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Numbers 131 puzzles
are from NPR's Puzzlemaster, Will Shortz. Starting with number 32, sources will vary.
Scroll down for the answers, matching the puzzle number to the
answer.

^{100.} Two planes take off at the same exact moment. One leaves New York and is flying to Paris at 500 miles per hour. The other leaves Paris and is flying to New York at 450 miles per hour. Which one will be closer to Paris when they meet? 

^{99.} Mary's mum has four children.
The first child is called April.
The second May.
The third June.
What is the name of the fourth child? 

^{98.} A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why? 

^{97.} Sean caught a prize fish last weekend. He was going to measure it but realized his ruler wasn't long enough. He was able to measure the head and discovered it was 9cm long. He then measured the tail and found it was the length of the head plus half the length of the body. If the body was the length of the head plus the tail, what is the total length of the fish? 

^{96.} Write the digits from 1 to 9 in a line. If you put times signs after the 2 and 4, a plus sign after the 5, and a minus sign after the 7, you have 12 x 34 x 5 + 67  89, which equals 2018. That's six years off from our current year 2012. This example uses four arithmetic symbols. The object is to use just three of the following arithmetic operations: addition, subtraction, multiplication and division, in a line from 1 to 9 to get 2012 exactly. The operations should be performed in order from left to right. There are no tricks to this puzzle. Can you do it? 

^{95.}
What is the next number in this series?
1, 2, 6, 42, 1806 

^{94.} 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? 

^{93.}
How can you throw a ball as hard as you can and have it come back to you, even if it doesn't bounce off anything? There is nothing attached to it, and no one else catches or throws it back to you. 

^{92.} What word or expression does this represent?
ABCDEFGHIJKLMNOPQRSTVWXYZ 

^{91.} What English word retains the same pronunciation, even after you take away four of its five letters? 

^{90.} There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose. How can you label the boxes correctly? 

^{89.} I am the beginning of the end and the end of time and space. What am I? 

^{88.} You can imagine an arrow in flight, toward a target. For the arrow to reach the target, the arrow must first travel half of the overall distance from the starting point to the target. Next, the arrow must travel half of the remaining distance.
For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m.
If you extend this concept further, you can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target? 

^{87.} Your last good pingpong ball fell down into a narrow metal pipe imbedded in concrete one foot deep.
How can you get it out undamaged, if all the tools you have are your tennis paddle, your shoelaces, and your plastic water bottle, which does not fit into the pipe? 

^{86.} A man is trapped
in a room with only two possible exits: two doors. Through the first door, there is a room constructed from magnifying glass. The blazing sun instantly fries anyone or anything that enters. Through the second door, there is a fire breathing dragon. How does the man escape? 

^{85.} Jim, Jeanne, Louis and Anne wants to cross the bridge at night. They have only one torch light with them. Only two can cross the bridge at a time. They need torch light to cross the bridge. Each of them walks at a different speed. Jim needs 1 minute, Jeanne needs 2 minutes, Louis needs 5 minutes and Anne needs 10 minutes.
A pair must walk together at the rate of the slower person.
How these people can cross the bridge within 17 minutes?


^{84.} Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return $5 to the men.
The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself.
Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14.....where has the other $1 gone from the original $15? 

^{83.} You have a 3 gallon jug and a 5 gallon jug. You need to measure out exactly 7 gallons of water. How do you do it? 

^{82.} You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.
After a few minutes each of your friends has one apple each, yet there is an apple remaining in the basket. 

^{81.}
A man makes a claim that he can predict the exact score of every football game, before it begins. And he's always right. How's that possible?


^{80.} I'm a fourdigit number. My 2nd digit is twice greater than my 3rd. The sum of all my digits is thrice greater than my last digit The product of my 3rd and 4th digits is 12 times greater than the ratio of my 2nd to 3rd. What am I? 

^{79.} How did Mark legally marry three women in Michigan, without divorcing any of them, becoming legally separated, or any of them dying? 

^{78.} I have four legs but no tail. Usually I am heard only at night. What am I? 

