-
By moving one of the following digits,
make the equation correct. 62 - 63 = 1
ANSWER: »
26 - 63 = 1
(26 = 2x2x2x2x2x2 = 64, ∴ 64 - 63 = 1)
-
You have a fox, a chicken and a sack of
grain. You must cross a river with only one of them at a
time. If you leave the fox with the chicken he will eat it;
if you leave the chicken with the grain he will eat it. How
can you get all three across safely?
ANSWER: »
Take the chicken over first. Go back
and bring the grain next, but instead of leaving the
chicken with the grain, come back with the chicken.
Leave the chicken on the first side and take the fox
with you. Leave it on the other side with the grain.
Finally, go back over and get the chicken and bring it
over.
-
You have 12 black socks and 12 white
socks mixed up in a drawer. You're up very early and it's
too dark to tell them apart. What's the smallest number of
socks you need to take out (blindly) to be sure of having a
matching pair?
ANSWER: »
3 socks. If the first sock is black,
the second one could be black, in which case you have a
matching pair. If the second sock is white, the third
sock will be either black and match the first sock, or
white and match the second sock.
-
What is special about the following
sequence of numbers?
8 5 4 9 1 7 6 10 3 2 0
ANSWER: »
The numbers are in alphabetical order.
(eight, five, four, nine, one, seven, six, ten, three,
two, zero)
-
Three travelers register at a hotel and
are told that their rooms will cost $10 each so they pay
$30. Later the clerk realizes that he made a mistake and
should have only charged them $25. He gives a bellboy $5 to
return to them but the bellboy is dishonest and gives them
each only $1, keeping $2 for himself. So the men actually
spent $27 and the bellboy kept $2. What happened to the
other dollar of the original $30?
ANSWER: »
There is no missing dollar from the
original $30 because after getting $1 back, the three
travelers had paid a total of $27 for their room ($9
each), not $30. Out of that $27, the hotel has $25 and
the clerk kept the remaining $2. If you still want to
work from the original $30, the travelers have $3, the
hotel has $25 and the bellboy has $2. The misleading
part is adding the bellboy's $2 to the $27, when in fact
it should be subtracted.
-
You are the bus driver. At your first
stop, you pick up 29 people. On your second stop, 18 of
those 29 people get off, and at the same time 10 new
passengers arrive. At your next stop, 3 of those 10
passengers get off, and 13 new passengers come on. On your
fourth stop 4 of the remaining 10 passengers get off, 6 of
those new 13 passengers get off as well, then 17 new
passengers get on. What is the color of the bus driver's
eyes?
ANSWER: »
The eye color of the reader of this
problem. The first sentence is the key: "You are the bus
driver"
-
A rooster lays an egg at the very top
of a slanted roof. Which side is the egg going to roll off
on?
ANSWER: »
Neither, roosters don't lay eggs.
-
U2 has a concert that starts in 17
minutes and they must all cross a bridge to get there. All
four men begin on the same side of the bridge. You must help
them across to the other side. It is night. There is one
flashlight. A maximum of two people can cross at one time.
Any party who crosses, either 1 or 2 people, must have the
flashlight with them.
The flashlight must be walked back and forth. It cannot be
thrown and other tricks like that are not needed to solve
the problem. The solution is simply a matter of allocating
resources in a certain order. Each band member walks at a
different speed. A pair must walk together at the rate of
the slower man's pace:
Bono: 1 minute to cross
Edge: 2 minutes to cross
Adam: 5 minutes to cross
Larry: 10 minutes to cross
For example: if Bono and Larry walk across first, 10 minutes
have elapsed when they get to the other side of the bridge.
If Larry then returns with the flashlight, a total of 20
minutes have passed and you have failed the mission.
ANSWER: »
You get to figure this one out on your
own. If you're having a hard time, here's a hint: There
is a valid answer that doesn't require tricks like
throwing the flashlight or shining it backwards or
having some other means of moving the flashlight.
There's an assumption people often make that keeps you
from solving this. Two members cross the bridge each
time, but neither one of the two the crossed need to
return. Think about how that would be possible. If
you're still stuck, use objects to simulate their
movement. Use whatever you have laying around - pens,
paper, erasers - and move them back and forth. Good
luck!
-
Why is it very common to have a 9
minute snooze interval on alarm clocks, why not 10 instead?
ANSWER: »
By setting the snooze time to 9
minutes, the alarm clock only needs to watch the last
digit of the time. So, if you hit snooze at 6.45, the
alarm goes off again when the last digit equals 4. They
couldn't make it 10 minutes, otherwise the alarm would
go off right away, or it would take more circuitry.
-
A bookworm eats from the first page of
an encyclopedia to the last page in a straight line. The
encyclopedia consists of ten 1000-page volumes and is
sitting on a bookshelf in the usual order. Not counting
covers, title pages, etc., how many pages does the bookworm
eat through?
ANSWER: »
__ __
B| | | |F
A|1 |...........................|10|R
C| | | |O
K| | | |N
|__| |__|T
----------------------------------
On a book shelf the first page of the
first volume is on the "inside", so the bookworm eats
only through the cover of the first volume, then 8 times
1000 pages of Volumes 2 - 9, then through the cover to
the 1st page of Vol 10 for a total of 8,000 pages.
Note: The question asks how many pages, not how many
sheets of paper.
-
An Arab sheikh tells his two sons to
race their camels to a distant city to see who will inherit
his fortune. The one whose camel is slower will win. The
brothers, after wandering aimlessly for days, ask a wise man
for advise. After hearing the advice they jump on the camels
and race as fast as they can to the city. What does the wise
man say?
ANSWER: »
The wiseman tells them to switch
camels.
-
An 18-wheeler is crossing a 4 kilometer
bridge that can only support 10,000 kilograms and that's
exactly how much the rig weighs. Halfway across the bridge a
30 gram sparrow lands on the cab, but the bridge doesn't
collapse. Why not?
ANSWER: »
Since the bridge is 4 kilometers long,
the halfway point would be 2 kilometers. The 18-wheeler
would have used much more than 30g of fuel to drive 2
kilometers.
-
A completely black dog was strolling
down Main street during a total blackout affecting the
entire town. Not a single streetlight had been on for hours.
As the dog crosses the center of the road a Buick Skylark
with 2 broken headlights speeds towards it, but manages to
swerve out of the way just in time. How could the driver see
the dog to swerve in time?
ANSWER: »
It was during the day
-
In a small cabin in the woods, two men
lay dead. The cabin itself is not burned, but the forest all
around is burned to cinders. How did the men die?
ANSWER: »
It's the cabin of a plane and the
plane crashed.
-
Ida puts her coffee into the microwave,
as she does every morning, for exactly 2 minutes. When the
microwave goes off, she opens the door, but then closes the
door again and sets the microwave for 2 more seconds. What
good would 2 more seconds be?
ANSWER: »
To rotate the handle on the mug so she
can comfortably remove it.
-
Beulah died in the Appalachians while
Craig died at sea. Everyone was much happier with Craig's
death. Why?
ANSWER: »
Beulah and Craig were hurricanes.
-
You are a cook in a remote area with no
clocks or other way of keeping time other than a four-minute
and a seven-minute hourglass. On the stove is a pot of
boiling water. Jill asks you to cook a nine-minute egg in
exactly 9 minutes, and you know she is a perfectionist and
can tell if you undercook or overcook the egg by even a few
seconds. How can you cook the egg for exactly 9 minutes?
