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San_Teaser2 Teasers With Answers Teaser 2 A man goes into a fancy restaurant on the top floor of a high rise. He orders the Albatross soup. After he takes one bite, he jumps out the window and kills himself. Why? scroll down for answer! The Answer! The man, the man's wife, and one other guy survived a ship wreck. The three people were marooned on a desert island for a long time. They survived on the bits of food they could find. One day the other guy says he will make dinner for everybody. The man comes to dinner, but he could not find his wife. The man enjoyed the dinner so much he asked the other guy what it was. The other guy said it was Albatross. Eventually the two men are rescued and the man was very sad that he never found his wife. When the man gets back to civilization, he goes into a restaurant and orders Albatross. When he tastes the food the waiter brings he realizes file:///E|/temp/Puzzles/Puzzles/BTWA2.html (1 of 2) [3/31/03 11:39:33 AM] San_Teaser2 that he has never eaten Albatross in his life. At that moment he knows that he ate his wife on the desert island. Then he jumps out the window and kills himself. Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA2.html (2 of 2) [3/31/03 11:39:33 AM] San_Teaser3 Teasers With Answers Teaser 3 A rich old Arab has three sons. When he died, he willed his 17 camels to the sons, to be divided as follows: First Son to get 1/2 of the camels Second Son to get 1/3rd of the camels Third Son to get 1/9th of the camels. The sons are sitting there trying to figure out how this can possibly be done, when a very old wise man goes riding by. They stop him and ask him to help them solve their problem. Without hesitation he divides the camels properly and continues riding on his way. How did he do it? The Answer! The old man temporarily added his camel to the 17, making a total of 18 camels. 1/2 = 9 1/3 = 6 1/9 = 2 for a total of 17. He then takes his camel back and rides away...... file:///E|/temp/Puzzles/Puzzles/BTWA3.html (1 of 2) [3/31/03 11:39:38 AM] San_Teaser3 Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA3.html (2 of 2) [3/31/03 11:39:38 AM] San_Teaser4 Teasers With Answers Teaser 4 An old parchment describes the location of buried treasure thus: "On the island there are only two trees, A and B, and the remains of a gallows. Start at the gallows and count the steps required to walk in a straight line to tree A. At the tree turn 90 degrees to the left and then walk forward the same number of steps. At the point where you top drive a spike into the ground. Now return to the gallows and walk in a straight line, counting your steps, to tree B. When you reach the tree, turn 90 degrees to the right and take the same number of steps forward, placing another spike at the point where you stop. Dig at the point exactly halfway between the spikes and you will find the treasure." However, our hero when he gets to the island finds the gallows missing. Is there any way he can still get to the treasure? scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA4.html (1 of 3) [3/31/03 11:39:46 AM] San_Teaser4 A simple experiment with a ruler and paper shows that any position for the gallows leads to the same point. However, it can be proven with a bit of vector algebra... (best viewed with fixed width font) Define a square grid with its origin at tree A (herein point A) tree B at (0,1). Gallows G exist at arbitrary point (x,y). The walk from G -> A == (-x,-y) The walk from G -> B == (-x,-y+1) Let A* denote the position after turning left at tree A, and B* denote the position reached after turning right at tree B. The walk from A -> A* == (+y,-x) The walk from B -> B* == (-y+1,x) (not entirely obvious, but true!) The walk from G -> A* == (G -> A) + (A -> A*) == (-x+y , -x-y ) The walk from G -> B* == (G -> B) + (B -> B*) == (-x-y+1 , x-y+1) The walk from A* -> B* == (G -> B*) - (G -> A*) == (-x-y+1+x-y , x-y+1+x+y ) == (1-2y , 1+2x) Now, the walk to the treasure is (A->A*) + .5(A*->B*) since the treasure is half way from A* to B* == (+y,-x) + .5(1-2y , 1+2x) == (+y+.5-y , -x+.5+x) == (.5,.5) file:///E|/temp/Puzzles/Puzzles/BTWA4.html (2 of 3) [3/31/03 11:39:46 AM] San_Teaser4 So stand at A, walk half way to B, turn RIGHT and walk the same distance straight ahead. Get digging..... Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA4.html (3 of 3) [3/31/03 11:39:46 AM] San_Teaser6 Teasers With Answers Teaser 6 How much dirt is in a hole that is 3 ft deep, and 6 inches in diameter? scroll down for answer! The Answer! None. A hole only has air in it, no dirt. Sorry that was an easy one! Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA6.html [3/31/03 11:39:50 AM] San_Teaser8 Teasers With Answers Teaser 8 Two boxers are in a boxing match (regular boxing, not kick boxing). The fight is scheduled for 12 rounds but ends after 6 rounds, after one boxer knocks out the other boxer. Yet no man throws a punch. How is this possible? The Answer! They are female boxers. Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA8.html [3/31/03 11:39:53 AM] San_Teaser9 Teasers With Answers Teaser 9 In 1990, a person is 15 years old. In 1995 that same person is 10 years old. How is this possible? Yesterdays Solution The Answer! The dates are in BC . Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA9.html [3/31/03 11:39:55 AM] San_Teaser10 Teasers With Answers Teaser 10 There are 3 black hats and 2 white hats in a box. Three men (we will call them A, B, & C) each reach into the box and place one of the hats on his own head. They cannot see what color hat they have chosen. The men are situated in a way that A can see the hats on B & C's heads, B can only see the hat on C's head and C cannot see any hats. When A is asked if he knows the color of the hat he is wearing, he says no. When B is asked if he knows the color of the hat he is wearing he says no. When C is asked if he knows the color of the hat he is wearing he says yes and he is correct. What color hat and how can this be? There is no play on words and there are no tricks. If I used had instead of has it is purely accidental. scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA10.html (1 of 2) [3/31/03 11:39:58 AM] San_Teaser10 A must not see two white hats on B & C, or he would know his own must be black. So his answer establishes that at least one of the hats on B & C is black. If B saw that C was wearing a white hat, then B would know his own was black. Since B could not say that truthfully, then C must be wearing black and he answers so correctly. Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA10.html (2 of 2) [3/31/03 11:39:58 AM] San_Teaser11 Teasers With Answers Teaser 11 A census taker approaches a house and asks the woman who answers the door,"How many children do you have, and what are their ages?" Woman: "I have three children, the product of their ages are 36, the sum of their ages are equal to the address of the house next door." The census taker walks next door, comes back and says, "I need more information." The woman replies, "I have to go, my oldest child is sleeping upstairs." Census taker: "Thank you, I have everything I need." Question: What are the ages of each of the three children? scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA11.html (1 of 2) [3/31/03 11:40:02 AM] San_Teaser11 The Reason the census taker could not figure out the childrens ages is because, even with knowing the number on the house next door there were still two possibilities. The only way that the product could be 36 and still leave two possibilities is if the sum equals 13. These possibilities being 9+2+2 and 6+6+1. When the home owner stated that her "Oldest" child is sleeping she was giving ths census taker the fact that there is an "oldest." The childrens ages are 9,2, &2. Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA11.html (2 of 2) [3/31/03 11:40:02 AM] San_Teaser12 Teasers With Answers Teaser 12 A man has recently escaped from prison and is making his way home on foot. He is walking along a straight rural country lane in bright daylight. He has walked about two miles from the prison, when he sees a police car coming toward him. Despite knowing that all squads would be out looking for him, he ran towards the car for a short while, and only when he was about ten feet away, did he turn and run into the woods to hide. Why did he run towards the police car? scroll down for answer! The Answer! The man is on a bridge when he spots the police car. He's more than halfway across, so the quickest way off the bridge is to run forward. Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA12.html (1 of 2) [3/31/03 11:40:05 AM] San_Teaser12 file:///E|/temp/Puzzles/Puzzles/BTWA12.html (2 of 2) [3/31/03 11:40:05 AM] San_Teaser13 Teasers With Answers Teaser 13 A heavy truck reaches the edge of a desert which is 400 km wide. It must cross this region, but the vehicle averages only 1 km per litre of fuel, and the total fuel capacity (including extra containers) is only 180 litres, so fuel dumps must be established in the desert in order to make it across. There's plenty of fuel available at the edge of the desert, and you can set up as many fuel dumps as you like. But with proper forethought, what is the least amount of fuel required for the truck to reach the other side? (Forewarned is half an octopus - this is not quite as easy as it might seem to be... unless you approach it from the right direction.) scroll down for answer! The Answer! The "easy" (ha!) way to solve this problem is to work it backwards. A diagram would help, but that would make my explanation more difficult, so activate your imaginations. file:///E|/temp/Puzzles/Puzzles/BTWA13.html (1 of 3) [3/31/03 11:40:11 AM] San_Teaser13 Consider the greatest distance our truck can travel before all fuel is used: it's 180 km. (1 unit fuel (litre) = 1 unit distance (km)) The optimum solution will have the truck using its last dribble of fuel as it arrives at its destination. Therefore, the last leg will be 180 km. This means that the last (Z) fuel dump must contain sufficient fuel from previous trips plus what's onboard at the last trip to equal 180. In order to get 180 units of fuel to Z, at least 2 other trips are required from some prior dump location. It is safe to assume that the truck made one round trip starting with a full load and returned empty, and that it also made a final one-way trip starting with another full load of 180. (And we don't need to be warp-space scientists to figure out that at least one (hmmm..., why's that, Lem?) additional trip was necessary. In order to cache 180 total units of fuel at this site, the truck used an additional 180 units for travel in three trips, each of which was 60 km. (180/3) This requires that the quantity of fuel at the previous Dump Location = 360. (I'd like to think that there are many mental light bulbs popping on out there... "Oh. Sure. That means...") Moving right along (in a reverse direction, of course,) the previous dump must have had enough fuel cached plus enough for the travel to z-1. Using the same method, this requires five trips minimum. We're limited by that 180 fuel capacity, remember, so the further back we go, the shorter will be the distances and the more numerous will be the trips between fuel dumps. Hence, the distance to Dump z-2 is 180/5 = 36 km. See the pattern yet? Working backwards, we've traveled 180*1 + 60*3 + 36*5... The method of solution was the real puzzle, not the actual answer. file:///E|/temp/Puzzles/Puzzles/BTWA13.html (2 of 3) [3/31/03 11:40:11 AM] San_Teaser13 Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA13.html (3 of 3) [3/31/03 11:40:11 AM] San_Teaser14 Teasers With Answers Teaser 13 Two men were being tried for murder. The jury found one man guilty and the other innocent. The judge turned to the guilty man and said, "Even though your guilt has been established, the law compels me to set you free." How could such a bizarre judgement occur? scroll down for answer! The Answer! They were siamese twins! Click below for: file:///E|/temp/Puzzles/Puzzles/BTWA14.html [3/31/03 11:40:15 AM] San_Teaser15 Teasers With Answers Teaser 15 If there are fifteen crows on a fence and the farmer shoots a third of them, how many are left? (source: Carmen Green, 9th grader living in Arizona) scroll down for answer! The Answer! Zero crows are left. The crows all flew away when they heard the farmer shooting his gun. Click below for: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA15.html [3/31/03 11:40:20 AM] San_Teaser16 Teasers With Answers Teaser 16 Four blindfolded girls were each given an identical box, containing different colored balls. One contained 3 black balls; one contained 2 black balls and 1 white ball; one contained 1 black ball and 2 white balls; and the fourth contained 3 white balls. Each box had a label on it reading "Three Black" or "Two Black, One White" or "One Black, Two White" or "Three White." The girls were told that none of the four labels correctly discribed the contents of the box to which it was attached. Each girl was told, in turn, to draw 2 balls from her box, at which point her blindfold was removed so that she could see the 2 balls in her hand and the label on the box assigned to her. She was given the task of trying to guess the color of the ball remaining in her box. As each girl drew balls from her box, their colors were announced for all the girls to hear; but the girls cold not see the the labels on any other box other than their own. The first girl, having drawn 2 black balls, announced: "I know the color of the third ball." The second girl drew 1 white and 1 black ball, and similarly stated: "I know the color of the third ball." The third girl withdrew 2 white balls, looked at her label, and said: "I can't tell the color of the third ball." Finally, the fourth girl declared: " I don't need to remove my blindfold or any balls from my box, and yet I know the color of all three. What's more, I know the color of the third ball in each of your boxes as well." The first three girls were amazed by the fourth girl's assertion and promptly challenged her. She proceeded to indentify the contents of each box correctly. How? file:///E|/temp/Puzzles/Puzzles/BTWA16.html (1 of 3) [3/31/03 11:40:23 AM] San_Teaser16 scroll down for answer! The Answer! Once a girl removed 2 balls from her box, she narrowed the possible combinations in her box to 2. If she was able to deduce the color of the third ball, it must have been because the label on her box showed one of the two possible combinations, forcing the actual contents to be the other combination- remember, all the boxes were incorrectly labeled. The first girl's box contained either BBB or WBB, and it's label must have read either WBB or BBB for her to have guessed the color of the third ball. Similarly, the second girl's box must have contained either WBB or WBW, with it's label reading either WBW or WBB. The third girl's box must have contained either WWW or WBW- but her box couldn't be labled with either of these, otherwise she, too, would have been able to deduce the color of her third ball. The only distribution satisfying all these conditions is: GIRL 1 2 3 4 LABEL WBB WBW BBB ACTUAL BBB WBB ? The fourth girl instantly realized that her box must have been labeled WWW; since it could not actually contained WWW, the third girl's box must have contained that combination, leaving her (fourth girl's) box to contain WBW. file:///E|/temp/Puzzles/Puzzles/BTWA16.html (2 of 3) [3/31/03 11:40:23 AM] San_Teaser16 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA16.html (3 of 3) [3/31/03 11:40:23 AM] San_Teaser17 Teasers With Answers Teaser 17 Here is a rather simple question with a "yes" or "no" answer. It just happens to be phrased in a roundabout way, but that shouldn't disturb you if you can find a way to reduce it to it's fundamentals. This can be done in three steps, leading to your rephrasing the question in such simple terms that the answer is immedeately apparent. Now go ahead. "If the puzzle you solved before you solved the puzzle you solved after you solved the puzzle you solved before you solved this one, was harder than the puzzle you solved after you solved the puzzle you solved before you solve this one, was the puzzle you solved before you solved this one harder than this one?" Yes or no?? scroll down for answer! The Answer! (1) The one you did after the one you did before this one IS this one. In other file:///E|/temp/Puzzles/Puzzles/BTWA17.html (1 of 2) [3/31/03 11:40:27 AM] San_Teaser17 words: (2)"....the puzzle you solved after you solved the puzzle you solved before you solved this one" IS this one. (3) Hence the question may be rephrased this way: "If the puzzle you solved before this one was harder than THIS ONE, was the puzzle you solved before this one harder than THIS ONE?" (4) The answer to this question is obviously YES. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA17.html (2 of 2) [3/31/03 11:40:27 AM] San_Teaser18 Teasers With Answers Teaser 18 You are ill and travelling down a road to the hospital. You reach a fork in the road and find a pair of identical twin boys standing there. One of the twins always tells the truth and the other twin always lies. You are allowed to direct only one question to one of the twins, and as such you will be assured of the correct road to the hospital. What is your question and to whom? scroll down for answer! The Answer! You ask either of the twins "If I asked your twin which path to take to get to the hospital, which way would he tell me to go?" And then I would go in the opposite path of the one I'm told. Because: 1) If I'm talking to the truth telling twin, then he will tell me what his twin would say, which would be a lie. So the direction indicated would be wrong. file:///E|/temp/Puzzles/Puzzles/BTWA18.html (1 of 2) [3/31/03 11:40:30 AM] San_Teaser18 2) If I'm talking to the lying twin, then he would lie about what his twin would say, which would be the truth. So the lying twin would still indicate the wrong path. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA18.html (2 of 2) [3/31/03 11:40:30 AM] San_Teaser19 Teasers With Answers Teaser 19 The owner of the local bank found a $50 bill lying in the gutter; he picked it up and made a note of its serial number. Later that day his wife mentioned that they owed the butcher $50, so the banker used the bill he'd found to settle up with the butcher. The butcher used it to pay a farmer; the farmer in turned used it to pay his feedstock supplier; and the feedstock supplier used it to pay his laundry bill. The laundryman used it to pay off his $50 overdraft at the local bank. The banker recognized the bill as being the one he had found in the gutter, but als noticed, on closer examination, that it was a fake. By now, it had been used to settle $250 worth of debts. What was lost? scroll down for answer! The Answer! Since the counterfeit note was used in every transaction, they are file:///E|/temp/Puzzles/Puzzles/BTWA19.html (1 of 2) [3/31/03 11:40:34 AM] San_Teaser19 all invalid. Therefore, everybody stands in the same position to his/her creditor as before the banker picked up the counterfeit note. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA19.html (2 of 2) [3/31/03 11:40:34 AM] San_Teaser20 Teasers With Answers Teaser 20 The following is an easy type of substitution cryptogram (each letter standing for a different letter--the same substitution each time). UR UA NYXG RII GIR RI SI RGWAW RGUBFA EUFGR BIQ a result of this series of transactions, and by whom? scroll down for answer! The Answer! IT IS MUCH TOO HOT TO DO THESE THINGS RIGHT NOW! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA20.html (1 of 2) [3/31/03 11:40:38 AM] San_Teaser20 file:///E|/temp/Puzzles/Puzzles/BTWA20.html (2 of 2) [3/31/03 11:40:38 AM] San_Teaser23 Teasers With Answers Teaser 23 How many common four letter English words can you make from the letters EANM using all the letters in each word? scroll down for answer! The Answer! MANE,MEAN,AMEN, and NAME Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA23.html [3/31/03 11:40:42 AM] San_Teaser24 Teasers With Answers Teaser 24 Jill offered Jack the following bet: she said she would toss 3 pennies in the air, and if they fell all heads or all tails she would give him $1. If they fell any other way, he had to give her 50 cents. Should Jack accept? scroll down for answer! The Answer! NO! It would be very unwise of Jack to accept the bet. To find the chances that the 3 coins will fall alike or not alike, consider all the possible ways that the 3 coins can fall, as follows: 1:HHH 2:HHT 3:HTH 4:HTT file:///E|/temp/Puzzles/Puzzles/BTWA24.html (1 of 2) [3/31/03 11:40:45 AM] San_Teaser24 5:THH 6:THT 7:TTH 8:TTT Each of the 8 possibilities is equally likely to occur. Note that only 2 of them show all the coins alike. this means that the chances of all 3 coins being alike are 2 out of 8, or one quarter. There are 6 ways that the coins can fall without being all alike. Therefore the chances that this will happen are three-quarters. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA24.html (2 of 2) [3/31/03 11:40:45 AM] San_Teaser25 Teasers With Answers Teaser 25 A bank customer had $100 in his account. He then made 6 withdrawals, totaling $100. He kept a record of these withdrawals, and the balance remaining in the account, as follows: Withdrawals Balance left $50 $50 25 25 10 15 87 52 20 --- --- $100 $99 When he added up the columns as above, he assumed that he must owe $1 to the bank. Was he right? scroll down for answer! file:///E|/temp/Puzzles/Puzzles/BTWA25.html (1 of 2) [3/31/03 11:40:49 AM] San_Teaser25 The Answer! There is no reason whatever why the customer's original deposit of $100 should equal the total of the balanes left after each withdrawal. The total of withdrawals in the left-hand colum must always equal $100, but is is purely coincidence that the total of the right-hand column is close to $100. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA25.html (2 of 2) [3/31/03 11:40:49 AM] San_Teaser26 Teasers With Answers Teaser 26 I have two children. At least one of them is a boy. What is the probability that both my children are boys? My sister also has two children. The older child is a girl. What is the probability that both her children are girls? scroll down for answer! The Answer! Since I have two childern, at least one of which is a boy, there are three equally probable cases: Boy-Boy, Boy-Girl or Girl_Boy. In only one case are both childern boys, so the probility that both are boys is 1-3. My sisters situation is different. Knowing that the older child is a girl, there are only two equally probable cases: Girl-Girl or Girl-Boy. Therefore the probability that both childern are girls is 1-2. file:///E|/temp/Puzzles/Puzzles/BTWA26.html (1 of 2) [3/31/03 11:40:53 AM] San_Teaser26 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA26.html (2 of 2) [3/31/03 11:40:53 AM] San_Teaser27 Teasers With Answers Teaser 27 If today is Monday, what is the day after the day before the day before tomorrow? scroll down for answer! The Answer! Monday (I think this one was way to easy!) Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA27.html [3/31/03 11:40:56 AM] San_Teaser28 Teasers With Answers Teaser 28 The same four-letter word can be added to each of the following words to make a new word or a common phrase. What is the word? BOUND PROOF TREE LESS BIRD scroll down for answer! The Answer! Rain Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA28.html [3/31/03 11:40:59 AM] San_Teaser29 Teasers With Answers Teaser 29 Imagine Wheel A, with diameter x, rolling around fixed Wheel B, with diameter 2x. How many revolutions about its own axis will Wheel A make in rolling once around Wheel B? scroll down for answer! The Answer! Wheel A makes 3 revolutions about its own axis in rolling once around Wheel B. Since the circumference of Wheel A is half that of Wheel B, this produces two rotations with respect to Wheel B, and the revolution adds a third rotation with respect to an observer from above. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA29.html (1 of 2) [3/31/03 11:41:02 AM] San_Teaser29 file:///E|/temp/Puzzles/Puzzles/BTWA29.html (2 of 2) [3/31/03 11:41:02 AM] San_Teaser30 Teasers With Answers Teaser 30 The same five letters can be anagrammed into four different words to fill in the blanks in the sentence to make (somewhat) good sense. What are the missing words? The farmer with hundreds of _ _ _ _ _ , deeply _ _ _ _ _ about the amount of rainfall, and _ _ _ _ _ around with artificial watering systems when the ground is dry enough to _ _ _ _ _ him about the possibility of crop failure. scroll down for answer! The Answer! ACRES, CARES, RACES, and SCARE are the missing anagrams. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA30.html (1 of 2) [3/31/03 11:41:06 AM] San_Teaser30 Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA30.html (2 of 2) [3/31/03 11:41:06 AM] San_Teaser31 Teasers With Answers Teaser 31 A gentleman who died recently left just over $8000 to be divided between his widow, his five sons, and four daughters. He stipulated that every son should receive three times as much as a daughter, and that every daughter should receive twice as much as their mother. If the proecise amount left by the man was $7999.97 (notice that the figures read the same backward as foward), how much did the widow receive? scroll down for answer! The Answer! The widow received $205.13. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA31.html (1 of 2) [3/31/03 11:41:11 AM] San_Teaser31 file:///E|/temp/Puzzles/Puzzles/BTWA31.html (2 of 2) [3/31/03 11:41:11 AM] San_Teaser32 Teasers With Answers Teaser 32 The owner of the local bank found a $50 bill lying in the gutter; he picked it up and made a note of its serial number. Later that day his wife mentioned that they owed the butcher $50, so the banker used the bill he'd found to settle up with the butcher. The butcher used it to pay a farmer; the farmer in turned used it to pay his feedstock supplier; and the feedstock supplier used it to pay his laundry bill. The laundryman used it to pay off his $50 overdraft at the local bank. The banker recognized the bill as being the one he had found in the gutter, but als noticed, on closer examination, that it was a fake. By now, it had been used to settle $250 worth of debts. What was lost as a result of this series of transactions, and by whom? scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA32.html (1 of 2) [3/31/03 11:41:17 AM] San_Teaser32 Since the counterfeit note was used in every transaction, they are all invalid. Therefore, everybody stands in the same position to his/her creditor as before the banker picked up the counterfeit note. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA32.html (2 of 2) [3/31/03 11:41:17 AM] San_Teaser34 Teasers With Answers Teaser 34 I am a word of 11 letters My 7,3,8,4,5 is what the little girl did when her cat died. My 9,10,6,2 is an obsuring smudge. My 1,11 is an abbreviation for that is. My whole is as little as it can get. What am I? scroll down for answer! The Answer! Cried,blur,i.e.;irreducible Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA34.html [3/31/03 11:41:20 AM] San_Teaser35 Teasers With Answers Teaser 35 1. If some coffee is "97 percent caffeine-free," how many cups of it would one have to drink to get the amount of caffeine in a cup of regular coffee? scroll down for answer! The Answer! 33 1/3 cups. Because there is 3 percent caffeine left in the doctored coffee; in 100 cups there would be enough for 3 cups of regular; 3 goes into 100 exactly 33 1/3 times. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA35.html (1 of 2) [3/31/03 11:41:23 AM] San_Teaser35 Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA35.html (2 of 2) [3/31/03 11:41:23 AM] San_Teaser36 Teasers With Answers Teaser 36 Tony likes indigo but not blue. He likes onions but not turnips; he likes forms but not shapes. According to the same rule does he like tomatoes or avocados??? scroll down for answer! The Answer! Tony likes tomatoes. He only likes words that start with prepositions. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA36.html [3/31/03 11:41:27 AM] San_Teaser38 Teasers With Answers Teaser 38 John was attempting to steal a chicken. When he first saw the bird, he was standing 250 yards due south of it. Both began running at the same time and ran with uniform speeds. The chicken ran due east. Instead of running northeast on a straight line, John ran so that at every instant he was running directly towards the chicken. Assuming that John ran 1 1/3 times faster than the chicken, how far did the chicken run before it was caught??? scroll down for answer! The Answer! First, determine how far John would travel to catch the chicken if the chicken and John both ran foward on a straight line. Add to this the distance that John would travel to catch the chicken if they ran towards eash other on a straight line. Divide the result by 2 and you have the distance that John travels. In this case, the chicken is 250 file:///E|/temp/Puzzles/Puzzles/BTWA38.html (1 of 2) [3/31/03 11:42:12 AM] San_Teaser38 yards away, and the speeds of John and the chicken are in proportion of 4 to 3. So, if both ran forward on a straight line, John would travel 1,000 yards to overtake the chicken. If they traveled towards each other, John would travel four-sevenths of 250, or 142 6/7 yards. Adding the two distances and dividing by 2 gives us 571 3/7 yards for the distance traveled by John. Since the chicken runs at three-fourts the speed of John, it will have traveled three-fourths of John's distance, or 428 4/7 yards. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA38.html (2 of 2) [3/31/03 11:42:12 AM] San_Teaser39 Teasers With Answers Teaser 39 Each of the items displayed here represents a familiar word, name, phrase or saying. For Example, CCCCCCC can be recognized immediately as The Seven Seas. Now get these>>> a) JOANB b) atte c) cTo be or not to be c d) aBADge c e) GENT a f) i.e.. g) theTHE C h) OP LE STANT scroll down for answer! file:///E|/temp/Puzzles/Puzzles/BTWA39.html (1 of 2) [3/31/03 11:42:22 AM] San_Teaser39 The Answer! a) An inside job b) the heart of the matter c) see both sides of the question d) badinage e) undercover agent f) that is beside the point g) the first and last h) constantinople Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA39.html (2 of 2) [3/31/03 11:42:22 AM] San_Teaser40 Teasers With Answers Teaser 40 The letters of the alphabet can be arranged in four distinct groups. The first 13 letters establish the categories: AM BCDEK FGJL HI Place the remaining 13 letters in their proper categories. scroll down for answer! The Answer! AMTUVWY (symmetry about vertical axis) BCDEK (symmetry about horizontal axis) file:///E|/temp/Puzzles/Puzzles/BTWA40.html (1 of 2) [3/31/03 11:42:32 AM] San_Teaser40 FGJLNPQRSZ (no symmetry) HIOX (symmetry about both axes) Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA40.html (2 of 2) [3/31/03 11:42:32 AM] San_Teaser41 Teasers With Answers Teaser 41 You bought a ten-gallon hat as a souvenir of a visit to Texas; only when you got home did you discover that the label states it to be only a six-gallon hat. By now, you were skeptical that it was even that big, and you decided to test it by trying to fill it with 6 gallon of water. The only containers you had on hand were those below. Using them, how were you able to pour 6 gallon into the hat? || || || |||| |||| | 9 gallons| |4 gallons| |||||||||||| ||||||||||| container A container B scroll down for answer! file:///E|/temp/Puzzles/Puzzles/BTWA41.html (1 of 2) [3/31/03 11:42:37 AM] San_Teaser41 The Answer! The key is to reduce the content of container A to 6 gallons. This can be achieved as follows: 1. Fill A 2. Pour 4 gallons into B 3. 5 gallons remain in A 4. Empty B 5. Refill B from A-this leaves 1 gallon in A 6. Empty B and put the 1 gallon from A into B 7. Refill A 8. Fill B from A. This will take 3 gallons, leaving 6 in A Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA41.html (2 of 2) [3/31/03 11:42:37 AM] San_Teaser43 Teasers With Answers Teaser 43 Ahoy, blow, chin, defy, erst, flux, gist, hint, imps, know, lops, most. Twelve reasonably common words. Apart from all having four letters, what do they have in common? Can you provide a five-letter word having the same property? And a six-letter one??? scroll down for answer! The Answer! The words all have their letters occurring in alphabetical order. A similar five-letter word is BELOW, and ALMOST is a six-letter one. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA43.html [3/31/03 11:42:43 AM] San_Teaser44 Teasers With Answers Teaser 44 A certain family party consisted of 1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 childern, 3 grandchildern, 1 brother, 2 sisters, 2 sons, 2 daughters, 1 father-in-law, 1 mother-in-law, and 1 daughter-in-law. A total of 23 people, you might think. But, no; there were only ?????? how many people? And How? scroll down for answer! The Answer! 7, The party consisted of 2 little girls and a boy, their father and mother, and their father's father and mother. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA44.html (1 of 2) [3/31/03 11:42:50 AM] San_Teaser44 file:///E|/temp/Puzzles/Puzzles/BTWA44.html (2 of 2) [3/31/03 11:42:50 AM] San_Teaser45 Teasers With Answers Teaser 45 A racing driver drove around a 6-mile track at 140 miles per hour for 3 miles, 168 miles per hour for 1.5 miles, and 210 miles per hour for 1.5 miles. What was his average speed for the entire 6 miles? scroll down for answer! The Answer! 160 miles per hour. The key lies in converting miles per hour to miles per minute and in using fractions instead of decimals to avoid rounding errors. Distance(D) Using the formula Time(T)=----------- Speed(S) file:///E|/temp/Puzzles/Puzzles/BTWA45.html (1 of 2) [3/31/03 11:42:57 AM] San_Teaser45 If driver travels 3 miles at 140 MPH, it takes him 9/7 minutes to cover the distance. Equally, 1 miles at 168 MPH will take 15/28 minutes and 1 miles at 210 MPH takes 3/7 minutes. º º Total time for six miles= 9/7 + 15/28 + 3/7 minutes º This reduces to 63/28 minutes for 6 miles. D 6x28 Using above formula S= --- = ------- per minute T 63 6x28x60 or: ------------ per hour 63 This reduces to 160 MPH. Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA45.html (2 of 2) [3/31/03 11:42:57 AM] San_Teaser46 Teasers With Answers Teaser 46 Each of the following jumbled words has had at least three of the same letter removed from it, a different letter from each word. Find the missing letters to reconstruct the words. YTHLNM AEEHNRU DEINNOI scroll down for answer! The Answer! METHYLENE DUNDERHEAD file:///E|/temp/Puzzles/Puzzles/BTWA46.html (1 of 2) [3/31/03 11:43:31 AM] San_Teaser46 DISSENSION Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA46.html (2 of 2) [3/31/03 11:43:31 AM] San_Teaser47 Teasers With Answers Teaser 47 A problem which crops up quite often in puzzles is that of inserting mathematical signs wherever one cares to between the digits 1,2,3,4,5,6,7,8, and 9 to make the resulting expression equal in value to 100. The digits must remain in the same sequence. One of the numerous solutions to this problem is: 1+2+3+4+5+6+7+(8x9)=100 The problem becomes slightly more difficult if only plus and minus signs are allowed. A typical solution to the problem now is this: 12+3-4+5+67+8+9=100 In this solution, six plus and minus signs were used. Can you find a solution to this plus-and-minus-only problem using as few signs as possible? scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA47.html (1 of 2) [3/31/03 11:43:35 AM] San_Teaser47 The fewest plus and minus signs is 3. This is the solution: 123-45-67+89=100 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA47.html (2 of 2) [3/31/03 11:43:35 AM] San_Teaser48 Teasers With Answers Teaser 48 If Susan is 10, Arabella is 20, and Jim and Neal are both 5, but Richard is 10, how much is Jennifer by the same system? scroll down for answer! The Answer! Jennifer is fifteen, in a system that awards five for each syllable. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA48.html [3/31/03 11:43:38 AM] San_Teaser49 Teasers With Answers Teaser 49 Here is a well-known English word. Can you work out what it is? E10100010001000UNI100ATXN scroll down for answer! The Answer! Excommunication. Thus: E 10 100 0 1000 1000 UNI 100 AT X N E X C 0 M M UNI C AT 10 N Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA49.html [3/31/03 11:43:41 AM] San_Teaser50 Teasers With Answers Teaser 50 A company offered its 350 employees a bonus of $10 to each male and $8.15 to each female. All the females accepted, but a cetain percentage of the males refused to accept. The total bonus paid was not dependent upon the number of men employed. What was the total amount paid to the women? scroll down for answer! The Answer! Let m be the number of men and let x be the fraction of men refusing a bonus. Then the amount paid out is given by T=8.15(350-m)+10(1-x)m=2852.50+m(1.85-10x) file:///E|/temp/Puzzles/Puzzles/BTWA50.html (1 of 2) [3/31/03 11:43:44 AM] San_Teaser50 which will be independent of m only if x=0.185, so that T=2852.50. Both m and 0.185m are integers with m _ 350, so m=200. It follows that $1,222.50 is paid to the 150 women. Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA50.html (2 of 2) [3/31/03 11:43:44 AM] San_Teaser51 Teasers With Answers Teaser 51 If TEN = 20 - 5 - 14; and MEN = 13 - 5 - 14; what do WOMEN equal by the same logic? scroll down for answer! The Answer! Women equal 23-15-13-5-14. The numbers represent the position of each letter of the word in the alphabet: ie.,A=1,B=2, and so on. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA51.html [3/31/03 11:43:48 AM] San_Teaser52 Teasers With Answers Teaser 52 Caroline decided to leave her husband and went to stay in a woman's refuge near Lake Round, a large artificial body of water so named because of its precisely cirular shape. However, her husband followed her there. To escape him, she took a rowing boat and rowed to the center of the lake, marked by a buoy. Her husband was furious, but, knowing she would have to come to ashore eventually, decided to wait for her on the edge of the lake. He assumed that, because he could run 4 times as fast as Caroline could row, it would be simple matter for him to catch her when the boat touched the edge of the lake. Caroline thought about her predicament. She knew that once she was on dry land she could run faster than her husband, so she devised a plan that got her to some point on the shore before he could get there. What was her strategy? You can assume that at all times she knew her exact position on the lake. scroll down for answer! file:///E|/temp/Puzzles/Puzzles/BTWA52.html (1 of 3) [3/31/03 11:43:51 AM] San_Teaser52 The Answer! If Caroline's objective had been to escape by reaching the shore as quickly as possible, her best strategy would have been to row so that the center of the lake, marked by the buoy, was always between her and her husband. At the same time, maintaining the three points in a straight line, she should have rowed towards the shore. Assuming that her husband followed the strategy of always running in the same direction around the lake, at a speed four times as fast as she can row, Caroline's optimum path was a semicircle with a radius of r/8, where r is the lakes radius. At the end of this semicircle, she would have reached a distance of r/4 from the center of the lake. That is the point at which the angular velocity she would have had to maintain to keep her husband opposite her just equals his angular velocity, leaving her no reserve energy for moving outward. (If during this period her husband changed direction, she could have done as well or better by mirror-reflection her path.) As soon as Caroline reached the end of the semicircle, she headed straight for the nearest spot on the shore. She had a distance of r/4 to go. Her husband would have had to travel a distance of (pie) times r to catch her when she landed. She would have escaped, because when she reached the shore he would have gone a distance of only 3r. Suppose, however, Caroline preferred to reach the shore not as soon as possable but at a spot as far away as possable from her husband. In this case her best strategy, after she reached a point r/4 from the center of the lake, would have been to row in a straight line that is tangent to the circle of radius r/4, moving is a direction opposite to the wat her husband was running. file:///E|/temp/Puzzles/Puzzles/BTWA52.html (2 of 3) [3/31/03 11:43:51 AM] San_Teaser52 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA52.html (3 of 3) [3/31/03 11:43:51 AM] San_Teaser53 Teasers With Answers Teaser 53 You are given 10 baskets. 9 of the baskets each have 10 balls weighing 10kg per ball, however one basket has 10 balls weiging 9kg each. All the balls and baskets are identical in appearance. You are asked to determine which basket contains the 9kg balls. You have a suitable scale, but may only take a single measurement. No other measurements may be taken (like trying to determine by hand). You may remove balls from the baskets but may still only take one measurement. How do you do it? scroll down for answer! The Answer! file:///E|/temp/Puzzles/Puzzles/BTWA53.html (1 of 2) [3/31/03 11:43:56 AM] San_Teaser53 Mark the baskets or line them up. Take 1 ball from the 1st basket, 2 balls from the 2nd, 3 balls from the 3rd etc. Put them all on the scale. Their mass should add up to 10+20+30+...+100=550kg. Subtract the mass you get from 550 and you get the basket they're in! eg. If the 9kg balls are in basket 6, the scale will read 10+...+50+54+70+...+100=544kg. 550-544=6. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA53.html (2 of 2) [3/31/03 11:43:56 AM] San_Teaser54 Teasers With Answers Teaser 54 ROAST MULES The above anagram hides something that kids do. Adults can do it, but generally not that well. scroll down for answer! The Answer! Somersault Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA54.html (1 of 2) [3/31/03 11:43:59 AM] San_Teaser54 file:///E|/temp/Puzzles/Puzzles/BTWA54.html (2 of 2) [3/31/03 11:43:59 AM] San_Teaser55 Teasers With Answers Teaser 55 A steer weighing 630 kilograms requires 13,500 calories a day to maintain its weight. That amount of food turns out to be proportional to its external surface. How many calories does a steer of 420 kilograms require? scroll down for answer! The Answer! Weight is proportional to linear dimension (length or girth of the steer) cubed. Surface area is proportional to linear dimension squared. Therefore, 13,500 x [ ( 420/630)1/3 ] 2 = 10,300 calories Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA55.html (1 of 2) [3/31/03 11:44:03 AM] San_Teaser55 Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA55.html (2 of 2) [3/31/03 11:44:03 AM] San_Teaser56 Teasers With Answers Teaser 56 With thieves I consort, With the vilest, in short, I'm quite at my ease in depravity; Yet all divines use me, And savants can't lose me, For I am the center of gravity. Who or what am I??? scroll down for answer! The Answer! The Letter V Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA56.html (1 of 2) [3/31/03 11:44:06 AM] San_Teaser56 file:///E|/temp/Puzzles/Puzzles/BTWA56.html (2 of 2) [3/31/03 11:44:06 AM] San_Teaser57 > Teasers With Answers Teaser 57 Arrange the digits 1-9 inclusive so as to form two numbers, one of which is the square of the other. There are two possible solutions-can you find them both? scroll down for answer! The Answer! 