^{77.} A landscaper returns from work and is sitting at the kitchen table with his kids. The kids ask, "Did you work hard today, Daddy?" And he answers, "I did. I planted
five rows of four trees each." His
thirdgrader, wanting to show off her mastery of the multiplication tables
says, "Oh, that means you planted 20 trees, Daddy." He says, "No,
"I planted 10 trees."
She says, "That's impossible." He says, "No it isn't. I planted 10 trees in five rows of four, and I'll give you a hint. If you look at one of the test papers your teacher has returned to you recently, you're going to find the answer on one of those papers." Can you figure it out? 

^{76.} What English word has three consecutive double letters? 

^{75.} Read this sentence: Finished files are the result of years of scientific study combined with the experience of years. / How many times does the letter "f" appear? 

^{74.} Tom's mother has three children. One is named April, one is named May. What is the third one named? 

^{73.}
An 18wheeler 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? 

^{72.} 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? 

^{71.} Add the last two digits of the year you were born, and add the age you will attain this year. It will equal 111, unless you are over 100 years old; then it will equal 211. How does this work? 

^{70.} 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.


^{69.} Two women apply for a job. They are identical. They have the same mother, the same father and the same birthday. The interviewer asks, "Are you twins?" to which they honestly reply, "No." How is this possible? 

^{68.} Here is a series of numbers. What is the next number in the sequence?
1
11
21
1211
111221
312211
13112221 

^{67.} 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. Just as the dog was crossing the middle line a Buick Skylark with 2 broken headlights speedily approaches his position, but manages to swerve out of the way just in time. How could the driver have possibly seen the dog to swerve in time?


^{66.} 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? 

^{65.} Five words that contain SM as a letterpair have had all of their other letters removed and placed into a pool. Put those letters back in their proper places. What are the words?
***SM, SM****, **SM**, ***SM*, **SM***
Pool: A, A, A, A, A, C, D, E, H, H, I, I, I, J, L, N, P, T, Y, Y 

^{64.}
A man wanted to work but he could not log in to his computer terminal successfully. He tried twice but his password didn't work. He then remembered that the passwords are reset every month for security purposes. So he called his boss and said,
"Boss, my password is out of date." The boss replied, "Yes, that's right. The password is different. The new one has the same amount of letters as your old password, but only four of the letters are the same." With that he could correctly log into his station. Can you tell determine the new and old passwords? 

^{63.} Why is it common to have a nine minute snooze interval on alarm clocks, rather than a ten minute interval? 

^{62. }Punctuate these words:
that that is is that that is not is not is not that it it is 

^{61. }NOTE: This doesn't always work, but it usually does. Give it a try! Think of a number between 1 and 10. Now Double it. Now add 8. Now half it. Take a way the first number you thought of, and you will be left with a single digit number. Now take that number and turn it into a letter a =1 b=2 c=3 etc. Now take that letter and think of a country beginning with that letter. Now take the second letter of the country and think of a animal beginning with that letter. You were thinking of Denmark and Elephant, right? How does this work?? 

^{60. } A man wanted to encrypt his password but he needed to do it in a way so that he could remember it. He had to use 7 characters consisting of letters and numbers only (no symbols like ! or <). In order to remember it, he wrote down "You force heaven to be empty." What was the password? 

^{59. }What is special about this number sequence?
8 5 4 9 1 7 6 10 3 2 0


^{58. }A married couple has two children; one of them is a girl. What is the probability that the other child is also a girl? (Assume that that the probability of each gender is 1/2)


^{57. }There is a question somewhere in the grid. Find and answer the question,
W A H E U K F V I P Z
H U U H T J O P N W L
A E P W O N T D S W S
T R H U O L M V R G A
I D P A D W U N R T C
S R S E X D A K K E A
O M E R L X E R K Y O
N J Z I S X N M B I Q
E R X F Q X V G Y E V
P P E G F W Z W N R O
L A J V R J H F K T X
U H F K Y E W I F U C
S S W C Q R Q Y H R U
O M W E O R Q J K H R
N M B W U K A J Y D Q
E T I Y O E D L R P F 

^{56. }These words can all have a letter added and then be rearranged to make a new 5letter word. The letters added spell a 9letter word. What are the new words?
HERB,
BANG,
KEEN,
SUIT,
QUAD,
WHEY,
CELL,
TOIL,
WILD 