ANSWER: »
1. Flip both hourglasses over and drop
the egg into the water.
2. When the 4-minute timer runs out, flip it over (4
minutes elapsed, 3 remaining on the 7-minute timer).
3. When the 7-minute timer runs out, flip it over. (7
minutes elapsed, 1 remaining in the 4-minute timer)
4. When the 4-minute timer runs out, flip the 7-minute
timer over. (8 minutes elapsed. 6 minutes remained in
the 7-minute timer, but flipping it over leaves one
minute's worth of sand on top. When it runs out exactly
nine minutes will have elapsed.
-
I am the owner of a pet store. If I put
in one canary per cage, I have one bird too many. If I put
in two canaries per cage, I have one cage too many. How many
cages and canaries do I have?
ANSWER: »
-
Here is a series of numbers. What is
the next number in the sequence?
1
11
21
1211
111221
312211
13112221
ANSWER: »
The next number in the sequence is
1113213211, because the rule for creating the next
number is to simply describe the previous number. The
first number is 1, or 1 (one) 1, so you get 11. To
describe 11, you have two 1's, or 21. Now you have one 2
and one 1, so the next number is 1211. The solution is
to simply continue describing the previous number using
only numbers.
-
My daughter has as many sisters as she
has brothers. Each of her brothers has twice as many sisters
as brothers. How many sons and daughters do I have?
ANSWER: »
Four daughters and three sons. Each
daughter has 3 sisters and 3 brothers, and each brother
has 2 brothers and 4 sisters.
To figure it out mathematically, you could use the
following two equations where G = the number of girls
and B = the number of boys:
G - 1 = B
2(B - 1) = G
Solving for G gives you 4 and plugging that in to G - 1
= B gives you a B of 3.
-
What seven-letter word has hundreds of
letters in it?
ANSWER: »
Mailbox
-
If you had a ton of feathers and a ton
of stones which would be heavier?
ANSWER: »
Neither. They both weigh a ton.
-
Tom's mother has three children. One is
named April, one is named May. What is the third one named?
ANSWER: »
Tom
-
Two women apply for a job. They are
identical and have the same mother, father and birthday. The
interviewer asks, "Are you twins?" to which they honestly
reply, "No".
How is this possible?
ANSWER: »
They are triplets.
-
You are standing outside a closed door.
On the other side of the door is a room that has three light
bulbs in it. The room is completely sealed off from the
outside. It has no windows and nothing can get in or out
except through the door. On the outside of the room there
are three light switches that control each of the respective
light bulbs on the other side of the door.
Your assignment is to determine which light switch controls
which light bulb. You are allowed to enter the room only
once, and once you come out, you must be able to state with
100% certainty which light switch controls which light bulb.
ANSWER: »
Turn one light switch on, wait a few
minutes, then turn it off and turn another light switch
on. Go into the room and feel the light bulbs. The one
that's still warm is connected to the switch that you
first turned on, the one that is on was the second
switch you turned on, and the last bulb is controlled by
the switch that you didn't touch.
-
If a bottle and a cork cost a dollar
and a nickel, and the bottle costs a dollar more than the
cork, how much does the cork cost?
ANSWER: »
Most people guess 5¢, but $1 more than
5¢ is $1.05, and if the bottle cost $1.05, the bottle
and the cork would be $1.10, not $1.05. The cork
actually costs 2½¢ and the bottle costs a dollar more,
or $1 and 2½¢, making the total $1.05.
-
A boat has a ladder that has six rungs.
Each rung is one foot apart. The bottom rung is one foot
from the water. The tide rises at 12 inches every 15
minutes. High tide peaks in one hour.
When the tide is at its highest, how many rungs are under
water?
ANSWER: »
None. The boat is floating on the
water, so as the tide rises, so does the ladder.
-
You have a lighter and two fuses that
take exactly one hour to burn, but they don't burn at a
steady rate. For example, one fuse could take 59 minutes to
burn the first inch and then burn the rest of the fuse in
the last minute.
How would you use these two fuses to measure 45 minutes?
ANSWER: »
Light the first fuse on both ends and
the second fuse at only one end. When the first fuse
burns out you know 30 minutes have passed. Light the
other end of the second fuse and when it burns out, 45
minutes have passed.
-
You have two buckets - one holds
exactly 5 gallons and the other 3 gallons. How can you
measure 4 gallons of water into the 5 gallon bucket?
(Assume you have an unlimited supply of water and that there
are no measurement markings of any kind on the buckets.)
ANSWER: »
- Fill the 3-gallon bucket.
- Pour the 3 gallons of water
into the 5-gallon bucket
- Fill the 3-gallon bucket
again.
- Fill up the 5-gallon bucket
with the 3-gallon bucket, leaving you with 1 gallon
left in the 3-gallon bucket.
- Empty out the 5-gallon bucket.
- Pour the remaining 1 gallon of
water from the 3-gallon bucket into the 5-gallon
bucket.
- Fill the 3-gallon bucket.
- Pour the 3 gallons of water
from the 3-gallon bucket into the 5-gallon bucket
leaving you with 4 gallons of water in the 5-gallon
bucket.
Alternate solution:
- Fill up the 5 gallon bucket
- Pour it into 3 gallon bucket,
leaving 2 gallons
- Empty out the 3 gallon bucket
- Pour the 2 gallons in the 5
gallon bucket into the 3 gallon bucket
- Fill up the 5 gallon bucket
and pour it into the 3 gallon bucket until it's
full, leaving 4 gallons in the 5 gallon bucket.
-
A princess is as old as the prince will
be when the princess is twice the age that the prince was
when the princess's age was half the sum of their present
ages.
What are their ages?
ANSWER: »
This one took a while, but I figured
it out. You can find the answer
here.
-
During WWII, there was a bridge
connecting Germany and Switzerland, and on the German side,
there was a sentry tower with a guard in it. He would come
out every three minutes to check on the bridge, and he had
orders to turn back anyone who tried to get into Germany,
and shoot anyone trying to escape without a pass. There was
a woman who desperately needed to get into Switzerland, and
she knew she didn't have time to get a pass. It would take
her at least six minutes to cross the bridge, but she
managed to do it. How?
ANSWER: »
She walked on the bridge towards
Switzerland for 3 minutes and just as the guard was
about to come out, she turned around walking back to
Germany. The guard saw her and asked for her pass but
she didn't have one and was sent back (or what the guard
thought was back) to Switzerland. In her case it was the
very country she wanted to go to.
-
A man can make perfect counterfeit
bills. They look exactly like real ones, they're made of
exactly the same materials, made the same way, everything.
So perfect, one could pretty much call them real bills. One
day he successfully makes a perfect copy of another bill.
However, he gets caught when he tries to use the copy. How
is this possible?
ANSWER: »
He made a perfect copy of a
counterfeit bill.
-
A prisoner is told "If you tell a lie
we will hang you; if you tell the truth we will shoot you."
What can he say to save himself?
ANSWER: »
You will hang me. If they hang him,
then the statement was true and they could only hang him
for telling a lie. If they shoot him, then it makes the
statement a lie and they were only to shoot him for
telling the truth. An alternate solution is to say, "You
will not shoot me," leading to the same quandary for the
killers.
-
How many people can read hex if only
you and dead people can read hex?
ANSWER: »
The trick is that the word dead
represents a number in hexadecimal. That number in base
10, plus one to include yourself, is: 57005 + 1 = 57006.
