from the solution.

Get rid of two squares and make one new
square to find the answer.

Nice!

For as simple as it seems, this puzzle actually
requires a good deal of thought, doesn't it?

hint 1

There's no trick to solving this one. You
just need to try working things out dollar
by dollar. You'll have an easier time of
things if you start from the stamps with
higher values, like $.80 or $.90.

Just remember that each group of stamps
must take a #rdifferent shape#x.

hint 2

Even if you've successfully divided the stamps
into $1.00 groups, the answer won't count
unless each group has a different shape.

Here's one combination to get you started.
The four stamps in the upper-left square
of the sheet should be cut away to form
a group.

hint 3

The $.90 stamp in the sheet forms a group
with the $.10 stamp to its right.

Also, the three $.30 stamps form a group with
the $.10 stamp located between them.

Well done!

There are several ways to divide all the
stamps into $1.00 groups, but this is
the only way where the groups all form
different shapes.

hint 1

There really is no trick at work here. You just
need to find all the triangles you can.

Look carefully so you don't miss any triangles
that are hard to spot.

hint 2

Several triangles can share a single side.

To make matters even more confusing, you
need to look at every side of the big triangle
to find all the triangles. Make sure you don't
accidentally count a single triangle twice
during your search.

hint 3

First, go ahead and count the large triangle
all by itself. Then, add one of the three lines
that splits the big triangle into two. Now
your total has grown to three triangles.

Next, add one more line to your big triangle
and you'll create three new triangles. There
are three combinations of two lines possible.

Good luck finding the rest.

Great job!

You can see the complete list of triangles
above. For such a simple picture, that's a lot
of triangles!

hint 1

Help yourself out by dividing up the flag.

First, split the flag into four equally sized
rectangles by drawing a vertical line and a
horizontal line through the middle of the
flag. This will divide the diamond into
quarters as well.

hint 2

Examine one of the flag's new quarters.

These smaller rectangles can actually be
broken down into fourths again. Be careful
when calculating the length for each side.
Is each small rectangle really 30 by 20 inches?

hint 3

When you divide the small rectangle into
fourths, you will end up including a portion
of the diamond in one of the smallest
rectangles.

What fraction of the rectangle's area does
that slice of the diamond represent?

Figure that out and you're a step away from
the solution.

Nicely done!

The measurements on each area of the
diagram are the key to this puzzle. If you
draw a line or two to supplement the
diagram's information, it's easy to see that
the diamond represents one-eighth of the
flag's area.

hint 1

Use the results of examples 1 and 2 to
simplify the relative weight of the groups of
cats being weighed.

Look closely to find an accurate equivalent.

hint 2

Example 2 shows that two black cats and a
white cat equals three red cats.

Swap out the red cats for the black and white
ones and see what you can figure out now.

hint 3

Example 1 shows you that five black cats
equal the weight of four white cats.

If you substitute the four white cats on the
right side of the scale for black cats, you
end up with six black cats.

Put that together with what you learned
from Hint Two, and you're very close to
the answer.

Excellent!

If you replace the red and white cats with
black ones, this puzzle becomes much simpler.

Once you make the replacement, you'll have
six black cats on the right and six black cats
plus a white one on the left. Thus, the scale
must tip to the left.

hint 1

There are two small areas between the
warehouses where you can stash an additional
two boxes. Use these to your advantage when
shifting boxes back and forth.

hint 2

Find a pattern for sending boxes over and
repeat it until solved. As long as you're
gradually shifting the boxes to the
proper warehouses, you will finish the
puzzle eventually.

Don't be afraid of moving a few boxes back
to the wrong warehouse on occasion.
Sometimes you need to go backward to
go forward.

hint 3

Above all, you must find a method for
moving things around.

This is by no means a difficult problem, but if
you just send over boxes to the opposing
warehouse, you'll block the entrance and get
stuck. Think about how you can avoid
obstructing the warehouses' entrances.

Great job!

Fresh fruit for all!

hint 1

Each side of a box is in direct contact with
four others. Pay attention to how each side
connects to four other sides of the cube and
in what arrangement.