^{55. }There are 5 houses in 5 different colors. In each house lives a person of a different nationality. The 5 owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. Using the clues below can you determine who owns the fish?
The Brit lives in a red house.
The Swede keeps dogs as pets.
The Dane drinks tea.
The green house is on the immediate left of the white house.
The green house owner drinks coffee.
The person who smokes Pall Mall raises birds.
The owner of the yellow house smokes Dunhill.
The man living in the house right in the middle drinks milk.
The Norwegian lives in the first house.
The man who smokes Blend lives next door to the one who keeps cats.
The man who keeps horses lives next door to the man who smokes Dunhill.
The owner who smokes Blue Master drinks beer.
The German smokes Prince.
The Norwegian lives next to the blue house.
The man who smokes Blend has a neighbor who drinks water. 

^{54. }Think of two words that are opposites, beginning with the letters 'H' and 'M.' Change the 'H' to an 'M.' Say the result out loud, and you'll have the name of something nice to eat. What is it? 

^{53. }Name a wellknown university. Move the last letter three places earlier in the name. The result will be a phrase meaning 'represent.' What's the university and what's the phrase? 

^{52. }Take
the phrase 'atlas of the world,' change the 'E' to an 'R,' and rearrange all the letters to name two cities that are closely related. 

^{51. }Take the word "DEADHEADED", it's a hyphenated word. It containes one "H," two "A's," three "E's" and four "D's." In the world of word play this is called a pyramid word because it has the increasing letter frequencies one, two, three and four. Can you think of another 10letter pyramid word that is a kind of shirt? One letter in it appears once, one twice, one three times and one four times. Hint: the letter that appears just once is a 'V.' 

^{50. }John wrote the name of a U.S. state on a sheet of paper in capital letters. He then turned his page upside down and looked at it in a mirror.
It read exactly as he had written it.
What is the name of the state? 

^{49.
}A farmer
returns from the market, where he bought a goat, a cabbage and a wolf (what a crazy market :). On the way home he must cross a river. His boat is small and won’t fit more than one of his purchases. He cannot leave the goat alone with the cabbage because the goat would eat it, nor he can leave the goat alone with the wolf because the goat would be eaten.
How can the farmer get everything on the other side? 

^{48. }Take the phrase 'Receiving Line'. Rearrange these 13 letters to name a common profession. 

^{47.} Take the plural name of one animal and the singular name of another animal. Say the two words out loud one after the other and you'll name a country. What are the animals, and what is the country? 

^{46.} Angela left on a trip the day after the day before yesterday and she will be back on the eve of the day after tomorrow. How many days is she away? 

^{45.} Take the name 'Pensacola,' remove one letter and rearrange the letters that remain to get the first and last name of a famous person in American history. Who is it? 

^{44.} Take 'tire' and 'exhaust.' They're both things a car has. But as verbs, in a noncar sense, they're synonyms. The challenge is to name 2 articles of apparel, things to wear, each with 4 letters, and as verbs, in a nonapparel sense, the 2 words are synonyms. What words are they? 

^{43.} Think of a familiar phrase in five words that means 'tongue tied.' One word in it has one letter, one word has two letters, one has three, one has four and one has five — though not necessarily in that order. What is the phrase? 

^{42.} Find a chain of 'C' words to connect 'carbon' to 'circuit.' Each pair of words completes a compound word or familiar twoword phrase (e.g. CASH COW or CREDIT CARD). There are seven words between 'carbon' and 'circuit' for a total of nine words. Each word has to start with 'C,' and each has to combine with the words before and after to make a compound word or familiar twoword phrase. 

^{41.} Write down the digits from 2 to 7, in order. Add two mathematical symbols to get an expression equaling 2010. 

^{40.}Name a country somewhere in the world. Insert a 'Z.' The result can be broken up into 3 consecutive words. The first word is a popular brand name. The second word is something this product uses, and the third word is the kind of product it is. What's the country? 

^{39.} Assume that penguins live with a density of 1,000 penguins per square mile and can run at an average speed of 7 miles per hour on land and swim at 20 miles per hour. Also assume that a polar bear has a territory of 10 square miles, can run at 25 miles per hour and swim at 10 miles per hour, how many penguins will an average polar bear eat in any given month, remembering that a polar bear could, as a maximum, only eat one penguin per hour and 7% of the land is next to the sea. 

