Traps (a.k.a. Brain Teasers)

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200. TH PRVRB

The following puzzle consists of a proverb with all its vowels removed. The remaining letters have been broken into groups of four. Put back the vowels to find the proverb.

     FLND HSMN YRSN PRTD.

Solution


199. IN THE MONEY

Your pockets are tearing from the weight of all the coins in them. After you unload them onto the kitchen table, you discover something surprising. You have exactly the same number of pennies, nickels, dimes, and quarters, totaling $6.15. How many of each coin do you have?

Solution


198. THE SWIMSUIT EDITION

Three women are wearing bathing suits. Two are smiling, but they're sad; one is crying, but she's happy. Who are they?

Solution


197. SWEATHOG CENTRAL

Barbarino, Epstein, Horshack, and Washington are still in Buchanan High School, but now they have access to computers. Their Sweathog Communications System, or SCS, involves sending eMail back and forth between their computers. EMail travels from one computer directly to another computer only as follows:

From Barbarino to Epstein
From Barbarino to Horshack
From Barbarino to Washington
From Washington to Barbarino
From Epstein to Horshack
From Horshack to Epstein
From Epstein to Washington
From Washington to Horshack

1. If a piece of eMail is to travel from Horshack to Epstein with as few stops as possible, it must travel in which one of the following ways?

(A) Directly from Horshack to Epstein
(B) Via Barbarino but no other computer terminal
(C) Via Washington but no other computer terminal
(D) Via Barbarino and Washington, in that order
(E) Via Washington and Barbarino, in that order

2. Which one of the following lists all of the computers to which a piece of eMail can be sent directly from Washington?

(A) Barbarino
(B) Horshack
(C) Barbarino, Horshack
(D) Epstein, Horshack
(E) Barbarino, Epstein, Horshack

3. Which one of the following describes a way in which a piece of eMail could travel from Epstein back to Epstein?

(A) From Epstein to Barbarino, from Barbarino to Epstein
(B) From Epstein to Horshack, from Horshack to Barbarino,
   from Barbarino to Washington, from Washington to Epstein
(C) From Epstein to Horshack, from Horshack to Washington,
   from Washington to Barbarino, from Barbarino to Epstein
(D) From Epstein to Washington, from Washington to Barbarino,
   from Barbarino to Horshack, from Horshack to Epstein
(E) From Epstein to Washington, from Washington to Horshack,
   from Horshack to Barbarino, from Barbarino to Epstein

4. If all of the routes in the SCS are equal in length, and if eMail always travels along the shortest possible route, then the longest route any piece of eMail can travel in the SCS is the route from

(A) Epstein to Barbarino
(B) Horshack to Barbarino
(C) Horshack to Washington
(D) Washington to Barbarino
(E) Washington to Epstein

Solution


196. THEFT AT THE CHRISTMAS FAIR

A cart pulled by a huffalon and loaded with decorated duplgoose eggs for the village Christmas Fair was taken by a thief while the proprietor was busy setting up his sales booth. The stolen property was subsequently recovered, and there are three suspects. They each make assertions below, but no one of them makes all true statements.

A: 1. B is innocent.
   2. Everything C will say is false.
   3. I am not guilty.

B: 1. I did not do it.
   2. C was in the village when it happened.
   3. A's second statement is false.

C: 1. A is the thief.
   2. I was not even near the village when it happened.
   3. I am innocent.

One of the three is guilty, but which one?

Solution


195. THE POLITICAL ROUND TABLE

A woman recently hosted a political meeting to which she invited five guests. The names of the six people who sat down at the circular table were Abrams, Baxter, Clive, Dumont, Ekwall, and Fish. One of them was deaf, one was very talkative, one was terribly fat, one simply hated Dumont, one had a vitamin deficiency, and one was the hostess.