-
A man is traveling with a fox and two
chickens, if he leaves the fox alone with the chickens the
fox will eat the chickens. He comes to a river and needs to
cross it, he finds a small boat that can carry only him and
one animal, how does he get himself, the fox and two
chickens across the river safely?
ANSWER: »
Take the fox over, return with
nothing. Go over with one chicken, return with the fox.
Go over with the second chicken, return with nothing.
Finally, take the fox over.
-
A man is looking at a picture of a man
on the wall and states: Brothers and sisters I have none,
but this man's father is my father's son. Who is the man in
the picture in relation to the man looking at the picture?
ANSWER: »
The man in the picture is his son.
Since he doesn't have any brothers or sisters, the
statement my father's son is himself. A shortened
version would be this man's father is myself, so he is
the father of the man in the picture.
-
A man and his son had a terrible car
accident and were rushed to the hospital. The man died on
the way, but the son was still barely alive. When they
arrived, an old gray surgeon was called in to operate. Upon
seeing the young boy, the surgeon said, "I can't operate -
this is my son."
How is this possible?
ANSWER: »
The surgeon was his mother.
-
A wise king devised a contest to see
who would receive the Princess' hand in marriage. The
Princess was put in a 50 x 50 foot carpeted room. Each of
her four suitors were put in one corner of the room with a
small box to stand on. The first one to touch the Princess'
hand would be the winner and become the new King.
The rules were the contestants could not walk over the
carpet, cross the plane of the carpet, or hang from
anything; nor could they use anything but their body and
wits (i.e. no magic, telepathy, nor any items such as
ladders, block and tackles etc). One suitor figured out a
way and married the Princess and became the new King. What
did he do?
ANSWER: »
Asked the princess to touch his hand.
-
Two guards were on duty outside a
barracks. One faced up the road to watch for anyone
approaching from the North. The other looked down the road
to see if anyone approached from the South. Suddenly one of
them said to the other, "Why are you smiling?"
How did he know his companion was smiling?
ANSWER: »
They were facing each other. As to why
his companion was smiling, the world may never know.
-
You're riding a horse. To the right of
you is a cliff and in front of you is an elephant moving at
the same pace and you can't overtake it. To the left of you
is a hippo running at the same speed and a lion is chasing
you. How do you get to safety?
ANSWER: »
Get off the merry-go-round.
-
You have 50 quarters on the table in
front of you. You are blindfolded and cannot discern whether
a coin is heads up or tails up by feeling it. You are told
that x coins are heads up, where 0 < x < 50. You are asked
to separate the coins into two piles in such a way that the
number of heads up coins in both piles is the same at the
end. You may flip any coin over as many times as you want.
How will you do it?
ANSWER: »
Take x coins, flip all of them and put
them in one pile. The rest of the coins form the second
pile.
-
You have four chains. Each chain has
three s in it. Although it is difficult to cut the s, you
wish to make a single loop with all 12 s. What is the fewest
number of cuts you must make to accomplish this task?
ANSWER: »
3 cuts. Cut each in one chain.
Separate them, and use the s to join the ends of the 3
intact chains.
-
Walking down the street one day, I met
a woman strolling with her daughter. "What a lovely child,"
I remarked. "In fact, I have two children," she replied.
What is the probability that both of her children are girls?
ANSWER: »
1/2 probability. There was a raging
debate on this brain teaser, which I got from
3quarksdaily, and after many comments, the
conclusion was that the problem is stated poorly, but
there is a 1/2 probability that both of her children are
girls.
-
Three closed boxes have either white
marbles, black marbles or both, and they are labeled white,
black and both. However, you're told that each of the labels
are wrong. You may reach into one of the boxes and pull out
only one marble. Which box should you remove a marble from
to determine the contents of all three boxes?
ANSWER: »
The one labeled both. Since you know
it's labeled incorrectly, it must have all black marbles
or all white marbles. After you determine what it
contains, you can identify the other two boxes by the
process of elimination.
-
A glass of water with a single ice cube
sits on a table. When the ice has completely melted, will
the level of the water have increased, decreased or remain
unchanged?
ANSWER: »
The water level remains unchanged
because the ice cube displaces its own weight. If you're
not convinced, read
Archimedes' Principle, which states that any
floating object displaces its own weight of fluid. Still
not convinced? Here are a few
more
sources .
-
You are given eight coins and told that
one of them is counterfeit. The counterfeit one is slightly
heavier than the other seven. Otherwise, the coins look
identical. Using a simple balance scale, how can you
determine which coin is counterfeit using the scale only
twice?
ANSWER: »
First weigh three coins against three
others. If the weights are equal, weigh the remaining
two against each other. The heavier one is the
counterfeit. If one of the groups of three is heavier,
weigh two of those coins against each other. If one is
heavier, it's the counterfeit. If they're equal weight,
the third coin is the counterfeit.
-
I was visiting a friend one evening and
remembered that he had three daughters. I asked him how old
they were. "The product of their ages is 72," he answered.
Quizzically, I asked, "Is there anything else you can tell
me?" "Yes," he replied, "the sum of their ages is equal to
the number of my house." I stepped outside to see what the
house number was. Upon returning inside, I said to my host,
"I'm sorry, but I still can't figure out their ages." He
responded apologetically, "I'm sorry, I forgot to mention
that my oldest daughter likes strawberry shortcake." With
this information, I was able to determine all three of their
ages. How old is each daughter?
ANSWER: »
3, 3, and 8. The only groups of 3
factors of 72 to have non-unique sums are 2, 6, 6 and 3,
3, 8 (with a sum of 14). The rest have unique sums:
2 + 2 + 18 = 22
2 + 3 + 12 = 18
2 + 4 + 9 = 15
3 + 4 + 6 = 13
The house number alone would have identified any of
these groups. Since more information was required, we
know the sum left the answer unknown. The presence of a
single oldest child eliminates 2,6,6, leaving 3,3,8.
-
You're in a room with two doors.
There's a guard at each door. One door is the exit, but
behind the other door is something that will kill you.
You're told that one guard always tells the truth and the
other guard always lies. You don't know which guard is
which. You are allowed to ask one question to either of the
guards to determine which door is the exit. What question
should you ask?
ANSWER: »
Ask either guard what door the other
guard would say is the exit, then choose the opposite
door.
If you ask the guard who always tells the truth, he
knows the other guard would lie, so he'll point you to
the door leading to death. If you ask the guard who
always lies, he knows the other guard would truthfully
show you the exit, so he'll lie and point you to the
door leading to death.
An alternate solution is to ask a guard what they would
answer if you were to ask them which door was the exit,
then choose that door. The truthful guard will point to
the correct exit, but the lying guard will too. Here's
why. If you asked him what door was the exit, he would
normally lie and point to the death door, but you asked
him what he would say if you asked what door was the
exit, and in order to lie to that question, he will
point you to the exit.
-
How far can a dog run into the forest?
ANSWER: »
Halfway. After that it will be running
out of the forest.
-
What number comes next?
2, 2, 4, 12, 48, ___
ANSWER: »
240. To get the number, multiply the
previous number in the series by its position. 48 is in
the 5th position, so 48 × 5 = 240
SET B
-
You are a prisoner sentenced to death.