Do this for other sides of the cube and you'll
find an inconsistency that differentiates
the odd cube out.

hint 2

From what you can see in boxes A and C,
you know that the star is connected to the
square, sun, heart, and diamond. It doesn't
touch the X.

According to boxes B and D, the X touches
the sun, heart, square, and diamond.

Hey, wait a second! There's something fishy
about one of those arrangements!

hint 3

Box A is one of the three identical boxes.

The face with the X is directly opposite the
face with the star.

Use these two clues to see if they apply to
boxes B, C, and D. They won't hold true for
one of these boxes.

Good thinking!

If you break down boxes A, B, and C, you can
see that they all share the same arrangement
of decorations.

However, when you break down box D, you can
see that its faces are arranged in a slightly
different manner, and might look something
like the above diagram. However, you can't
know for sure, because the other three faces
of box D are unknown.

hint 1

Some chests may not have the same number
of gems. How many gems do you count in a
single chest?

hint 2

One chest has more gems than the others.

hint 3

Keep an eye on the number of square blue
gems in each box.

Good eye!

This puzzle is all about how keen an eye you
have for details.

hint 1

You can learn a lot by working backward and
making your way through the maze starting
from the goal. See the three doors that
surround the goal? You'll have to open one of
those in the end.

hint 2

The path with the fewest doors will require
the knight to pass through three doors. If
you hit a fourth door before the exit, you
should rethink your strategy.

hint 3

The final door the knight encounters is the
one closest to the goal itself. Try working
your way backward from that door.

Nicely done!

The situation was dicey, but it looks like our
brave knight has triumphed again.

hint 1

Reconstruct the flattened hatboxes in
your mind and you'll immediately see what's
different. Pay special attention to the hat
patterns on each box.

hint 2

Each box has four faces with hats and two
blank faces. If you keep in mind the relative
location of the blank faces, you should
spot the difference before you know it.

hint 3

When reconstructed, only one of the boxes
has two blank faces that touch each other.

Good job!

We all know how important the professor's top
hat is to him.

hint 1

The first thing you should do is determine
what day this exchange is taking place.

The woman says she's turning 22 in two days,
so right now she must be 21.

Hopefully these two points will give you
something to go on.

hint 2

The woman will turn 22 in two days, and her
birthday, like all birthdays, lasts but one day.

She also mentions her age last year. A
year, on the other hand, is a much larger
period of time to deal with.

In order for her statement to be true, her
birthday needs to fall on a particular day.
Think about how the above two facts help
to narrow the possibilities.

hint 3

This conversation took place at the very
end of the year.

If her birthday is in #rtwo days#x, it will
have to be after New Year's Eve.

That's right, it will be a new year by the
#rday after tomorrow#x.

That's right!

Her birthday is January 2nd, and your
conversation with her must have taken place
on December 31st.

As you can see on the chart above, the woman
was 19 on New Year's Day last year, and she
turned 20 the next day. This year, she turned
21, and in two days, after the new year
starts, she'll turn 22.

hint 1

Distances both to and from your destination
were exactly the same. On the way there,
you drove 180 miles, and on the way home,
you drove one way minus 150 miles.

hint 2

Think about the distance your girlfriend
drove. On the way there, she drove one way
minus 180 miles. On the way home, she drove
150 miles.

The total distance each person drove must
include the trip out and the trip back. If you
combine the earlier information about each leg
of the trip, you'll see that your girlfriend
drove a total of "one way minus 30 miles."

hint 3

Using the principle in Hint Two and the
information from Hint One, you can express
the distance you drove as "one way plus
30 miles."

With that said, the difference between the
distance you drove and the distance your
girlfriend drove should be clear as day.

That's right!

As shown in the above chart, your girlfriend
drove a total of one way minus 30 miles. You
drove a total of one way plus 30 miles.
Therefore, you drove 60 more miles.

hint 1

You'll get more out of moving pieces around
than reading hints, but you did spend a
hard-earned hint coin, so here's a small clue.

Start by arranging pieces to form the outer
edges of the silhouette.

hint 2

Putting together the outside of the vase
should be pretty straightforward.