The person who hated Dumont sat directly opposite Baxter. The deaf one sat opposite Clive, who sat between the one who had a vitamin deficiency and the one who hated Dumont. The fat one sat opposite Abrams, next to the deaf person and to the left of the one who hated Dumont. The person who had a vitamin deficiency sat between Clive and the one who sat opposite the person who hated Dumont. Fish, who was a good friend of everyone, sat next to the fat person and opposite the hostess.

Identify these six people.

Solution


194. THE APPLE BASKET

Farmer Sy Corncrib brought a basket of apples into his kitchen and had his six sons line up. The basket contained six apples. After he divided them equally among his sons, one apple was left in the basket. He did not cut or smash up any of the apples. How did he do it?

Solution


193. THE TURKEY FARM

A farmer decided to raise turkeys and goats. Here is a conversation he had with a friend.

Friend: "How many turkeys and how many goats do you have?"
Farmer: "I have 30 heads and 100 feet."
Friend: "I can't tell from that!"
Farmer: "Oh, yes, you can!"

How many turkeys and how many goats does the farmer have?

Solution


192. THREE PAIR

Five letters can be rearranged for each pair of words below to match the two definitions. A different set of five letters is used for each line.

To toss; the value of
To perch; part of the human body
One who looks; feed on meadow grass, etc.

Solution


191. THE PROFESSOR'S AGE

It's difficult being called on unexpectedly in class, but Professor Jones decided to do it to wake up his sleeping students. "I don't mind if you know my age," he said. "It's in all the directories, and I can assume the approximate age of one of you. No written homework tonight for the first person who can solve this: If you subtract one age from mine, you'll get 44, but if you multiply them together, you'll get 1280."

It took Tom fifteen seconds, because he tried his age in the problem, and it was right. How old were Tom and the professor?

Solution


190. HOW OLD IS CRESSIDA?

Cressida didn't like to tell her age, so when she was asked, her mother answered for her. Her mother said, "I'm just seven times as old as she is now. In twenty years, she'll be just half the age that I will be then."

How old is clever little Cressida?

Solution


189. PUPPIES

A dog had three puppies, names Mopsy, Topsy, and Spot. What was the mother's name.

Solution


188. THE CONTRACT

Stephen was about to leave the country but wanted to hand some important documents to his partner, Dave, personally on his way to the airport. When he phoned, Stephen got Dave's answering machine, but knowing Dave was in the habit of checking for messages at regular intervals he said, "Dave, this is important! I have the Duplex Corporation contract which must be exchanged this afternoon. Please meet me without fail in exactly forty minutes at the corner of 5th Avenue and 55th Street. I can only wait for five minutes, but it's all I need to hand you the papers and give you verbal instructions of a highly confidential nature. Thank you." At that moment the limousine arrived to take Stephen to JFK Airport.

The car arrived at the designated corner with three minutes to spare. Stephen had the car wait, confident that Dave would arrive at any moment. After ten minutes, when Dave did not turn up, Stephen was forced to continue to the airport even though an important deal was in jeopardy. Why did Dave, who had, incidentally, heard the message in good time and was not physically prevented, not meet his partner?

Solution


187. THE CHASE

I am chasing someone who started out 10 miles ahead of me, but I am running one mile an hour faster than the fugitive. How far would my dog run if she ran back and forth between us at a rate of 10 miles an hour?

Solution


186. LET THEM EAT CAKE

It was a warm Sunday during a long sermon in church. A man was dozing beside his wife and dreaming that he lived at the time of the French Revolution and had been sentenced to death by guillotine. As the blade was falling, his wife noticed he was asleep and touched him on the back of the neck, right at the spot where the blade would have struck. The man died instantly.

Why can.t this story be true?

Solution


185. THE QUICK TREE

A man wants to grow a tree very quickly. He buys some special seeds that double in height every day. On the tenth day, the tree is twenty feet high. On what day was it five feet high?

Solution


184. A RAISE

Which is better: One raise per year of $2,000 or a raise of $500 every six months for an indefinite time? Why?

Solution


183. BOTTOM OF THE SEVENTH

The score of a baseball game is five to four in favor of the home team. It is the last of the seventh inning and not one man on either side has even reached second base. Can you explain why?