The Emperor offers you a chance to live by playing a simple
game. He gives you 50 black marbles, 50 white marbles and 2
empty bowls and instructs you to divide the 100 marbles into
the two bowls. You can divide them however you want as long
as all the marbles are in the bowls. You will be blindfolded
and the bowls and marbles will be throughly mixed. You will
then choose a single marble from one of the bowls.
If the marble is white, you live. Black and you will be put
to death.
How do you divide the marbles up so that you have the
greatest probability of choosing a white marble?
ANSWER: »
Place 1 white marble in one bowl, and
place the rest of the marbles in the other bowl (49
whites, and 50 blacks).
This way you begin with a 50/50 chance of choosing the
bowl with one white marble and living. Even if you
choose the other bowl, you still have an almost 50%
chance of picking one of the 49 white marbles. There are
no guarantees in life, but this is your best bet at
surviving.
-
What is the next number in this series?
1, 2, 6, 42, 1806?
ANSWER: »
-
If:
2 3 = 10
7 2 = 63
6 5 = 66
8 4 = 96
9 7 = ??
ANSWER: »
-
What do the following numerals
represent?
11111121113122223222
ANSWER: »
The syllables in the numbers from 1 to
20
-
You must buy 100 chickens for exactly
$100, and purchase at least one chicken from each store. The
first store charges 5 cents/chicken, the second charges
$1/chicken and the third charges $5/chicken. How many
chickens should you buy from each store?
ANSWER: »
80 from store 1 = $4
1 from store 2 = $1
19 from store 3 = $95
-
What is special about the following
number sequence?
8, 5, 4, 9, 1, 7, 6, 10, 3, 2, 0
ANSWER: »
It's the numbers 0 through 10 in
alphabetical order.
-
Which two numbers are missing and where
do they go in the sequence?
8, 11, 5, 14, 1, 7, 6, 10, 13, 3, 12, 2
ANSWER: »
The missing numbers are 4 and 9. The
list is sorted alphabetically by the English spelling of
the numbers, so four belongs after five and nine comes
after fourteen.
-
What 4-digit number abcd satisfies this
equation?
4 * abcd = dcba
ANSWER: »
2178
-
Bill buys three items at the store for
exactly $100. The second item costs half as much as the
first item, and the third item is half as much as the
second. How much did each one cost?
ANSWER: »
First: $57.14, Second: $28.57, Third:
$14.29
-
A man was killed on Sunday morning. His
wife found the body and called the police. The police
arrived and questioned the chef, maid, butler, and gardener.
Their alibis were:
Chef - making breakfast
Maid - getting mail
Butler - setting table
Gardener - watering plants
The police immediately arrested the criminal. Who was it and
how did they know?
ANSWER: »
The maid. Mail isn't delivered on
Sunday
-
This is an unusual paragraph. I'm
curious as to just how quickly you can find out what is so
unusual about it. It looks so ordinary and plain that you
would think nothing was wrong with it. In fact, nothing is
wrong with it! It is highly unusual though. Study it and
think about it, but you still may not find anything odd. But
if you work at it a bit, you might find out. Try to do so
without any coaching.
ANSWER: »
The letter e is the most common letter
in the English language, yet it never appears in the
entire paragraph
-
A murderer is condemned to death. He
has to choose between three rooms. The first is full of
raging fires, the second is full of assassins with loaded
guns, and the third is full of lions that haven't eaten in 3
years. Which room is safest for him?
ANSWER: »
The third room, since the lions would
be dead.
-
Name three consecutive days without
using the words Wednesday, Friday, or Sunday.
ANSWER: »
Yesterday, today and tomorrow
-
A plane crashed on the border or US and
Canada. Where do they bury the survivors?
ANSWER: »
You don't bury survivors
-
There are six glasses in a row. The
first three are full of water, and the next three are empty.
By moving only one glass how can you make them alternate
between full and empty?
ANSWER: »
Pour the water from the 2nd glass into
the 5th glass.
-
What four weights can be used to
balance from 1 to 30 pounds?
ANSWER: »
A=1, B=3, C=9 and D=17
1lb = A
2lbs + A = B
3lbs = C
4lbs = A + B
5lbs + A + B = C
6lbs + B = C
et cetera
-
Given these equations, what is the
answer to the last one?
5 3 2 = 151012
9 2 4 = 183662
8 6 3 = 482466
5 4 5 = 202504
7 2 5 = ?
ANSWER: »
f(x,y,z) = 10000*(x*y) + 100*(x*z) +
transpose_digits(x*y + y*z)
transpose_digits() just swaps the digits
-
Three numbers, 16, 14 and 38, need to
be assigned to one of the rows of numbers below. Where do
the numbers belong? (Hint: This is not a mathematical
problem. The numerical values are irrelevant)
A |
0 |
6 |
8 |
9 |
3 |
B |
15 |
27 |
21 |
10 |
19 |
C |
7 |
1 |
47 |
11 |
17 |
ANSWER: »
The rows indicate the shape of the
number. Row A is rounded, B is mixed and C is linear.
Thus, 16 belongs in row B, 14 in row C and 38 in row A.
-
44 33 555 555 666 9 666 777 555 3
What is the message in this code?
ANSWER: »
Pressing these digits in sequence will
produce HELLO WORLD on a cell phone (for an SMS text
message)
-
Two men are standing on one side of a
bridge and two women are approaching them. One of the men
says, "Here comes my wife and daughter" to which the second
man replies, "Here comes my wife and daughter". If they have
not married the same woman and the women aren't pregnant,
how is this true?
ANSWER: »
The men are widowers and married each
others' daughter.
-
Rearrange the letters in the words "new
door" to make one word.
ANSWER: »
"new door" can be rearranged into "one
word"
-
Two fathers and two sons go fishing
together in the same boat. They all catch a fish but the
total catch for the day is 3 fish. How is this possible?
ANSWER: »
There are three men: A grandfather, a
father (the grandfather's son) and the father's son.
-
A green glass door admits only certain
objects. Apples and balls are allowed, but pears and bats
aren't. What determines whether an item can enter?
ANSWER: »
All words with a repeated letter are
allowed. Green glass door, apple and ball.
-
B,C,D,E,G,P
What is the next letter in the sequence?
ANSWER: »
T - they all rhyme.
-
A mile-long train is moving at sixty
miles an hour when it reaches a mile-long tunnel. How long
does it take the entire train to pass through the tunnel?
ANSWER: »
2 minutes (The back of the train would
be at the beginning of the tunnel after 1 minute, and
would leave the end of the tunnel at the 2 minute mark.
-
Stands
-----------
0_2345
What does this represent?
ANSWER: »
No one understands
-
First, think of the color of clouds.
Next think of the color of snow. Last, think of the color of
the moon. Now, what do cows drink?
ANSWER: »
Water (if the teaser worked, you
guessed milk)
-
Rhonda will go see ballet but not the
opera. Her favorite number is eight and she doesn't like
nine. She likes salmon but not trout. She hates Mondays and
likes Wednesdays. Does she use a comb or a brush?
ANSWER: »
A comb. Rhonda likes words with silent
letters, like her name.
-
On a regular 12-hour digital clock how
many times would the same three digits in a row be displayed
(e.g. 1:11, 11:12, 12:22) in one day?
ANSWER: »
34 times. These 17 instances will be
visible twice in a 24 hour period.
1:11 2:22 3:33 4:44 5:55 10:00 11:10 11:11 11:12 11:13
11:14 11:15 11:16 11:17 11:18 11:19 12:22
-
A man says his dog can jump over his
house. No one believes him but he is right. How is that
possible?