Therefore, the extra piece must look like a
piece that goes in the center of the vase.

hint 3

If you've completed the entire outline of the
vase, you'll only have two parts left over.

Try both of them out and see which one fits.

Good job!

Repairing the vase wasn't much of a challenge,
was it? Oh, if only fixing things in real life
were this simple.

hint 1

No matter how you arrange the coins on the
screen, you won't be able to cover the
tower completely.

Why not try covering something else with
the coins?

hint 2

Placing the coins on any part of the tower
itself is futile.

The tower has to disappear completely, but
from where does it have to disappear?

hint 3

To disappear is to vanish from sight, right?

How can you stop someone from seeing?

Nice job!

If you cover your eyes with the two coins, any
object will disappear...from your field of
vision, that is.

hint 1

As mentioned earlier, the numbers are lined
up according to some rule or idea.

Continuing the string out to the left, the
number that would go in front of the first
number is zero.

The number that comes after the final three
is one.

hint 2

If you were to break up the string of numbers,
the first group is "1231."

Does this group make you think of anything?
Anything at all?

hint 3

If you need another hint, look no further than
your closest calendar.

You should find numbers lined up in a similar
fashion within its pages.

Very good!

The string of numbers represents the dates
from the end of one year to the beginning of
the next!

hint 1

Each picture should be composed of lines
that meet at different points.

With these pictures, if you find a single line
that runs out beyond the others, you know
you have to start your drawing there.

Try tracing the answer out yourself.

hint 2

Some points may be the convergence point
for several lines. You need to think hard
about which line to take in and out of the
point in order to make the sketches work.

If your pen is entering a point formed by
an even number of lines, you will always be able
to leave the point via another line.

hint 3

Using Hints One and Two, it's actually quite
easy to draw these shapes out yourself.

Make sure that you start drawing the shape
from a point that touches an odd number of
lines. Don't forget, one is also an odd number.

Nicely done!

When examining a picture like this, the key to
spotting a fake is looking at the areas where
multiple lines intersect. When looking at these
areas, take note of whether the number of
lines running through a given point are odd
or even.

If all intersections contain an even number of
lines, or if there are two intersections that
contain an odd number of lines, you should be
able to draw the picture in one line.

hint 1

First, don't be thrown off by the shape
of the plot's right side. The total length of
the right side is five feet.

Now focus your attention on that three-foot
measurement. It plays a pivotal role in helping
you solve the puzzle.

hint 2

Try drawing a line straight down from the
upper-right corner of the plot. This will divide
the area marked three feet into two sections.

The two parts you just created with your line
may not be labeled, but you might be able to
find equivalent lengths somewhere else on the
perimeter of the shape.

hint 3

If you look around the shape, you can find two
other lengths equal to both parts of the
three-foot edge you divided with your line in
Hint Two.

If those two parts total three feet and you
know there are two more segments identical
to those two, then the total of all the edges
with unknown lengths should be...

Excellent!

If you draw a line like the dotted yellow one
shown above, you can see that the right side
is five feet. Therefore, red lines X, Y, and Z
must add up to a length of five feet.

Next, you have two horizontal segments to deal
with, A and B. Since A plus B equals three feet,
and you have two sets of A and B, you have a
total of six feet. Add everything up and you
have a perimeter of 26 feet.

hint 1

This puzzle is difficult, but as long as you
aren't repeating the same moves over and
over, you'll eventually extricate the red block.

Now stop depending on hints and go try it
for yourself.

hint 2

This puzzle takes at least 81 moves to solve.
There aren't really any good hints to give, but
here's a little trick that might help you.

There are two open spaces in the box. As you
slide pieces around, make sure you don't
separate one open space from the other.

hint 3

As stated in Hint One, you're just going to
have to work this puzzle out yourself.

However, it seems wrong to give you nothing
for that hint coin you spent, so here's a
factoid about the puzzle you're solving.
In Japan, these types of puzzles have been
around for hundreds of years.

Wonderful!