Solution


182. MEN OR WOMEN?

An explorer is in a strange land where the men always tell the truth and the women always lie. He meets three natives but cannot tell their sex by their appearance or voice, so he asks them.

The first one replies, but the explorer doesn.t hear the answer.

The second one makes the following three statements:
   1. "The first person said, 'I am a man.'"
   2. "The first person is a woman."
   3. "I am a man."

The third one makes these two statements:
   1. "The second person is a woman."
   2. "I am a man."

Which are men and which are women?

Solution


181. FIVE MENSA MEMBERS

Five female Mensa members--Alex, Beth, Claire, Dot, and Erin--are sitting at the bar discussing whose turn it is to buy the next round. Alex is sitting closer to Beth than Claire is to Alex. Dot is sitting between Beth and Alex but not necessarily adjacent to either of them. Claire is seated on Erin's right but Beth is not seated next to Erin.

From left to right, in what order are they seated?

Solution


180. THE BUS DRIVER

You are a bus driver. As you start your route, you pick up 3 passengers on 4th Street, go 6 blocks to 10th Street and pick up 5 and drop off 2 passengers. You go 5 more blocks and drop off 4 passengers. You've lost count and think your bus is empty as you head back to the station.

What is your name?

Solution


179. X MINUS A

Evaluate the expression (x-a)(x-b)(x-c)...(x-z).

Solution


178. FIVE-LETTER WORDS

The following is a sample of a long list of five-letter words with a common trait. There are also six-letter (and longer) words that share it. What is the trait?

aloneozonepricespace
braidphonescarespear
chairstonescoldspill
crashplacescorespray
crateplaidshallstale
grantplatesnailstart

Solution


177. ALASKA RAILROAD

A train was leaving Fairbanks for Seward, on the southern coast of Alaska, at the same time as a Ford Explorer. The driver of the Explorer was unaware that both of the front tires had slow punctures, and by the time the vehicle arrived in Anchorage those tires were already completely flat. Although the driver did not change or have the tires repaired, the Explorer reached Seward at the same time as the train. Explain.

Solution


176. HEXAGON

You have six identical coins arranged thusly:
1coin 2coin 3coin
4coin 5coin 6coin

Move two coins so that the resultant pattern is a hexagon.

Solution


175. SERIES

What is the next word in this series:
BUGLES   UNREST   GROTTO   LETTER   ESTEEM

Solution


174. KLONDIKE 5-1212

See if you can make names out of the following phone numbers by using their corresponding letter equivalents. For example, "287-2265" would be BURBANK (aBc-tUv-pRs-aBc-Abc-mNo-jKl).

American Cities Presidents Entertainers
675-2636254-6866278-2473
732-8853546-2656687-3938
639-9675536-6339437-2876
244-2246623-4766232-8537
468-7866564-6766336-4553
785-6847522-5766242-7546
285-2682427-3464427-5263
ArtistsScienceLiterature
742-2776728-5464743-5539
826-4644727-8387253-6367
328-4624425-4536353-6464

Solution


173. CRYPTOGRAPHY

See if you can decipher this statement:

    When cryptography is outlawed, bayl bhgynjf jvyy unir cevinpl.

Solution


172. CROSSING THE BRIDGE

There are 4 men who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of 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, etc. Each man walks at a different speed. A pair must walk together at a rate of the slower man's pace.

   Man 1:  1 minute to cross.
   Man 2:  2 minutes to cross.
   Man 3:  5 minutes to cross.
   Man 4: 10 minutes to cross.

For example, if Man 1 and Man 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Man 4 returns with the flashlight, a total of 20 minutes have passed, and you have failed the mission.

Solution


171. TWO JARS

You have two jars. One holds 7 qts. and one holds 3 qts. (no graduations on jars). Describe a sequence of fillings and emptyings that would result in one jar holding 5 qts. of water.