ANSWER: »
The dog can jump over his dog house.
-
Five pigeons are sitting on a fence.
The farmer comes out and shoots one. How many are left?
ANSWER: »
None, the rest flew away at the sound
of the gunshot.
-
A plane with 50 passengers crashes and
everyone is killed, but there were only 49 bodies. How is
this possible?
ANSWER: »
Two of the passengers were siamese
twins
-
A man leaves home, turns left, goes
straight, turns left again, goes straight and turns left
once more then returns home and there's another man with a
mask on. What's going on?
ANSWER: »
A baseball game
-
A man is leaving on a business trip and
stops by his office on the way to the airport. The night
watchman stops him and says, "Sir, don't take that flight. I
had a dream last night that your plane would crash and
everyone would die!" The business man cancels his trip and
sure enough, the plane crashes, killing all the passengers.
The man gives his watchman a $10,000 reward for saving his
life, then fires him. Why?
ANSWER: »
Because his night watchman was
sleeping on the job.
-
If you were to spell out the numbers,
how far would you have to go before encountering the letter
'A'?
ANSWER: »
One thousand (or one hundred and one,
depending on how you
pronounce it)
-
A sharpshooter hangs up his hat, turns
around and walks 50 meters, then turns around and shoots his
gun, putting a hole right through his hat. How did he do it?
ANSWER: »
He hung the hat up on his gun.
-
5 cats can catch 5 mice in 5 minutes.
How many cats does it take to catch 100 mice in 100 minutes?
ANSWER: »
5 cats. The same five could keep
catching 5 mice every 5 minutes for 100 minutes.
-
You are in a room with no windows,
doors or any exit. The only items are a mirror and a table.
How do you escape? (Not a typical brain teaser)
ANSWER: »
Look in the mirror, then at the wall
and back at the mirror to see what you saw. Use the saw
to cut the table in half and join the two halves to make
a whole. Put the "hole" on the wall and climb out. (I
know, it's lame)
-
There's a green ranch house on a green
street with green walls, tables and chairs. What color is
the staircase?
ANSWER: »
There is no staircase, it's a ranch.
-
A man saw a snake crossing the road and
swerved to crush it with his tires. All the street lights
were off as well as the car's headlights. There were no
other lights on along the road. How did the man see the
snake?
ANSWER: »
It was during the daytime
-
Four cards are placed in front of you
on the table, each with a number on one side and a color on
the other. The visible cards show 3, 8, red and brown. Which
cards should you turn over in order to test the truth of the
statement that if a card shows an even number on one face,
then its opposite face is red?
ANSWER: »
You'd need to turn over only the 8 and
brown card. Only a card with an even number on one face
and which is not red on the other face can
invalidate the stated rule. If you turn over the 3 card
and it's not red, it doesn't invalidate the rule, nor
does turning over the red card and finding it has the
label 3.
This test was devised by Peter Cathcart Wason and is
known as the
Wason selection task. Less than 10% of test subjects
got it correct in two separate studies.
-
What do the following words have in
common?
current, by, dew, faze, loan, ate
ANSWER: »
They all have homonyms: currant, buy,
due, phase, lone, eight
-
How can you alter the following
equation by a single stroke to make it correct?
5 + 5 + 5 = 550
ANSWER: »
5 4 5 + 5 = 550
Add a diagonal line on the top left of the first plus
sign to convert + into a 4. You could also put a slash
through the equal sign to make ≠ (not equal) but that's
not as cool.
-
During lunch hour a group of boys from
Mr. Bryant's homeroom visited a nearby grocery store. One of
the five took an apple.
Jim said, "It was Hank or Tom".
Hank said, "Neither Eddie nor I did it."
Tom said, "Both of you are lying."
Don said, "No, one of them is lying, the other is speaking
the truth."
Eddie said, "No, Don, that is not true."
When Mr. Bryant was consulted, he said, "Three of these boys
are always truthful but two will lie every time."
Who took the apple?
ANSWER: »
Tom took the apple
Jim was telling the truth
Hank was telling the truth
Tom was lying
Don was lying
Eddie was telling the truth
(3 telling the truth and 2 lying)
-
A six-digit number represented by
ABCDEF (each letter represents a different number) can be
multiplied by 2, 3, 4, 5, and 6 and yet no new digits appear
in the result. As a matter of fact, all the digits are
rotated. What is the number?
ANSWER: »
142857 (The first 6 digits of 1/7)
2 x 142857 = 285714
3 x 142857 = 428571
4 x 142857 = 571428
5 x 142857 = 714285
6 x 142857 = 857142
-
What do these represent?
24 = HiaD
26 = LotA
7 = DotW
9 = LoaC
12 = SotZ
88 = PK
ANSWER: »
24 hours in a day
26 letters of the alphabet
7 days of the week
9 lives of a cat
12 signs of the Zodiac
88 piano keys
-
How do you pronounce Ghoti?
ANSWER: »
Fish. The gh is pronounced as
in tough, the o as in women and the ti
as in nation.
Ghoti
is a constructed word to illustrate irregularities in
English spelling.
-
What does this sentence represent?
Stand Take Mine Taking
I You To My
ANSWER: »
I understand you undertake to
undermine my undertaking.
-
What is the only anagram of Springiest?
ANSWER: »
Persisting
-
How do you get from cold to warm in
four steps, changing only one letter at a time?
ANSWER: »
cold, cord, word, worm or ward, warm
SET C
-
How do you turn 2 into 5?
ANSWER: »
Turn it upside down and look at it in
a mirror.
-
What is N?
6, 9, 27, 54, N, 2241
ANSWER: »
675.
The next number in the sequence is n squared minus m or
f(n,m) = n2 - m
f(6,9) = 62 - 9 = 27
f(9,27) = 92 - 27 = 54
f(27,54) = 272 - 54 = 675
f(54,675) = 542 - 675 = 2241
-
Two boys weighing 50 pounds each and
their older brother weighing 100 pounds wish to cross a
river. Their boat will only hold 100 pounds. How can they
all cross the river in the boat?
ANSWER: »
Two 50lb boys cross, one comes back.
100lb boy crosses, other 50lb boy returns
Both 50lb boys cross.
-
A circular island with a diameter of 30
feet has a 30 foot tree stands at the center. A man cuts the
tree down with his chainsaw, making the cut a foot up from
the ground. The tree comes crashing down and hits the water
but doesn't splash. Why not?
ANSWER: »
It's winter and the water is frozen.
-
What word or expression does this
represent?
ABCDEFGHIJKLMNOPQRSTVWXYZ
ANSWER: »
Missing you (U).
-
Jack is looking at Anne, but Anne is
looking at George. Jack is married, but George is not. Is a
married person looking at an unmarried person?
A) Yes
B) No
C) Cannot be determined
ANSWER: »
A. If Anne is married, she's looking
at George, who is unmarried. If Anne is unmarried, Jack
is looking at her.
-
What is the missing number?
2 3 4 15 12
3 4 5 28 20
4 5 6 45 30
5 6 7 66 42
6 7 8 ?? 56
ANSWER: »
91. To get the number in the fourth
column, you add the numbers in column 1 and 2, then
multiply by the number in column 2. f(n,m) = (n + m) * m
For example, f(2,3) = (2 + 3) * 3 = 15. Thus f(6,7) = (6
+ 7) * 7 = 91
-
Two scruffy dogs were walking down the
street. The first dog turned to the other and said, "Do you
realize that if one of your fleas jumped onto me we would
have the same number of fleas?" The second replied, "Yes,
but if one of your fleas jumped onto me I would have five
times as many fleas as you." How many fleas are on each dog
to begin with?