This is a classic example of a slide puzzle.

hint 1

A key phrase that you should keep in mind as
you solve this puzzle is "sum total."

hint 2

Your average die is labeled with the numbers
one through six. What number would you get if
you added them all up?

hint 3

Fun fact time!

Did you know that opposing faces of dice
always add up to seven?

Excellent!

The answer is 17.

The boy is counting the number of dots
currently visible on the die. The only face of
the die not included in this count is the one
that faces down.

The top and bottom sides of a die always
add up to seven, so it's easy to calculate
the total for the five faces exposed on any
given roll.

hint 1

Rope off the mother hen in the upper-left
corner so that she stays with the two
chicks directly above and below her.

hint 2

The hen in the lower-right corner should be
grouped with the two chicks to her right.

hint 3

All right, here's one last hint. The mother hen
in the lower-left corner goes with the chicks
located to the left and upper right of her.

Nicely done!

Now those are some happy chickens!

hint 1

None of the wires should run off the sides
of the panels, save for the areas where they
connect to the lightbulb and battery.

hint 2

There are a few wires running through the
panels that don't connect to the lightbulb
or the battery.

hint 3

Since you know that none of the wires run
off the sides of the panels, you should
already be able to pick out the four corner
panels and the two to the right and left
of the center panel, right?

Oh, good!

This room could use some light!

hint 1

It's rather surprising that your girlfriend
would leave you a message via chocolate.
It's usually more her style to contact you
via digital means.

hint 2

As a self-professed gadget fiend, on more
than one occasion she has suffered from the
uniquely modern condition of "texting thumb."

hint 3

If you're still stuck, just look at your closest
keyboard for a hint.

Excellent!

Your girlfriend's message is "TEXT ME."

The bites taken out of the chocolate show
you how each letter written on the chocolate
relates to letters on a keyboard.

hint 1

That's right, it's time for another good, old-
fashioned pitcher puzzle. This time around,
the shortest solution requires 15 moves.

As always, don't try shifting the liquid back
and forth aimlessly. One tip that can make this
process easier is to focus on the discrepancy
between how much each pitcher can hold.

Other than that, just do what you've been
doing all along on these puzzles, and you'll
come out on top.

hint 2

After you move a larger pitcher filled with
water to a smaller pitcher, some water will
remain in the larger pitcher. Pay attention
to this leftover amount.

Think about how you can use this leftover
water in your pours to reach an answer.

hint 3

16
10

9
6

Once you've made it this far, you're only
four more moves away from the solution.

Wonderful!

If you shift the water back and forth long
enough, you'll eventually end up with eight
gallons in each pitcher. The shortest possible
solution requires 15 moves.

hint 1

You might think you'll get stuck within moments
of starting this puzzle, but as long as you
aren't repeating the same moves over and
over, you'll get that block out eventually.

Sliding puzzles like these don't lend themselves
well to hints. So here's one more hint: don't
bother purchasing Hints Two and Three for
this puzzle.

hint 2

Since you decided to spend a hint coin anyway,
here's a small tip that might help you out.

Try to move the long purple blocks out of the
way by getting them to the upper-right or
lower-left corners of the box.

Once you've done that, the long blue blocks will
be easier to handle.

hint 3

Move one of the blue blocks out to the right
of the big red block. Once you've done this,
your next goal should be to maneuver both
blue blocks so that they are at the very top
or bottom of the box.

That should clear things up a bit.

Wonderful!

This is a classic example of a sliding puzzle.

hint 1

You might think you'll get stuck within moments
of starting this puzzle, but as long as you
aren't repeating the same moves over and
over, you'll get that block out eventually.

hint 2

This trick should give you some wiggle room.

Try to move the blue blocks so that
both of them are directly above or
below the red block.

As a matter of fact, hold off on thinking
about how to move the red block to the exit
until you finish this step.

hint 3

Here's one more trick that should help you
move those blocks around.

While sliding blocks around, see if you can't
move two green blocks to the immediate right
of the red block. Then move the purple block
to the right of those.

Wonderful!

This is a classic example of a sliding puzzle.

hint 1

There are 51 numbers you can choose from,
but since you're trying to get the largest
total possible, you might want to try the
bigger numbers first.

hint 2

As stated in Hint One, you should place large
numbers in your square.