Solution


170. DIG IT, MAN

If it takes a man one hour to dig a hole two meters long, two meters wide, and two meters deep, how long would it take the same man to dig a hole four meters long, four meters wide, and four meters deep, assuming he digs at the same rate of speed?

Solution


169. NY - WASH

Bob leaves New York city by car, and travels to Washington at 60mph. Tom leaves Washington by car, and travels to New York city at 30mph. When they meet, who is closest to New York City?

Solution


168. DOT

Dot likes pots and pans but not cooks. She likes straw but not hay; she likes sagas but not poems. Does she like a star or a planet?

(Extra help: She also likes to gulp but not to swallow; she likes ten but not eleven. She likes things that are bad, but not naughty.)

Solution


167. FOUR WOMEN

Alice, Betty, Carol, and Dorothy were a lifeguard, a lawyer, a pilot, or a professor. Each wore a white, yellow, pink, or blue dress.

The lifeguard beat Betty at canasta, and Carol and the pilot often played bridge with the women in pink and blue dresses. Alice and the professor envied the woman in the blue dress, but this was not the lawyer, as she always wore a white dress.

What was each woman's occupation and dress color?

Solution


166. A CHANGE OF PLAN

Doug was putting up a fence at the end of the yard.

"You planned to have the posts five feet apart, so you told me," said Linda, coming out to watch. "But you've got them more than that."

"I didn't think you'd notice," Doug chuckled. "But I found I was four posts short, so they had to be seven feet apart to do the same job."

How long was his fence to be?

Solution


165. U.S.S. EXTRAVAGANTIC

The U.S.S. Extravagantic celebrated its maiden voyage in 1922 by taking a three-month cruise around the world. The lucky passengers visited dozens of famous cities along the way. We've scrambled the names of twelve of them to give you the opportunity to join in the fun. Let's see if you can unscramble them before it's time to disembark.

  1. TCLTUACA
  2. RZIBRTIA
  3. OULHNULO
  4. TENAWCOP
  5. YVRIKEKAJ
  6. GESPRIANO
  7. ORNONAG
  8. SSRFACONCAIN
  9. NKGNGHOO
  10. TRHMUPTOOS
  11. LENUMEOBR
  12. BNACSAALAC

Solution


164. OFFSPRING

Name the offspring of:

  1. Mr. & Mrs. Voyant
  2. Mr. & Mrs. Tress
  3. Mr. & Mrs. Nasium
  4. Mr. & Mrs. Tate
  5. Mr. & Mrs. Fi
  6. Mr. & Mrs. Itosis
  7. Mr. & Mrs. Anthemum
  8. Mr. & Mrs. Mander
  9. Mr. & Mrs. Mite

Solution


163. THE TAXI

A man hires a taxi to meet him at the railroad station at 3 p.m. to take him to an appointment. He catches an earlier train and arrives at 2 p.m. He decides to start walking, and is picked up en route by the taxi. He arrives twenty minutes early for his appointment. How long did he walk?

Solution


162. SPRING IN THE MOUNTAINS

A hiker, during a vacation, discovered the bodies of a middle-aged couple, holding hands, in a remote field near the Austrian village of St. Anton. Suicide was ruled out, there was no visible evidence of cause of death that would indicate murder, nor was any poison found on medical examination.
How did the couple die?

Solution


161. FRACTIONS OF CANDIES

"Let's have some!" The kids crowded around Betty as she checked the candies. "Okay, but I'll have a few myself," she told them. "It's by age. A third of them for Bill, a quarter for Eve, a fifth for Linda, and a sixth for Bruce. That leaves just six for me." How many were there in all? (Note: Based on a problem written 1,400 years ago by the great Indian mathematician Brahmagupta.)

Solution


160. 3 NURSERY RHYMES

Can you decipher these famous nursery rhymes?

1. A female of the Homo sapiens species was the possessor of a small immature ruminant of the genus Ovis, whose outermost covering reflected all wavelengths of visible light with a luminosity equal to that of a mass of naturally occurring microscopically crystalline water. Regardless of the translational pathway chosen by the Homo sapiens female, there was a 100% probability that the aforementioned ruminant would select the same pathway.