ANSWER: »
2 and 4
-
A snail creeps 10 feet up a wall during
the daytime, then falls asleep. It wakes up the next morning
and discovers it slipped down 6 feet. If this happens each
day, how many days will it take to reach the top of a 22
foot wall?
ANSWER: »
4 days
Day 1: up to 10, down to 4
Day 2: up to 14, down to 8
Day 3: up to 18, down to 12
Day 4: up to 22 (20 really) and done
-
Two children were playing checkers and
each played five games. Both children won the same number of
games yet there were no ties. How is this possible?
ANSWER: »
They weren't playing each other.
-
How can you put 21 pigs in 4 pigpens
and still have an odd number of pigs in each pen?
ANSWER: »
Put 7 pigs in the first three pens and
arrange the fourth to contain the other three.
-
A woman gave a man a list of things she
needed to buy at the store. The man gave the list back to
the woman and she turned red with embarrassment. Why?
ANSWER: »
The man was a checkout clerk at the
grocery store. The list was for items to get at a
lingerie store.
-
Mike, Jimmy, Nader, Kevin, and Larry
were the top five finishers in the regional 500-mile race.
They drove yellow, orange, green, red and blue cars but not
necessarily in that order. Neither Kevin nor Larry drove the
green car. Kevin finished faster than Mike and Larry. The
blue car finished earlier than Larry's and Nader's car. The
yellow car finished faster than the green car and the orange
car. Mike's and Larry's car finished ahead of the orange
car. Jimmy's car finished before the blue and the yellow
car. Who drove what color car and what place did each driver
finish?
ANSWER: »
1st - Jimmy, red car
2nd - Kevin, blue car
3rd - Larry, yellow car
4th - Mike, green car
5th - Nader, orange car
-
While driving his car a man slams on
the brakes when he sees, in the middle of the street, a
diamond studded door, a gold door and a silver door. Which
door does he open first?
ANSWER: »
His car door
-
Ronald has a rare opportunity to meet
the President of the United States. During his visit the
president gives him a gift but tells Ronald he is never to
sell it unless he sees the president again. Ronald consents,
but the president dies later that year. Years later a man
offers to buy the President's gift for $1000. Ronald agrees
and exchanges the gift for 20 crisp $50 bills. Did he keep
his promise?
ANSWER: »
Yes. The president was Ulysses S.
Grant, who died in 1885 and whose face has been on the
$50 bill since 1913. He saw the president on the bills
before he made the exchange.
-
What 3 digit number has a tens digit
that is 5 more than the ones digit and a hundreds digit that
is 8 less than the tens digit?
ANSWER: »
194
-
Why are manhole covers round?
ANSWER: »
It allows them to be rolled around
easily and prevents the cover from falling into the
hole.
-
You are in the woods with owls and
wolves. There are 22 eyes and 32 legs. How many owls and
wolves are there?
ANSWER: »
5 owls and 5 wolves, (not 6 owls
because 2 of the eyes and legs are yours).
2 * owls + 2 * wolves = 20 eyes
2 * owls + 4 * wolves = 30 legs
owls + wolves = 10 eyes → owls = 10 - wolves
owls + 2 * wolves = 15 → 10 - wolves + 2 * wolves = 15 →
wolves = 5
owls + 5 = 10 → owls = 5
-
When can ten plus ten equal ten, yet
ten minus ten equal twenty?
ANSWER: »
When putting gloves on, then removing
them
-
Eat flush to my nose tree times for
they buy dead by too. What is the answer?
ANSWER: »
Eat (8) flush (plus) to (2) my nose
(minus) tree (3) times (times) for (4) they buy dead by
(divided by) too (2).
There are two answers depending on whether you calculate
as you read or calculate the entire solution at the end.
8 + 2 = 10, - 3 = 7, x 4 = 28, / 2 = 14
or
8 + 2 - 3 x 4 / 2 = 10 - 6 = 4
-
A man owed his friend $63 and repaid
him the exact amount in cash without using coins or $1 bills
(no online transfers, checks, credit cards or any other
tricks) and without requiring change. How did he do it?
ANSWER: »
A $50 bill, a $5 bill and 4 $2 bills.
-
Fill in the blanks with the same 4
letters to make 5 different words.
A ____ old woman on ____ bent, picked up her ____ and away
she went. “____ my son” she was heard to say, “what shall we
do to ____ today?”
ANSWER: »
vile, evil, veil, Levi, live
A vile old woman on evil bent, picked up
her veil and away she went. “Levi my son”
she was heard to say, “what shall we do to live
today?”
-
Perform this calculation in your head,
mentally adding the numbers as quickly as you can. Start
with 1000 and add 40. Now add 1000. Add 30 to that, then add
another 1000. Now add 20 to that result. Add another 1000
and finally, add 10 to that. What is the total?
ANSWER: »
4,100. If you got 5,000 you're not
alone. 96% of test subjects get the wrong answer.
-
Read this sentence.
Finished files are the re-
sult of years of scientif-
ic study combined with
the experience of years.
How many times does the letter F appear?
ANSWER: »
There are six. Most people skip the
word 'of' and only count three.
-
Without changing the order of these
numbers, how can they equal 100?
3 5 6 2 54 5
ANSWER: »
3 * (5 - 6) + 2 * 54 - 5
-3 + 108 - 5
105 - 5 = 100
-
A taxi driver runs through four red
lights, two stop signs and goes through a house. A police
officer witnesses this but doesn't do anything. Why not?
ANSWER: »
The taxi driver is not in his cab,
he's out for a run. The house he went through was his
own because he was done running.
-
Suppose you have twelve eggs and a
balance scale. All of the eggs are identical except for one
whose only difference is its weight. Using the scale only
three times, determine which egg is the odd egg out and
whether it is heavier or lighter than the other eggs.
ANSWER: »
Weigh four against four. If they're
equal, weigh three of them against three you haven't
weighed. If they balance too, weigh the last remaining
egg against any of the others to see if it is lighter or
heavier. If the three suspects are heavier, weigh one of
them against another and the one that goes down is it.
If they balance the remaining suspect is heavy. Use the
same process if they're lighter. If the initial four vs
four don't balance, weigh two heavy eggs and a light egg
against one heavy egg, one light one and a known normal
egg. If they balance weigh the remaining two light eggs
against each other. If they balance the unweighed heavy
egg is the odd one out. If the side with two heavy eggs
goes down weigh them against each other. If they balance
it is the light egg on the other side. If the other side
goes down it is either because of one heavy egg on that
side or because the one light egg on the other side is
lighter than the rest. Weigh one of them against a known
normal egg to determine which is true.
-
What number belongs at the beginning of
this sequence?
?, 3, 2, 3, 9, 2, 4, 8, 4, 3, 7, 6
ANSWER: »
3 ½.
If you break up the numbers into groups of 4, a,b,c,d,
then 2 × |a - d| = |b - c|.
9 2 4 8 → 2 × |9 - 8| = |2 - 4|, or 2 × 1 = 2
4 3 7 6 → 2 × |4 - 6| = |3 - 7|, or 2 × 2 = 4, so
n 3 2 3 → 2 × |3 ½ - 3| = |3 - 2|, or 2 × ½ = 1;
I'm not sure this is the correct solution, but it's the
best I've found so far.