Use the numbers 43 through 51 when
formulating your answer.

hint 3

It might not seem obvious at first, but the
center number is used in every single
tabulation. Since you're trying to get the
largest sums possible, doesn't it make sense
to put the largest number right in the middle?

Great job!

To get the largest total possible from any
three vertical, horizontal, or diagonal numbers,
you should place the largest number available
in the middle square.

Once you've decided on that as your middle
number, all you need to do is test whether you
can complete the square.

The full solution should look something like
the diagram above.

hint 1

As you know, all cubes have six sides.
Because of this structure, every face of
the cube touches four others, meaning that
only one of the five other faces doesn't
touch any given face.

hint 2

Taking Hint One a step further, in order to
paint the cube three colors and have no two
connecting faces be of the same color, you
should use each color to paint opposing faces.

hint 3

You need to paint two opposing faces of the
cube each color. Count how many different
ways there are of doing that and you've
solved the puzzle.

Just remember, simply reconfiguring which
colors go where doesn't count as an entirely
new arrangement.

If you have to paint the cube with three
colors, then your only choice is to paint
opposing sides of the cube the same color.

As seen in the diagram above, even if you were
to change where you used each color, rotating
the cube proves that you're really just
reusing the same idea of painting opposing
sides the same color.

There's only one unique way to color this cube
using three paints.

hint 1

The bell will ring 12 times, and there are five
seconds between each sounding of the bell.

It sure sounds simple, but there's at least
one step everyone overlooks at first.

Think about what needs to happen in order
for you to realize it's 12 o'clock.

hint 2

This is a hint 146_2.

hint 3

This is a hint 146_3.

Many people's first instinct is to multiply five
seconds by 12 rings of the bell, thus coming
up with an answer of 60 seconds. The thing is,
you'll know it's 12 o'clock the moment you hear
the bell ring out for the twelfth time. This
means you're only really waiting for the
bell to ring 11 times.

Eleven rings times five seconds per ring equals
55 seconds. This is how long it takes for you
to know the time.

hint 1

Remember that the race is 100 yards there
and back. It's a very important fact, and once
you realize its significance, the puzzle is
a snap.

hint 2

This is a hint 147_2.

hint 3

This is a hint 147_3.

The speed of the two animals is equal, but the
lion reaches the exact halfway point of the
race in 50 jumps. The cheetah's final jump, on
the other hand, goes two yards over the
halfway point. This means that when the
cheetah turns around to finish the second leg
of the race, it will have to run 102 yards
instead of 100 yards. This cheetah will run a
total of four yards more than necessary.

As strange as it may seem, this race goes
to the lion.

hint 1

The contents and labels consist of three
variations, RR, LL, and RL. You have a very
narrow range of options to choose from.
Imagine the possible contents for each box
and think about which one you should open.

hint 2

Since every box is labeled incorrectly, no box
will give you the contents its label promises.
For example, the only shoes you could expect
to find in the RR box are RL or LL.

hint 3

Ultimately RR and LL are the same choice and
tell you the same things about what's in the
other boxes.

That's right.

The key here is that each box is mislabeled. For
example, if you open the box marked RL and
find two right shoes inside, you know that box
is actually the RR box. Furthermore, the box
marked LL can't contain LL because all boxes
are mislabeled, nor can it be the already open
RR box. Therefore, it must be the RL box.

Now the final box's contents should be obvious.
Even if you find two left shoes instead of
right shoes in the RL box, the process for
solving this problem doesn't change.

hint 1

The river moves at the same speed for all
objects floating upon it and affects both the
hat and the gondola in the exact same way.

hint 2

This is a hint 149_2.

hint 3

This is a hint 149_3.

The hat will be recovered at 12:10.

Since both the hat and gondola are moving
the same way on the same river, the river flow
effects both items the same way, effectively
allowing the gondola to travel the same speed
as if it were in still water.