2. A research team proceeded toward the apex of a natural geologic protuberance, the purpose of their expedition being the procurement of a sample of fluid hydride of oxygen in a vessel, the exact size of which was unspecified. One member of the team precipitously descended, sustaining severe damage to the upper cranial portion of his anatomical structure; subsequently the second member of the team performed a self-rotational translation oriented in the direction taken by the first team member.

3. A geriatric female proceeded to a storage compartment for the purpose of procuring a fragment of osseous tissue from an unidentified deceased specimen to transfer to an indigent carnivorous domesticated mammal, Canis familiaris, family Canidae. Upon arrival at her destination, she found the storage compartment in denuded condition, with the consequence that the indigent carnivore was deprived of the intended donation.

Solution


159. EQUALS 100

1 2 3 4 5 6 7 8 9

Write down the digits 1 through 9 in the order shown above. Insert two minus signs and one plus sign between certain of the digits so that the result will be a mathematical expression equal to 100.

Solution


158. PARTS OF THE BODY

Answer the following with parts of the body (no slang).
Example: Heard in Congress while voting
Answer: Eyes and nose

1. A strong box
2. Two baby cows
3. A shellfish
4. Two measures
5. Two places of worship
6. Scholars
7. Part of a shoe
8. What every builder must have
9. Something made by whips
10. What the soldier carries

Solution


157. SCRAMBLED

Unscramble these letters and make one word from them, using all letters once:

O E R W N D O

Solution


156. THE EXPLORERS

Two field workers were sent from a base to explore a mineral find in a remote area. They were about to collect samples when they were attacked by vicious animals. They immediately stopped working to return to the safety of their home base. One of the explorers withdrew extremely slowly, keeping a watchful eye on the animals. The other panicked and fled at great speed. Although the panicked explorer escaped being attacked, he died as soon as he reached the base, while his colleague survived.
Explain.

Solution


155. RAISING TURKEYS

Gus and Joe are raising turkeys. Gus said that if Joe would give him two turkeys they would have an equal number, but if Gus gave Joe two of his, Joe would have twice as many as Gus. How many turkeys did they each have?

Solution


154. SID'S ESCAPE

Sid Shady is in prison and is planning his escape. The cell he is in measuresthree meters by three meters by three meters. The walls are made of reinforced concrete and they extend two meters below the dirt floor. The only openings in the cell are a locked door and a skylight one meter in diameter. Sid thinks he has found a way to escape so he begins by digging a tunnel. He knows that he can't tunnel himself out, but digging a tunnel is crucial for his plan. How does he plan to escape?

Solution


153. TOO MUCH CHANGE

Your pockets are tearing from the weight of all the coins in them. After you unload them onto the kitchen table, you discover something surprising. You have exactly the same number of pennies, nickels, dimes, and quarters, totaling $6.15. How many of each coin do you have?

Solution


152. DOLLARS FOR CENTS

I went to the bank to cash a check. By mistake, the teller gave me dollars instead of cents and cents instead of dollars, which I didn't notice. On the way out, I spent a nickel at a gum machine. When I returned home, I found I had exactly twice the amount of the check. Can you calculate the exact amount of the check I cashed?

Solution


151. LYING TENANTS

Say that 123 people live in an apartment building. Some of the tenants always tell the truth to people who do surveys, and the others always lie. Each tenant has a favorite restaurant across the street and always orders food from it: a pizza parlor, a hamburger joint, and a barbecue place.

One day, a woman doing a market survey phoned all the tenants and asked each:
1) Is the pizza parlor your favorite?
2) Is the hamburger joint your favorite?
3) Is the barbecue place your favorite?

She tallied the following results:
1) 45 people answered "yes."
2) 67 people answered "yes."
3) 89 people answered "yes."

Of the 123 tenants, how many were liars?

Solution


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