Email me
if you know of a better one.
-
Imagine you're alone in a boat with a
large hole in the bottom. Sharks are swimming around you on
all sides and the boat is sinking fast. How do you survive?
ANSWER: »
Stop imagining ;)
-
A clock loses exactly ten minutes every
hour. If the clock is set correctly at noon, what is the
correct time when the clock reads 3:00pm?
ANSWER: »
3:36pm. For every 60 minutes of real
time, the clock moves 50 minutes. Put another way, 60/50
= 1.2 real minutes per slow-clock minute. In order for
the clock to show 3:00pm, 180 of its slow minutes have
to pass. 1.2 * 180 clock minutes = 216 real minutes or 3
hours and 36 minutes.
-
A man is running across a field at
night clutching something in his arms as several other men
pursue him. He looks back and sees they're getting closer.
In a final burst of effort his pursuers catch up and bring
him crashing to the ground. His pursuers stand over him but
do not touch him or take what he was carrying. Why not? Who
was the running man?
ANSWER: »
A football player who was tackled
-
Two cowboys live next door to each
other and both have a corral for their cows in the back. One
day they meet at the back of their homes, standing next to a
wall dividing their corrals. The first cowboy gets to
thinking and asks his neighbor for a cow so he can double
his herd. The other cowboys replies, "That's fine by me
partner, cuz then we'll have the same number of cows?" How
many cows does each cowboy own?
ANSWER: »
We'll use A to represent the first
cowboy and B for the second cowboy.
A + 1 = 2A, so A = 1.
A + 1 = B - 1, so B = 3.
-
On a dark, stormy Halloween night, four
kids named Luke, John, Sarah and Bob walk into a haunted
house during a blackout. Only one can escape. They take a
staircase to the second floor, a trapdoor on the left, then
go up the ladder to the right, followed by a 28-foot slide
to the basement through the mouth of a Giant Panda. In one
corner of the murky cellar is a chainsaw, a dagger, a rope
with a noose and an electric chair. Written on the wall in
blood are the words, "Only one will survive - choose your
death!" Bob takes the rope, Sarah picks up the dagger, John
chooses the chainsaw and Luke uses the chair.
Who survives?
ANSWER: »
Luke, because there's no power (it's
during a blackout).
-
What does this represent?
Pot OOOOOOOO
ANSWER: »
Potatoes (Pot + 8 Os)
-
Given the numbers 1, 6, 7 and 9, find
an equation that equals 24. You may only use each digit
once.
ANSWER: »
91 - 67 = 24 or
(9 - 6) x (7 + 1) = 3 x 8 = 24 or
6 x √9 + 7 - 1 = 18 + 6 = 24
-
O, S, C, Y, S, B, T, D, ?
What is the next letter in the sequence?
ANSWER: »
E. Oh say can you see, by the dawn's
early light.
-
A red-house is made of red bricks, has
a red wooden door and a red roof. A yellow-house is made of
yellow bricks, has a yellow wooden door and a yellow roof.
What is a green-house made of?
ANSWER: »
Glass.
-
On a game show there are three closed
doors - one hides a car and the other two conceal a goat.
The contestant selects a door, which remains closed, and the
host, knowing where the car is hidden, reveals a goat behind
one of the remaining two doors. The contestant is then given
the option to switch doors or stay with the one they
originally selected. What should the contestant do to have
the best chance of winning the car?
ANSWER: »
The contestant should switch doors,
which doubles the chance of winning the car. Initially
there is a 2/3 chance of picking a goat, but once the
other goat is revealed, switching to remaining door
gives the contestant a better chance of winning the car.
This is known as the
Monty Hall Problem and can be very unintuitive.
-
If a plane sits on a conveyer belt
whose speed matches that of the plane in the opposite
direction, can the plane take off?
ANSWER: »
Yes, because a plane's wheels roll
freely and have no affect on the movement of the
plane(unlike a car). The propellor or jet engine makes
the plane move and the plane will be able to take off
normally. If you don't believe me, here's
proof.
-
Go back. You must strive to find a way
to stay alive. What is 4+no.5?
ANSWER: »
South. If you read the letters from
back to front they make 5.ou+4, or south.
-
What 6-letter word has the same pair of
letters in spots 1 and 5, a different pair in spots 2 and 6
and contains a 'u' in between?
ANSWER: »
church, delude, inulin or recure
-
What letter comes next?
O T T F F S S
ANSWER: »
E (one, two, three, four, five, six,
seven eight)
-
SO, ND, JF, MA, __, __
What are the next two pairs of letters?
ANSWER: »
MJ, JA. September, October, November,
December...
-
Three rooms contain, 1) Gold coins, 2)
Currency notes and 3) Cotton bags. If all three rooms catch
fire, which room will the ambulance pour water on first?
ANSWER: »
An ambulance doesn't pour water.
-
Alfred and Bill are clerks at the local
grocery store. Alfred can stock a shelf in 20 minutes, but
Bill is new and takes 30 minutes. How long would it take for
them to stock a shelf together?
ANSWER: »
Working together they can stock a
shelf at a rate of 1/20 + 1/30 (or 5/60) per minute.
They'll finish in 12 minutes
-
Ralph goes to the hardware store to buy
something for his house. He asks the clerk how much one will
cost and the clerk looks it up and tells him it will be $3.
He asks about buying twelve and is told it will be $6. Two
hundred will cost $9. What is Ralph buying?
ANSWER: »
Door numbers at $3 each.
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Your are given the numbers 777, 888 and
999. Using the numbers once and adding, subtracting,
multiplying or dividing, how can you make 999?
ANSWER: »
(7 x 7 x 7) + (9 x 9 x 8) + ((9 - 8) x
8) = 999
If other operators were allowed, another solution would
be 999 modulo (888 x 777)
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This problem can be solved by
pre-school children in five to ten minutes, by programmers
in an hour and by people with higher education...well, check
it yourself.
8809 = 6
7111 = 0
2172 = 0
6666 = 4
1111 = 0
3213 = 0
7662 = 2
9313 = 1
0000 = 4
2222 = 0
3333 = 0
5555 = 0
8193 = 3
8096 = 5
1012 = 1
7777 = 0
9999 = 4
7756 = 1
6855 = 3
9881 = 5
5531 = 0
2581 = ?
ANSWER: »
2. The number of closed circles in the
4 digits. 0, 6 and 9 each have one, 8 has 2.
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A boat full of people goes under a
bridge and when it comes out the other side not a single
person is on it. How can this be?
ANSWER: »
All the passengers are married.
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Jim and Wanda both have some apples. If
Jim gives Wanda an apple, they will both have the same
number of apples. However, if Wanda gives Jim an apple, Jim
will have twice as many as Wanda. How many apples do Jim and
Wanda each have?
ANSWER: »
Jim has 7 apples and Wanda has 5
apples.
SET D
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He was the perfect gentleman even
though his nephew couldn't see it. Who was he?
ANSWER: »
A fine chap with a blind nephew (or an
exemplary uncle who died before his nephew was born).
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From a basket of mangoes when counted
in twos there was one extra,
counted in threes there were two extra,
counted in fours there were three extra,
counted in fives there were four extra,
counted in sixes there were five extra,
but counted in sevens there were no extras.
At least how many mangoes were there in the basket?