^{38.} Why aren’t manhole covers square?


^{37.} In each sentence an animal is concealed. The first sentence has dog concealed. Can you find the others? 1. What shall I do, Gertrude? 2. Asking nutty questions can be most annoying. 3. A gold key is not a common key. 4. Horace tries in school to be a very good boy. 5. People who drive too fast are likely to be arrested. 6. John came late to his arithmetic class. 7. I enjoy listening to music at night. 

^{36.} Every answer is a twoword phrase in which the first word begins with BE and the second begins with ST: 1. Nickname for Utah 2. One jewel of horse racing's Triple Crown 3. Cause of red bump on the skin 4. What separates Alaska from Russia 5. Star of "Zoolander" and "Meet the Fockers" 6. Once a giant among US steel manufacturers 

^{35.} Here are some wellknown expressions rewritten into "Cliffese". For those of you who don't know what that means, he was a very wordy person on the TV show "Cheers" and never used a small word where a larger one would work. Try to figure out the phrases in simpler terms:
a)
To place a primitive agricultural conveyance in a position anterior to the animal Equus caballus. b)
It requires a number of people greater than one to perform a terpsichorean series of low dips and twisting steps on the toes. c)
To accumulate an excess of temperature beneath a circular, tightfitting clothing component. d) Emanating from a culinary vessel into a site of pyrogenic activity. 

^{34. }Three people check into a hotel. They pay $30 to the manager and go to their room. The manager suddenly remembers that the room rate is $25 and gives $5 to the bellboy to return to the people. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29. Where is the missing $1? 

^{33. } A ship is docked in the harbor. Over the side hangs a rope ladder with rungs a foot apart. The tide rises at a rate of 9 inches per hour. At the end of 6 hours how much of the rope ladder will still remain above water, assuming that 9 feet were above the water when the tide began to rise? 

^{32. } Of all the numbers whose literal representations in capital letters consists only of straight line segments (for example, FIVE), only one number has a value equal to the number of segments used to write it. What number has this property? 

^{31. }Think of a common street sign with three words: four letters in the first word, four letters in the second word, and three letters in the last. Drop the last letter of the first word in the sign, and you'll get a new word that is a synonym of the last word in the sign. What is the sign? 

^{30. }Start with an eightletter mathematics term. Remove the first, fourth and eighth letters to produce a synonym of the original word. What is it? 

^{29. } Think of a famous TV personality with five letters in the first name and four letters in the last name. Change the first letter of this celebrity's first name to M. Drop the first letter of the last name. Read the result in order, and it will spell something this person is famously known for doing many times. Who is this person? 

^{28. }Name a make of car containing the letter "N." Rearrange the letters to get a new word starting with "N" that names something you might put a car in. What is it? 

^{27. }Take the last name of a wellknown 20th century world leader. Seven letters. Write these letters in a circle reading clockwise. Then, starting with the fourth letter of the name and reading counter clockwise, you'll name an important period in human history. What is it? 

^{26. }Name a wellknown American of the past consisting of eight letters. This is the person's full name as he or she was known. Six of the letters are consonants, and all six of these consonants are Roman numerals. Who is this famous person? 

^{25. }Name a people of Europe. Remove the second and
third letters of this word. The remaining letters, in order, will
spell an area of Europe, that is unrelated to the people. Who are
the people and what is the area? 

^{24. }Take the letters of PYTHAGOREAN and rearrange
them to make two familiar math terms. 

^{23. }Take the name of a geographical area in the
New World (in the western hemisphere). It's popular with tourists,
and has seven letters in its name, one of them an "A." Change the
"A" to an "S" and rearrange the result to name a geographical area
in the Old World that is also popular with tourists. What places are
these? 

^{22. }Think of a familiar threeword phrase in the
form of "in the blank." The word that fills the blank will start
with the letter "S." Move the "S" to the end and you'll get another
familiar phrase in the form of "in the blank." What phrases are
these? 
^{21.}Take the word "lore." If you insert the letter
pair "ic" twice, you get "licorice." Now take the word "horn." Add
an identical letter pair three times to this word, to get a
familiar twoword phrase. The phrase names something good puzzle
solvers have. What is it? 