The gondola traveled 100 feet from the hat
before turning back to retrieve it. This means
the boat traveled 200 feet before picking up
the fallen hat. Since the boat moves at a
speed of 20 feet per minute, the total time
needed is 10 minutes.

hint 1

Each student bows to the teacher and every
other student.

Including the teacher and the students, there
are a total of 21 people on campus. You may
think that information is enough to go on, but
make sure you've read the puzzle over
carefully before you answer.

hint 2

This is a hint 150_2.

hint 3

This is a hint 150_3.

All the students in school have to bow, but
the teacher doesn't. If you remember that,
you get the following results:

The boys bow to each other 90 times.

The girls bow to each other 90 times.

The girls bow to the boys and the boys
bow to the girls a total of 200 times.

Lastly, the children bow to the teacher
20 times.

This totals out to 400 bows.

hint 1

How many red cards and black cards are
there in a deck of 52 cards?

hint 2

There are a total of 26 black cards and 26
red cards in a 52-card deck.

hint 3

The number of red cards in pile A is equal to
26 minus the number of black cards in pile A.

You can also reverse this statement and apply
it to the black cards, so...

You can expect a corresponding number of red
and black cards to show up between the piles
1,000 times out of 1,000 tries.

There are 26 cards of each color in a 52-card
deck. If you form two piles of 26 randomly
selected cards from this deck, the number of
red cards in pile A is equal to 26 cards minus
the number of black cards in pile A. In pile B,
the situation is reversed. No matter how the
cards are divided, the number of red cards in
pile A will be equal to the number of black
cards in pile B, and vice versa.

hint 1

Think about a corner of a cube and how many
lines meet at that point.

hint 2

Three lines meet at each corner on a cube.

Imagine a corner where a single wire forms two
of the three lines. The final line in this corner
must come from the end of a different wire.

Therefore, in every corner, at least one
of the three lines comes from the end of
a wire.

hint 3

There are eight corners to a cube. As
discussed earlier, every corner in a cube
requires at least one end of a wire.

Each wire has two ends, right?

You need four wires to make the cube.

Three straight lines make up each of the
cube's eight corners. At least one wire must
terminate at each corner. Since there are
eight corners, you'll need eight wire ends to
form things properly. Each wire has two ends,
so the total number of wires needed is four.

hint 1

Think about how each item is different, and
then think about how that could relate to
the inscription.

hint 2

Say each item out loud.

hint 3

The pen is mightier than the sword. Perhaps if
you wrote each item down on a piece of paper...

Brilliant!

The answer is "Knight" because it's the only
item to contain three silent letters.

That thief's on easy street now!

hint 1

The whole planet is covered with Octopleans,
but adding their numbers up won't get you the
answer you're after.

Perhaps you jumped to conclusions when
considering answers for this puzzle.

hint 2

This is a hint 154_2.

hint 3

This is a hint 154_3.

Right! The answer is, there's one alien,
the explorer.

From the Octopleans' point of view, this
strange visitor from another planet is as
alien as they come.

hint 1

In slide puzzles such as this one, if you move
things around without a clear idea of what
you'll move next, you'll end up back where you
started before you know it.

Move the pieces so that you are constantly
forming new configurations for the pieces.

hint 2

To complete this puzzle, you'll need to utilize
the space in the corridor connecting the two
columns of balls.

For example, you could try moving the red
ball that's third from the top into the small
pocket above the middle square of the
corridor. Then move two blue balls all the
way over so that one occupies the space
the red ball formerly sat in. Move the red
ball out of the corridor into the blue balls'
column in the spot second from the top.

hint 3

While it may seem counterintuitive, you
need to move some balls back out of
the correct field to solve this puzzle.

As detailed in Hint One, move two balls to the
opposite side, move the ball hidden in the small
central pocket over to the space created,
then move two balls over the other way.
Repeat, and see what develops.

Good job.

This puzzle can be completed in 30 moves.
Does that make you want to retry it?

hint 1

You too may have bested this foe in battle.

Your answer should be eight letters long.

hint 2

This is a hint 156_2.

hint 3

This is a hint 156_3.

This bloodthirsty beast is none other than the
dreaded mosquito.