ANSWER: »
119. The number has to be evenly
divisible by seven for there to be no extras when
counting in sevens, and it has to be odd in order for
there to be one extra when counting by twos. It also
can't be evenly divisible by three through six. 119 is
the first odd multiple of 7 that satisfies the
requirements.
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gges egsg segg esgg
What does this represent?
ANSWER: »
Scrambled eggs
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A man without eyes saw plums on a tree,
He didn't take plums nor plums did he leave.
How can this be?
ANSWER: »
The man had only one eye and took one
plum. (note singular versus plural)
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What word can be written forward,
backward or upside down while still remaining the same word?
ANSWER: »
NOON
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Two days ago Lilly was 7 years old.
Next year she will turn 10. How can this be?
ANSWER: »
Her birthday is on December 31st.
Today is January 1st so she was 7 two days ago, now
she's 8. She will turn 9 this year and next year she'll
turn 10.
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How can you cross out four letters from
the word LIVING to leave six remaining?
ANSWER: »
Cross out LING, leaving you with VI,
or 6 in Roman numerals.
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011 235 813 213 ???
What comes next?
ANSWER: »
455. The numbers are from the
Fibonacci sequence in groups of 3. The next numbers
in the series are 34 (the 3 was already used in 213) and
55.
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A women and daughter walked into a
restaurant. A man walked past and the women both said,
"Hello, Father". How is this possible?
ANSWER: »
The man was a priest.
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When Randolph asked Hilda how old she
was, Hilda replied that in two years she would be twice as
old as she was five years ago. How old is Hilda?
ANSWER: »
Aside from the potential response that
it's rude to ask the age of a lady, the answer can be
worked out mathematically.
x + 2 = 2(x - 5)
x + 2 = 2x - 10
x + 12 = 2x
12 = x
In two years she'll be 14, which is twice her age 5
years ago (7).
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The 17 items in your shopping cart
weigh 8 pounds. But when your daughter puts in a ball,
poster board and yo-yo the shopping cart weighs less. How is
that possible?
ANSWER: »
Your daughter had to get out of the
cart to fit the remaining items.
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A mother of three children had six
apples. She gave two to each and yet 4 remained. How was
this possible?
ANSWER: »
She gave the same 2 apples to each
child in succession.
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A dad offered to pay his son $5 for
every correct answer on his math test. His son said he would
pay his Dad $8 for every incorrect answer. There were 26
questions on the test and no money was exchanged. How?
ANSWER: »
The son got 16 questions correct and
missed 10. This means he owed his Dad 10 * $8 = $80, but
his Dad owed him 16 * $5 = $80, so it was a wash.
Two math equations to solve it are x + y = 26 and 5x =
8y.
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If two hours ago it was as long after
one o'clock in the afternoon as it was before one o'clock in
the morning, what time is it right now?
ANSWER: »
9pm (or 21:00). There are 12 hours
between 1pm and 1am, so 6 hours after 1am is halfway. 6
hours + 1pm equals 7pm. In order for 7pm to be 2 hours
behind the current time, it must be 9pm.
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A man walks out of a house that has
four walls all facing north. A bird walks past him. What
kind is it?
ANSWER: »
A penguin. If all four walls face
north the house must be at the southernmost point of the
earth. Really, any
native antarctic bird would work.
This brain teaser is quite similar to the guy whose
house walls face south and sees a bear, then you're
asked the color of the bear. The bear would be white (a
polar bear) as they're the only bears indigenous to the
north pole. A lawyer would claim it's all circumstantial
evidence and the bear could be an imported brown bear.
The laywer makes a valid point.
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What is the longest word in the English
dictionary?
ANSWER: »
Smiles because there is a mile between
the two s's. (Groan)
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What is special about the phrase, 'Race
car'?
ANSWER: »
It's a palindrome (a word or phrase
that's spelled the same backwards and forwards).
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A man gets off the bus looking for an
address and approaches a couple walking in the same
direction for directions. The woman says they're going that
way and take him. Along the way the man asks if they're
related. The woman grins and says, "We're not strangers.
This man's mother is my mother's mother-in-law." The man is
confused but doesn't say anything. When he gets back home he
tells his wife about the conversation and she can't figure
it out either. They decide to ask their lawyer and he
eventually works it out with pen and paper. How are the
couple related?
ANSWER: »
The couple is either a man and his
daughter or an uncle and his niece.
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A dad told his son he would give him $5
for every correct answer on his math test. His son replied
that he would pay $8 for every incorrect answer. There were
26 questions on the test and no money was exchanged. Why?
ANSWER: »
The son answered 16 questions
correctly, missing 10. He owed his Dad 10 * $8 = $80 but
his Dad owed him 16 * $5 = $80, so they were even.
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How do you get 24 from 9, 6, 11 and 3
using addition, subtraction, multiplication and division?
ANSWER: »
(6 - 3) x 11 - 9
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Phil asks his friend Stan when his
birthday is. Stan replies that he was 32 the day before
yesterday and next year he'll be 35. When is his birthday
and how is this possible?
ANSWER: »
Today is Jan 1st and his birthday is
on December 31st. He was 32, then turned 33 on Dec 31st,
and this year on Dec 31st he'll turn 34, so next year
he'll be 35.
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A man wants to get into a night club
where the bouncers test each person before they can enter.
The man waits and watches. A woman walks up to the bouncers
and the bouncers say 6. The woman replies with 3 and goes
in. A small man walks up and they say 12. The man replies 6
and is admitted. The first guy thinks he's figured it out
and walks up. They say 4 and the man replies with 2, but
they don't let him in. What should he have said?
ANSWER: »
4. The answer is the number of letters
in the number. Six has 3 letters, twelve has 6 letters
and four has 4 letters.
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What is half of 8? (Hint: It's not 4)
ANSWER: »
3 (sliced vertically), o (sliced
horizontally)
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Using all the digits from 1 to 7, what
two numbers have the largest product? For example, 1234 x
567 = 699678 but you can do much better than that.
ANSWER: »
742 x 6531 = 4,846,002.
A similar problem can be found in L.A. Graham's
Ingenious Mathematical Problems and Methods with a
range of 1 to 9, but the principle remains the same -
the numbers with the smallest difference produce the
largest product. You start out with the highest two
digits, 7 and 6, then attach 5 and 4, putting the
smaller of the two digits with the larger number, giving
you 74 and 65. The next two highest digits are 3 and 2,
giving you 742 and 653. Finally, you add the 1 to the
lower number.
Page 80 has the details of that solution.
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I have nine matchbox sticks and would
like to make ten. How do I do it?
ANSWER: »
Arrange the matchbox sticks like so:
_
/| | |
| |_|
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In 2012 a class was divided into 2
groups. Their assignment was to find the names of at least 3
children who were born on the same day from 5 different
months of 2011. These were the results:
Group 1
August 20: Oliver, William, and Adam.
January 3: John, Alice, and Ken.
September 7: Bruce, Shane, and Peter.
June 11: April, Patrick, and Bobby.
July 19: Trent, Julie, and Charles.
Group 2
March 1: Karl, Willie, and Patty.
February 29: Blake, Kobe, and Wayne.
December 24: Kyle, Chad, and Zoe.
May 12: Matthew, Manny, and Adrian.
November 20: Greg, Fiona, and Elizabeth.
The members of group 2 got an F on the assignment. Why?
ANSWER: »
Group 2 failed because 2011 wasn't a
leap year, meaning there was no February 29th.