^{20. }What eightletter noun  containing the
letter "B"  is pluralized by inserting an "S" immediately before
the "B"? 

^{19. }Name a traditional means of
sending a communication, in eight letters. It
contains the letter "R" somewhere inside it. Drop
the "R" and rearrange the remaining letters to name
another means of communication, in seven letters.
It's a modern means of communication. Hint: Both
words start with the same letter. What words are
these?


^{18. }Take the word carburetor, add
two letters and rearrange the result to name another
car part. And the answer is one word. What car part
is it?


^{17. } Take the name Eli and add
three letters in front of it, add the same three
letters in reverse order after it to complete a
familiar two word phrase in nine letters. What is
it?


^{16.} Take the word "debunk," starting with
the "b" inside, read the letters forward and you get "bunk." And
starting with the "b" and reading backward, you get "bed." Together,
these two words spell "bunk bed." Now, think of a word with an "m"
inside, starting with the "m" and reading forward, you'll get one
word, and starting with the "m" and reading backward, you get
another word. And together these two words make a job title. What is
it? 

^{15. }Think of a fourletter word starting
with O. Change one of its letters to a new letter and rearrange to
get a new fourletter word that's a synonym of the first. Then
change one of its letters to a new letter and rearrange to get a
third fourletter word that's a synonym of the first two. What words
are these? 

^{14. } Name a sixletter animal. Change the second
letter to the next letter of the alphabet. Read the
result backward, and you'll name a major U.S. city.
What city is it?


^{13. } Take the name Eli and add three letters in
front of it, add the same three letters in reverse order after it to
complete a familiar two word phrase in nine letter. 

^{12. } Take the names pelican and antelope, the
first is a bird the second a mammal. The last two letters of pelican
are the first two letters of antelope, and the last two letters of
antelope are the first two of pelican, completing a loop. Can you
name another bird and mammal that this is true of? These should be
the general name of the bird and mammal not a specific breed or
gender. Hint: Each is a single word no more than eight letters. 

^{11.} A 10letter word for a form of travel consists
of five consecutive symbols of chemical elements. What is it? (For
instance, if "automobile" had been the answer, AU, would represent
Gold, MO would represent Molybdenum, and BI, would represent
Bismuth. Unfortunately, the remaining bigrams, TO and LE, are not
chemical symbols.) 

^{10.} Name a wellknown place in the United States,
with a population of at least 40,000 people. It has two words in its
name. If you reverse the last three letters of the first word you'll
get the first three letters of the second word. What is it? 

^{9.} Start with the name of a masked crime fighter,
who had a TV show. Add the letters L, A and rearrange the results to
get the name of another masked crime fighter who had a TV show. Who
are these characters? 

^{8.} Think of a word whose meaning you can make
plural by adding an A at the start. Start with a very common
singular noun, add the letter A at the beginning, and you'll make
the meaning plural. What word is it? 

^{7.} Take a twoword phrase meaning "a difficult
puzzle." Drop the first letter, read the remaining letters backward,
and you'll get a word for part of Alaska. What is it? 

^{6.} An imaginary country mints coins in three
denominations. Each denomination has an integral number, 1, 2, 3,
etc. The amounts, 20, 23 and 29, can each be made with exactly three
coins. What are the three denominations minted? 


^{5.} Take the word "plantation"  it contains
the consecutive letters of the movie Patton reading from
left to right, although not consecutively. What familiar word
contains the letters of Star Wars, reading from left to
right, and not necessarily consecutively? 

^{4.} Name two fruits, and say their names out loud.
They sound like a twoword phrase meaning "today." What is the
phrase? 

^{3.} This challenge involves a
fourletter word square. Write down these four
words, one under the other: SAGA, OPAL, FELL, and
TRAY. The results spell four different words
vertically: SOFT, APER, GALA, ALLY. This square
contains three "L's" and no plurals, or verbs formed
by adding "S". The challenge is to create a similar
square with as many "L's" as possible, and no
plurals or verbs formed by adding "S". And our
reference for acceptable words will be
MerriamWebster's eleventh Collegiate Dictionary.