Squish one of these little guys while it's on
your arm, and you'll have your blood all over
before you know it. Truly a fearsome, if
somewhat annoying, opponent.

hint 1

Focus on the old man's speech bubble. The
letters H through O are lined up in a row.

Your answer should be five letters long.

hint 2

This is a hint 157_2.

hint 3

This is a hint 157_3.

The answer is "water."

The puzzle shows the letters H through O
listed in a row. You can also read this line of
letters as H to O. Change the spelling of "to"
and you have H2O, the chemical formula
for water.

hint 1

It won't take even an hour for the horses
to line up nose to nose once more.

All the horses' noses have to be lined up
along the same straight line, but nowhere
does it say that the horses must face the
same direction.

hint 2

This is a hint 158_2.

hint 3

This is a hint 158_3.

The horses will line up nose to nose 30 minutes
after they begin running.

Despite the fact that two horses will be on
the far side of the track, the four horses
will still be lined up nose to nose.

hint 1

Sure, the puzzle looks a little daunting at
first, but take heart. If you use the five open
spaces in the box, you can solve the puzzle.

Think about how to move things around so
that you create some wiggle room for the
bigger blocks.

hint 2

The solution requires that you move that big
yellow block into the upper-right portion of
the screen. Here's what you can do to start
making room for that move to take place.

Move the blue block at the bottom over
to the right and slide the purple block into
the space that has a hole. From here,
if you move the blue block at the bottom
so that it sits directly beneath the yellow
block, you'll free up a space on the right
that you can work with.

hint 3

This hint starts from where Hint Two left off.
Move the purple block into the lower-right
space and then bring down the green block
above it. Next, move the purple block in the
upper right as far to the right as you can and
move the blue block in the upper left to the
far left. Now you should be able to move that
big yellow block up and to the right. With that
block out of the way, the rest should be easy.

Fantastic!

Easier than it looks, isn't it?

If you haven't done it yet, why not try to
complete the puzzle in the minimum number
of moves possible?

hint 1

There are five empty spaces to work with
here, but when you start, you have some
bothersome long blocks in the way.

To remedy this, first you should move the
lower-right blue block and slide the purple
block formerly to the left of it down into the
space with the hole.

Now you should be able to move the big
yellow block down.

hint 2

Move the purple block in the top row
down into the space you created from
moving down the yellow block, then
line the two blue blocks up end to end
in the row directly under the red ball.

Next, slide the purple block below the
two blue blocks over to the far left so
that the green block in the lower left
and the big yellow block can move
back up.

hint 3

Align the two blue blocks in the lower right
so that they sit end to end on the far-left
side of the row directly above the hole. Then
drop the green block in the upper right down.
Now all you need to do is create a path for
the ball to use to get to the hole.

You should have an easy time of it.

Excellent!

In addition to having that bothersome yellow
block in the way, those purple and blue blocks
proved to be quite a pain, didn't they?

It may have been frustrating to solve, but
don't you feel good now? What a relief!

hint 1

You need to make the balls change positions
with each other, but the actual act of guiding
individual balls to the right hole shouldn't
prove too challenging.

Make your moves carefully and keep track of
what you're doing. This problem requires you
to shift things about a great deal, so just be
warned that hints alone won't get you through
this one.

hint 2

The shortest solution for this problem
involves less than 30 moves, but in order
to solve it that quickly, you need to manage
the movement of multiple balls at once.

If you're having trouble, swallow your pride
and try the easier solution where you only
need to guide one ball at a time.

hint 3

For puzzles like this, your best bet is to clump
as many of the open spaces together as
possible to give the ball you're guiding a
larger space to move about.

Just don't get too obsessed with consolidating
space or you might actually make things harder
on yourself.

Excellent!

This puzzle requires 28 moves to solve.
Solving it shouldn't be all that difficult if you
stay focused and avoid getting confused.

hint 1

There are places on the floor that the
cylinder can't reach no matter how it's
turned or tilted. Where do you think
they could be?

Pay special attention to the fact that
there were four eggs.

hint 2

This is a hint 162_2.

hint 3

This is a hint 162_3.