^{2.}
Take the animal puma: the last two letters of its
name, "m," "a," start mandrill, which is a large
baboon. The last two letters of "mandrill," ll,
start llama, and the last two letters of llama,
start marmot. So, the result is a chain of four
animals, with two letter links, puma, mandrill,
llama, marmot. Can you form a similar chain of
animal names linking, hippo to ermine? And the
number of links in the chain is for you to
determine. Every animal has to be either a mammal or
a reptile. Only the general terms for animals are
allowed, not the names male, female, young, breeds,
nicknames, etc.


^{1. }Think of a sevenletter word that names a muchadmired person. The first letter is "p." Replace the "p" with an "r", rearrange the result, and you'll name a person who is despised. Neither word is capitalized. Who is it? 



^{100.} They will both be the same distance from Paris when they meet. 
^{99.} Mary! 
^{98.} The man is of short stature. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella. 
^{97.} 72 cm 
^{96.} 1234  5  6 + 789 = 2012 
^{95.} To get the next number, multiply the previous number in the series by itself plus one: n * (n+1). For example, to get 6, multiply 2 * 2+1. To get 42 multiply 6 * 6+1.
Thus, 1806 * 1807 = 3263442 
^{94.} The surgeon was the boy's mother. 
^{93.} Throw the ball straight up in the air. 
^{92.} Missing you (U) 
^{91.} Queque 
^{90.} Pick from the one labeled "Apples & Oranges". This box must contain either only apples or only oranges.
If you find an Orange, label the box Orange, then change the Oranges box to Apples, and the Apples box to "Apples & Oranges"he 
^{89.} The letter E 
^{88.} Since the arrow does indeed hit the target, it must be true that 1/2 + 1/4 + 1/8 + ... = 1.
This is because the sum of an infinite series can be a finite number. 
^{87.} All the tools are random things that are not going to help you. All you have to do is pour some water into the pipe so that the ball swims up on the surface. 
^{86.} The man waited for nightfall, and once it was dark, he exited through the door to the room made of magnifying glass. 
^{85.} First Jim and Jeanne walks across the bridge, it takes 2 minutes.
Jim walks back with the torch light, which takes 1 minute.
Then Louis and Anne walk on the bridge, which takes 10 minutes.
Jeanne comes back with the torch light, it takes 2 minutes.
Finally Jim and Jeanne walks across the bridge, which takes 2 minutes.
Total = 2 + 1 + 10 + 2 + 2 = 17 minutes.

^{84.} The payments should equal the receipts. It does not make sense to add what was paid by the men ($12) to what was received from that payment by the waiter ($2)
Although the initial bill was $15 dollars, one of the five dollar notes gets changed into five ones. The total the three men ultimately paid is $12, as they get three ones back. So from the $12 the men paid, the owner receives $10 and the waiter receives the $2 difference. $15  $3 = $10 + $2 
^{83.} Fill the 5 gallon jug with water, pour it into the 3 gallon jug until the 3 gallon is full, leaving 2 gallons in the 5 gallon jug. Now pour out the water in the 3 gallon jug. Pour the 2 gallons of water (in the 5 gallon jug) into the empty 3 gallon jug. Fill the 5 gallon jug. You now have exactly 7 gallons! 
^{82.} You give an apple each to your first nine friends, and a basket with an apple to your tenth friend.
Each friend has an apple, and one of them has it in a basket. 
^{81.} He says the score at every football game, before it begins, is 00 
^{80.} 7638 
^{79.}
It's part of his job  he's a justice of the peace. 
^{78.} A frog. The frog is an amphibian in the order Anura (meaning "tailless") and usually makes noises at night during its mating season. 
^{77.} What the little girl finds on her paper is something that you often find on graded papers from your thirdgrade teacher. At the top of the page is a star.
If you draw a fivepointed star, just like the thirdgrade teacher put on her paper, and you put a tree at every intersection point and a tree at every vertex, you end up with five rows of four trees each. 
^{76.} bookkeeper 
^{75.} There are six. Most people skip the word "of" and only count three. 
^{74.} Tom 
^{73.} Since the bridge is 4 kilometers long, the halfway point would be 2 kilometers. The 18wheeler would have used much more than 30g of fuel to drive 2 kilometers. 
^{72.}
Asked the princess to touch his hand. 
^{71.} To complete this task, you need to know two pieces of information: the last two digits of your birth year, and the age you will turn this year.
Your birth year is easy just take the two digits off the end: for me, it's 82.
You probably know your own age, but if we're going to figure out how this works, we need to think about it in a different way. To find out your age knowing only the year you were born in and what year it is now, you could subtract your birth year from this year. Using my info, that'd be
2011  1982 = 29, which I can confirm is correct!
The thing is, we're only supposed to be using the last two digits of the year, so lets try
11  82.
That gives us a strange value: 71. But consider that the leading two digits of the years we're using are different: 20 and 19 respectively, and remember that this is because we're in different centuries: a century is 100 years, so add this on and what do we get? 29!
So to find out the age this year of anyone who was born during the previous century using only the last two digits of the year, we could do the following:
Age = 11  the last two digits of their birth year + 100.
This looks a bit clumsy, so I'm going to use the letter 'x' to represent 'the last two digits of their birth year':
Age = 11  x + 100.
Lets clean it up further: We start off with 11, take something from it, and then add on 100. Why not deal with those two numbers at the same time? If I start with 11 and then later add 100, I may as well start off with 111 in the first place:
Age = 111  x.
Right, that's the slightly complicated bit sorted. Lets put it all together:
The info we need: Last two digits of birth year: we're calling this x.
Age this year: we're saying this is 111  x What we have to do:
birth year + age;
Using the notation we've defined above, that's: x + 111  x But wait... we're starting off with whatever x is, then adding on 111, then takin!g x off again. Whatever x turns out to be, it doesn't really matter because we're just getting rid of it, leaving just
111 all by itself!
But due to the fact that twodigit years go in 100year cycles, anyone who's over 100 years old this year will find that they get an answer of 211 instead of 111!
Note from Karen: This answer was found on the web at www.mathsqs.blogspot.com. Hope you all understand it better that I! 
^{70.} 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. 
^{69.} They are triplets. 
^{68.} The next number in the sequence is 1113213211, because the rule for creating the next number is to simply describe the previous number. For example, you start off with 1, which is simply one 1, so the next number is 11. Now you have two 1's, so the next number is 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. 
^{67.} It was during the day. 
^{66. } The eye color of the reader of this problem. The first sentence is the key: "You are the bus driver." 
^{65. } CHASM, SMITHY, DISMAY, PLASMA, JASMINE 
^{64. } The old one was OUT OF DATE. The new one is DIFFERENT. 
^{63. }
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. 
^{62. }That that is, is: that that is not, is not. Is not that it? It is. 
^{61. }The number you were left with was 4 so how did we get there? You first think of a number, lets say for the sake of making it simple, the number 1. This number isn't important because we are going to remove it. You then doubled it to get the number 2. Next you added that number to the number 8, so now your number is 10. Next you halve 10 for a new number of 5 (which is 4 + 1). Now you take away the number you first thought of (1) thus leaving you with 4 (half of the number 8 you were given in step three. Converting that number into a letter yields the letter D. There are not many countries that begin D, and most people will think of Denmark. Taking the second letter of the country, if you thought of Denmark, gives you the letter E. Most people thinking of an animal beginning with E think of Elephant. Not foolproof, but fun to try out on friends! 
^{60. }U472BMT 
^{59. }The numbers are in alphabetical order.
(eight, five, four, nine, one, seven, six, ten, three, two, zero) 
^{58. }The following are possible combinations of two children:
Girl  Girl /
Girl  Boy /
Boy  Girl /
Boy  Boy
Since we know one of the children is a girl, we will drop the BoyBoy possibility from the sample space.
This leaves only three possibilities, one of which is two girls. Hence the probability is 1/3. 
^{57. }The question is "What is one plus one." The answer is...oh come on...take a guess :) 
^{56.} BERTH, BEGAN, KNEEL, SUITE, SQUAD, CHEWY, CELLO, PILOT, WIELD. The added letters spell TELESCOPE. 
^{55.}
This puzzle is usually attributed to Einstein, who may or may not have written it. The German owns the fish and the table below details the full answer:
Nationality 
Norwegian 
Dane 
Brit 
German 
Swede 
Color 
Yellow 
Blue 
Red 
Green 
White 
Beverage 
Water 
Tea 
Milk 
Coffee 
Beer 
Smokes 
Dunhill 
Blend 
Pall Mall 
Prince 
Blue Master 
Pet 
Cats 
Horses 
Birds 
Fish 
Dogs 

^{54.}
MARSHMALLOW 
^{53.} STANFORD > STAND FOR 
^{52.} DALLAS / FORT WORTH 
^{51.} sleeveless 
^{50.} OHIO 
^{49.} Take the goat to the other side. Go back, take cabbage, unload it on the other side where you load the goat back in the boat, go back to the other side and unload the goat. Take the wolf to the other side where you unload it. Go back for the goat. 
^{48.} Civil Engineer 
^{47.} GNUS + ELAND = NEW ZEALAND 
^{46.} Three days and two nights. She left yesterday and will return tomorrow. 
^{45.} Al Capone 
^{44.} belt and sock 
^{43.} At a loss for words 
^{42.} CARBON  COPY  CAT  CALL  CENTER  COURT  CASE  CLOSED  CIRCUIT 
^{41.}
2345 x 6 / 7 = 2010 
^{40.} Madagascar: Mazda, Gas, Car 
^{39.} None. Polar bears live at the north pole and penguins live at the south pole. 
^{38.} A manhole cover rests on a small lip inside the hole. A circular manhole cover typically will not fall into the hole because its width is the same all around.
A rectangular manhole cover, however, could fall through the hole when it is tipped upward. 
^{37.} 1. dog 2. gnu 3. monkey 4. beaver 5. bear 6. camel 7. cat 
^{36.} 1. Beehive State 2. Belmont Stakes 3. Bee Sting 4. Bering Strait 5. Ben Stiller 6. Bethlehem Steel 
^{35.} a) Putting the cart before the horse. b)
It takes two to tango. c) Get hot under the collar. d) Out of the frying pan and into the fire. 
^{34.} Originally, they paid $30, they each received back $1, they now have only paid $27. Of this $27, $25 went to the manager for the room and $2 went to the bellboy. 
^{33.}. Still 9 feet because the ladder will rise with the ship. (Source: www.brainbashers.com) 
^{32.}. TWENTYNINE (Source: The Ultimate Puzzle Site at
www.puzzle.dse.nl/index_us.html) 
^{31.}. Curb your dog 
^{30.}. Fraction, ratio 
^{29.}. Larry King, who is famous for marrying (he's been married eight times) 
^{28.}. RENAULT and NEUTRAL 
^{27.}.
Noriega = Iron Age 
^{26.}.MALCOLM X 
^{25.}.Finlanders,
Flanders 
^{24. }HEPTAGON and RAY. 
^{23. }New World region:
Yucatan. Old World region: Tuscany. 
^{22. }In the swing...In
the wings 
^{21. }Horse Sense 
^{20. }Passerby. You
pluralize it by adding "s" to make "passersby. 
^{19. }Postcard and
Podcast 
^{18. }Turbocharger 
^{17. }Time Limit 
^{16. }Diameter = meter
+ maid 
^{ 15.}Only, Lone, Sole 
^{14. }OCELOT/TOLEDO 
^{13. }Time Limit 
^{12. }cardinal and
alpaca 
^{11. }HELICOPTER 
^{10.} Atlantic City 
^{9.} Green Hornet + LA
= The Lone Ranger 
^{8.}
YES /
AYES 
^{7.} Hard Nut/Tundra 
^{6. }The numbers are 6,
7 and 11 or 5, 9, 10S 
^{5. }
STRAIGHTFORWARDNESS 
^{4. }Current Date 
^{3. }Will's best
answer has 7 "L's" containing these words: LILLY, ALOE, MILL, and
BALL. Coming down the row, they make LAMB, ILIA, LOLL and YELL.. 
^{2.} HIPPO, PORPOISE, SEAL,
ALLIGATOR, ORANGUTAN, ANTEATER, ERMINE 
^{1.} PATRIOT  TRAITOR. 