567 squared which equals 321,489 854 squared which equals 729,316 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA57.html (1 of 2) [3/31/03 11:44:09 AM] San_Teaser57 file:///E|/temp/Puzzles/Puzzles/BTWA57.html (2 of 2) [3/31/03 11:44:09 AM] San_Teaser58 Teasers With Answers Teaser 58 George did not have a wristwatch, but he did have an accurate clock. However, he sometimes forgot to wind his clock. Once when this happened, George went to his sister's house, spent the evening with her, went back home and set his clock. How could he do this without knowing beforhand the length of the trip? scroll down for answer! The Answer! When George lefy his house, he started the clock and wrote down the time it then showed. When he got to his sisters house he noted the time when he arrived and the time when he left. He thus knew how long he was at his sister's house. When he got back home, he looked at the clock, so he knew how long he had been away from home. Subtracting from this the time he had spent at his sister's house, he knew how long the walk back and forth had been. By adding half of this to the time he left his sister's house, he then knew what time it really was file:///E|/temp/Puzzles/Puzzles/BTWA58.html (1 of 2) [3/31/03 11:44:12 AM] San_Teaser58 now. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA58.html (2 of 2) [3/31/03 11:44:12 AM] San_Teaser59 Teasers With Answers Teaser 59 The following cryptogram has been done in a simple substitution cipher: each number represents a letter, and the same number always represents the same letter. What does it say? 14 26 23 26 14 22 24 6 9 18 22 24 26 15 15 22 23. 8 26 18 23 8 19 22 4 26 8 20 22 7 7 18 13 20 20 15 12 4 18 13 20 9 22 11 12 9 7 8 12 13 19 22 9 4 12 9 16 scroll down for answer! The Answer! MADAME CURIE CALLED. SAID SHE WAS GETTING GLOWING REPORTS ON HER WORK. file:///E|/temp/Puzzles/Puzzles/BTWA59.html (1 of 2) [3/31/03 11:44:15 AM] San_Teaser59 The substitution is the alphabet numbered backward. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA59.html (2 of 2) [3/31/03 11:44:15 AM] San_Teaser61 Teasers With Answers Teaser 61 You have two hourglasses--a 4-minute glass and a 7-minute glass. You want to measure 9 minutes. How do you do it? scroll down for answer! The Answer! Start both hourglasses. When the 4-minute glass runs out, turn it over (4 minutes elapsed). When the 7-minute glass runs out, turn it over (7 minutes elapsed). When the 4-minute glass runs out this time (8 minuts elapsed), the 7-minute glass has been running for 1 minute. Turn it over once again. When it stops, 9 minutes have elapsed. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA61.html (1 of 2) [3/31/03 11:44:18 AM] San_Teaser61 file:///E|/temp/Puzzles/Puzzles/BTWA61.html (2 of 2) [3/31/03 11:44:18 AM] San_Teaser62 Teasers With Answers Teaser 62 An old nursery rhyme starts: "Who stole the cookies from the cookie jar..." Let us find out from the following statements, of which only one is true: ANN: Harry stole the cokie from the cookie jar. HARRY: Fred stole the cookie from the cookie jar. LISA: Who me?-can't be. FRED: Harry is lying when he says that I stol the cookie. scroll down for answer! The Answer! While this is ostensibly a "trial-and-error" exercise, a systematic file:///E|/temp/Puzzles/Puzzles/BTWA62.html (1 of 2) [3/31/03 11:44:21 AM] San_Teaser62 approach is possable. Let us assume, in turn, that each child has stolen the cookie, and see wheather the other statements are than compatible with the conition that three are lies and only one statement is true. If Ann is the thief, her statement is a lie; Harry's statement is a lie; Lisa's statement is true; Fred's statement is true. Therefore this cannot be the solution. In practice, it saves time to test the person who makes a statement about herself-in this case Lisa. If Lisa is the thief, then Ann's statement is a lie; Harry's statement is a lie; Lisa's statement is a lie; Fred's statement is true. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA62.html (2 of 2) [3/31/03 11:44:21 AM] San_Teaser63 Teasers With Answers Teaser 63 A man left a legacy of $10,000 to three relatives and their wives. Togather, the wives received $3960. June received $100 more than Camille, and Martha received $100 more than June. Jack Smith was given just as much as his wife, Horace Saunders got half as much again as his wife, and Terry Conners received twice as much as his wife. What was the first name of each man's wife? scroll down for answer! The Answer! As it is evident that Camille, June and martha received respectively $1220, $1320 and $1420, making togather the $3960 left to the three wives, if Jack Smith receives as much as his wife Camille, $1220; Horace Saunders half as much again as his wife June, $1980; and Terry Connors twice as much as his wife Martha, $2840, then we have correctly paired the married couples and accounted for exactly $10,000. file:///E|/temp/Puzzles/Puzzles/BTWA63.html (1 of 2) [3/31/03 11:44:24 AM] San_Teaser63 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA63.html (2 of 2) [3/31/03 11:44:24 AM] San_Teaser64 Teasers With Answers Teaser 64 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? scroll down for answer! The Answer! The wiseman tells them to switch camels. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA64.html [3/31/03 11:44:27 AM] San_Teaser65 Teasers With Answers Teaser 65 I dig out tiny caves, and store gold and sliver in them. I also build bridges to sliver and make crowns of gold. They are the smallest you could imagine. Sooner or later everybody needs my help yet many people are afraid to let me help them. The Answer! A Dentist Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA65.html [3/31/03 11:47:18 AM] San_Teaser66 Teasers With Answers Teaser 66 97 baseball teams participate in an annual state tournament. The way the champion is chosen for this tournament is by the same old elimination schedule. That is, the 97 teams are to be divided into pairs, and the two teams of each pair play against each other. After a team is eliminated from each pair, the winners would be again divided into pairs, etc. How many games must be played to determine a champion?Read on for the answer..... The Answer! 96. Since there are 97 teams, 1 team loses each game and you want to end up with one remaining team, you just hav 1 losing team 96 times and have the remaining one team left. Similarly, if you want to have 7 teams undefeated, you play 90 games. file:///E|/temp/Puzzles/Puzzles/BTWA66.html (1 of 2) [3/31/03 11:47:21 AM] San_Teaser66 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA66.html (2 of 2) [3/31/03 11:47:21 AM] San_Teaser67 Teasers With Answers Teaser 67 A woman has planted some flowers of three different kinds. There are roses, tulips, and daisies. How many flowers do I have if all of them are roses except two, all of them are tulips except two, and all of them are daisies except two? The Answer! There is 1 of each one! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA67.html [3/31/03 11:47:25 AM] San_Teaser68 Teasers With Answers Teaser 68 You want to send a valuable object to a friend. You have a box which is more than large enough to contain the object. You have several locks with keys. The box has a locking ring which is more than large enough to have a lock attached. But your friend does not have the key to any lock that you have. Note that you cannot send a key in an unlocked box, since it might be copied. How is this done? The Answer! Attach a lock to the ring. Send it to her. She attaches her own lock and sends it back. You remove your lock and send it back to her. She removes her lock. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA68.html [3/31/03 11:47:28 AM] San_Teaser69 Teasers With Answers Teaser 69 A bookworm eats from the first page of an encyclopedia to the last page. The bookworm eats 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? The Answer! On a book shelf the first page of the first volume is on the "inside" __ __B| | | |FA|1 |...........................|10|RC| | | |OK| | | |N | | | |T ----------------------------------so the bookworm eats only through the cover of the first volume, then 8 times1000 pages of Volumes 2 - 9, then through the cover to the 1st page of Vol 10.He eats 8,000 pages. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA69.html [3/31/03 11:47:31 AM] San_Teaser70 Teasers With Answers Teaser 70 2 boys on bicycles, 20 miles apart, began racing toward each other. The instant they started, a fly on the handle bar of one of the bikes started flying toward the other bike's handle bar. As soon as it reached, it turned around and went to the other bike and so on until the bikes met. If each bike had a constant speed of 10 mph, and the fly was traveling 15 mph constantly, how far did the fly travel? scroll down for answer! The Answer! Each bike travels at 10 mph, so they meet at the center of the 20 mile distance in exactly 1 hour the fly travels 15 mph and so at the end of the hour, he will have gone 15 miles. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA70.html (1 of 2) [3/31/03 11:47:34 AM] San_Teaser70 Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA70.html (2 of 2) [3/31/03 11:47:34 AM] San_Teaser71 Teasers With Answers Teaser 71 There is a five letter word. It becomes shorter when you add 2 letters to it. What is this five letter word? The Answer! Short Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA71.html [3/31/03 11:47:37 AM] San_Teaser73 Teasers With Answers Teaser 73 If 2 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 would it be now? The Answer! Nine o'clock. Since there are 12 hours between the 2 times, and half of that time is six, then the halfway mark would have to be 7 o'clock. If it were 7 o'clock, two hours ago, the time would now be nine o'clock. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA73.html [3/31/03 11:47:39 AM] San_Teaser74 Teasers With Answers Teaser 74 Ok, imagine a large empty bin with. Say that each minute people would come and put in one golf ball a piece. The first minute(Starting at 12 noon), 1 person came and put in a ball. The second minute, 2 people put in one ball a piece. A minute later, 4 people put in 1 ball a piece. This pattern continued until the bin was exactly full at 6 pm. At what time was the bin half empty? The Answer! 5:59 - Because each minute, the number of balls double! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA74.html [3/31/03 11:47:42 AM] San_Teaser75 Teasers With Answers Teaser 75 A boy leaves his house one summer day, and began to run through the woods to his grandmother's house which is on the other side of the woods. It should also be known that the boy reached his grandmother's house. How far did the boy run into to woods? The Answer! Halfway. Because once you reach the middle, you are then running out of the woods. Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA75.html [3/31/03 11:47:45 AM] San_Teaser76 Teasers With Answers Teaser 76 A genius came to a narrow railroad bridge and began to run across it. He had crossed 3/8 of the distance when a whistle behind him warned of an approaching train. Being a genius, he instantly evaluated his alternatives. If he were to run back to the beginning of the bridge at his speed of 10 mph, he would leave the bride at precisely the moment the train entered it. If he kept on running to the end of the bridge, the train would reach him just as he left the bridge. At what speed was the train moving? The Answer! 40 mph Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA76.html [3/31/03 11:47:47 AM] San_Teaser77 Teasers With Answers Teaser 77 Four men and four women are shipwrecked on a desert island. Eventually each one falls in love with one another, and is himself loved by one person. John falls in love with a girl who is in love with Jim. Arthur loves a girl who loves the man who loves Ellen. Mary is loved by the man who is loved by the girl who is loved by Bruce. Gloria hates Bruce and is hated by the man whom Hazel loves.Enigma: Who loves Arthur? The Answer! Gloria Loves Arthur Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA77.html [3/31/03 11:47:50 AM] San_Teaser78 Teasers With Answers Teaser 78 A snail is at the bottom of a well 30 feet deep. It crawls up 3 feet each day, but at night, it slips down 2 feet. How long does it take for the snail to crawl out the well? The Answer! 28 days. Once it reaches the top, it does not slip down 2 feet. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA78.html [3/31/03 11:47:55 AM] San_Teaser79 Teasers With Answers Teaser 79 A ship is at anchor. Over the side hangs a rope ladder with rungs a foot apart. The tide rises at a rate of 8 inches per hour. At the end of six hours, how much of the rope ladder will remain above water, assuming that 8 feet were above the water when the tide began to rise? The Answer! Since the ship is afloat, the water level in relation to the ship stays the same. Therefore, 8 feet are above water, just as the beginning! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA79.html [3/31/03 11:47:58 AM] San_Teaser80 Teasers With Answers Teaser 80 A traveller comes to a fork in the road and does not know how to get to his destination. 2 men are at the fork in the road. 1 of them always tells the truth, and the other one always lies. He may ask the men on question to find his way. What question does the man ask these men? The Answer! He asks them, "If I ask the other man which way to go, what would his answer be?" They would both answer in the same way. Whatever the answer is, go the other way. If the man you ask always tells the truth, then the other always lies. The man you ask will tell truthfully that the answer would be the wrong way. If the man you ask always lies, then the other man tells the truth. The man you ask will lie and tell you that the other man would tell you the wrong way. In both cases the answer you would receive would be the wrong way. Go the other way. file:///E|/temp/Puzzles/Puzzles/BTWA80.html (1 of 2) [3/31/03 11:48:01 AM] San_Teaser80 Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA80.html (2 of 2) [3/31/03 11:48:01 AM] San_Teaser81 Teasers With Answers Teaser 81 There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES & ORANGES". You know that each is labeled incorrectly. You then pick one fruit from one box which you choose. Which box do you draw from and how can you label the boxes correctly? The Answer! You draw from the "APPLES & ORANGES" box and whatever you pull out is what that box is labeled. Say you draw an apple. You then label the old "APPLE" to "ORANGES" and you label the old "ORANGES" to "APPLES & ORANGES". If you draw out a orange, then you re-label the opposite box. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA81.html [3/31/03 11:48:05 AM] San_Teaser82 Teasers With Answers Teaser 82 Every day, a wife picks up her husband at train station at 5. One day he arrives early at 4 and he begins to walk home along the road which his wife would be traveling. She meets him and takes him the rest of the way. If he would have waited at the train station, she would have arrived there at 5. As it turned out, they reached home 20 minutes early. What time was it when she picked him up? The Answer! 4:50If they made it home 20 minutes early, then the trip was 20 minutes shorter. Then it was 10 minutes shorter going, and 10 minutes shorter coming back home. Since it was 10 minutes shorter going, then she picked him up at 10 'til 5:00, or 4:50. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA82.html [3/31/03 11:48:08 AM] San_Teaser83 Teasers With Answers Teaser 83 A truck travels 15 mph for the first half of the distance of a trip. The driver wants to average 30 mph for the whole trip. How fast must he travel for the second half of the trip? The Answer! Infinity. Assume any distance for the trip. If you said 30 miles, then the first half took 1 hour. But to average 30 mph for the total trip would require an hour. Therefore the puzzle has no solution and it is impossible! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA83.html [3/31/03 11:48:11 AM] San_Teaser84 Teasers With Answers Teaser 84 A camel has 3000 bananas. He wants to go over a one thousand mile stretch of the desert. He has to eat one banana for each mile he walks. But he can only carry 1000 bananas at a time. Waiting for him on the other side is his family. He wants to find a way to bring as much bananas to them as possible. Hint: He does't have to go all the way at the at once and he can leave bananas in the desert because he and his camel family are the only camels that eat bananas. Can he bring any extra bananas? - If so, how many? The Answer! I accepted a variety of answers. Technically the most is 533.333... but This is if you went an infinitesimally small distance and went back for more bananas and then back and forth until you reach the other side. I prefer the answer of going 250 miles, leaving a thousand bananas, going back and getting more. Then go to the 250 mark, go back and forth until you have all the bananas at the 250. The take all the bananas to the 500 mile mark then file:///E|/temp/Puzzles/Puzzles/BTWA84.html (1 of 2) [3/31/03 11:48:13 AM] San_Teaser84 750 then to the end. Using this way, you end up having 500 bananas at the end. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA84.html (2 of 2) [3/31/03 11:48:13 AM] San_Teaser85 Teasers With Answers Teaser 85 What is at the beginning of eternity, the end of time, the beginning of every end, and the end of every place? The Answer! "e" Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA85.html [3/31/03 11:49:15 AM] file:///E|/temp/Puzzles/Puzzles/BTWA86.html Teasers With Answers Teaser 86 If you were to put a coin into an empty bottle and then insert a cork into the neck, how could you remove the coin without taking out the cork or breaking the bottle? The Answer! Simply push the cork into the bottle and shake the coin out. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA86.html [3/31/03 12:01:54 PM] San_Teaser87 Teasers With Answers Teaser 87 What word starts with is, ends with nd, and has LA in the middle? The Answer! island Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA87.html [3/31/03 12:01:57 PM] San_Teaser88 Teasers With Answers Teaser 88 You throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you eat? The Answer! An ear of corn Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA88.html [3/31/03 12:01:59 PM] file:///E|/temp/Puzzles/Puzzles/BTWA89.html Teasers With Answers Teaser 89 What is the closest relation that your father's sister's sister-in-law could be to you? The Answer! YOUR MOTHER Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA89.html [3/31/03 12:02:01 PM] San_Teaser91 Teasers With Answers Teaser 90 How would you rearrange the letters in the words new door to make one Answer: One Word! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/btwa90.html [3/31/03 12:02:05 PM] San_Teaser91 Teasers With Answers Teaser 91 A bartender watches a man as he enters his bar. The man comes up to the bartender and asks for a drink of water. Instead of giving the man a drink of water, the bartender pulls out a gun and points it at the man. The man replies "Thank you.", and exits the bar with a satisfied look on his face. The bartender, also with a satisfied look, puts his gun away and returns to work, as if nothing unusual has happened. Why did the man enter the bar in the first place? file:///E|/temp/Puzzles/Puzzles/BTWA91.html (1 of 2) [3/31/03 12:02:07 PM] San_Teaser91 The Answer! The man who entered the bar had the hiccups. : The man entered the bar with the hiccups, and asked for a drink of water in an attempt to get rid of them. The bartender, noticing that the man had the hiccups, decided to scare the man (in order to help cure the man's hiccups), and did so by pulling a gun on him. Once the man got scared and then regained his senses, he no longer needed the water, since he no longer had the hiccups. The man then thanked the bartender for his help and left the bar. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA91.html (2 of 2) [3/31/03 12:02:07 PM] San_Teaser92 Teasers With Answers Teaser 92 An electric train is traveling southwest at 95 miles per hour, and the wind is blowing north east at 95 miles per hour. In which direction does the smoke blow? The Answer! There is no smoke. It is an electric train Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA92.html [3/31/03 12:02:11 PM] San_Teaser93 Teasers With Answers Teaser 93 A lily pad doubles in size every day. If on the 60th day the pond is filled with the lily pad, on what day is the pond only half covered? The Answer! The 59th day. it doubles every day, and if the pond is half full on the 59th day, then it is filled on the 60 th day. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA93.html [3/31/03 12:02:14 PM] San_Teaser94 Teasers With Answers Teaser 94 Some months have 30 days, and others have 31. How many months have 28 days? The Answer! Answer: All of them. Every Month has at least 28 days. If you can find an exception, I would like to know about it! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA94.html [3/31/03 12:02:17 PM] San_Teaser95 Teasers With Answers Teaser 95 What is the easiest way to throw a ball, and have it stop, and completely reverse direction after traveling a short distance The Answer! Throw the ball Straight up. Click below for next teaser: Home - Brain Teasers With Answers Index - Random file:///E|/temp/Puzzles/Puzzles/BTWA95.html [3/31/03 12:02:20 PM] San_Teaser96 Teasers With Answers Teaser 96 One of my favorites! A pirate ship captures a treasure of 1000 golden coins. The treasure has to be split among the 5 pirates: 1, 2, 3, 4, and 5 in order of rank. The pirates have the following important characteristics: Infinitely smart. Bloodthirsty. Greedy. Starting with pirate 5 they can make a proposal how to split up the treasure. This proposal can either be accepted or the pirate is thrown overboard. A proposal is accepted if file:///E|/temp/Puzzles/Puzzles/BTWA96.html (1 of 6) [3/31/03 12:02:23 PM] San_Teaser96 and only if a majority of the pirates agrees on it. The Question: What proposal should pirate 5 make? The Answer! The idea behind the solution for this puzzle is that a pirate will accept a proposal only if he knows that in case he would not accept the proposal, he would get less of the treasure. If pirate 1 would be the only one left, he would get all the golden file:///E|/temp/Puzzles/Puzzles/BTWA96.html (2 of 6) [3/31/03 12:02:23 PM] San_Teaser96 coins. Therefore, if only pirates 1 and 2 would be left, pirate 2 has to give all the 1000 coins to pirate 1 in order to stay alive; every other proposal would be rejected by pirate 1. | Pirate 1 | Pirate 2 ------------------------------------------ Number of coins | 1000 | 0 ------------------------------------------ Pirate agrees | Yes | Yes When also pirate 3 would still be alive, he needs the agreement of one of the other two. Greedy pirate 2 will agree with every proposal in which he gets more than 0 coins (if he wouldn't agree, he would get nothing as we have seen). So pirate 3 should propose to give one coin to pirate 2, and file:///E|/temp/Puzzles/Puzzles/BTWA96.html (3 of 6) [3/31/03 12:02:23 PM] San_Teaser96 keep the rest to himself. | Pirate 1 | Pirate 2 | Pirate 3 ------------------------------------------------------- Number of coins | 0 | 1 | 999 ------------------------------------------------------- Pirate agrees | No | Yes | Yes When we have four pirates, pirate 4 should make two other pirates agree with his proposal. So he proposes to give one coin to pirate 1, two coins to pirate 2, and the rest to himself. Pirates 1 and 2 will accept the proposal; if they wouldn't, they would get less. | Pirate 1 | Pirate 2 | Pirate 3 | Pirate 4 -------------------------------------------------------------------- Number of coins | 1 | 2 | 0 | 997 file:///E|/temp/Puzzles/Puzzles/BTWA96.html (4 of 6) [3/31/03 12:02:23 PM] San_Teaser96 -------------------------------------------------------------------- Pirate agrees | Yes | Yes | No | Yes But as we know, there are five pirates. If pirate 5 gives both pirate 1 and pirate 3 one coin more than in the previous case, they are willing to accept the proposal. Then a majority (three out of five) of the pirates will support the proposal, and pirate 5 can keep the rest of the treasure to himself. | Pirate 1 | Pirate 2 | Pirate 3 | Pirate 4 | Pirate 5 ------------------------------------------------------------------------ --------- Number of coins | 2 | 0 | 1 | 0 | file:///E|/temp/Puzzles/Puzzles/BTWA96.html (5 of 6) [3/31/03 12:02:23 PM] San_Teaser96 997 ------------------------------------------------------------------------ --------- Pirate agrees | Yes | No | Yes | No | Yes Conclusion: Pirate 5 should propose to give two coins to pirate 1, one coin to pirate 3, and the remaining 997 coins to himself. Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA96.html (6 of 6) [3/31/03 12:02:23 PM] San_Teaser97 Teasers With Answers Teaser 97 Candace is Jane's daughter's aunt's husband's daughter's sister. What is the relationship between Candance and Jane? The Answer! Candance is Jane's neice! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA97.html [3/31/03 12:05:53 PM] San_Teaser98 Teasers With Answers Teaser 98 Use the digits 1, 2, 3, 4, 5 and 6 once only, in this multiplication sum to make it correct. ?? x? ------- ??? scroll down for answer! The Answer! 54 x3 ----- 162 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA98.html (1 of 2) [3/31/03 12:05:56 PM] San_Teaser98 file:///E|/temp/Puzzles/Puzzles/BTWA98.html (2 of 2) [3/31/03 12:05:56 PM] San_Teaser99 Teasers With Answers Teaser 99 At our sleepover last weekend, I bet my friends during our midnight feast that the weather in exactly one week's time would not be sunny. I can't wait to take their pocket money off them. How can I be so sure? scroll down for answer! The Answer! Because in exactly one weeks time from the midnight feast it will again be midnight - the sun will not be shining! file:///E|/temp/Puzzles/Puzzles/BTWA99.html [3/31/03 12:06:00 PM] San_Teaser100 Teasers With Answers Teaser 100 I am eight letters long - "12345678" My 1234 is an atmospheric condition. My 34567 supports a plant. My 4567 is to appropriate. My 45 is a friendly thank-you. My 678 is a name. Q: What word am I? scroll down for answer! The Answer! MISTAKEN 12345678 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA100.html (1 of 2) [3/31/03 12:06:03 PM] San_Teaser100 file:///E|/temp/Puzzles/Puzzles/BTWA100.html (2 of 2) [3/31/03 12:06:03 PM] San_Teaser101 Teasers With Answers Teaser 101 Can you figure out the secret message contained in the letters below: M B A R T A H I I N S T F E U A N S W E I _ _ _ _! scroll down for answer! The Answer! The message is: "Math is fun with brainteasers!" The letters which spell "math is fun" are mixed with every second letter of the word "brainteasers" MATHISFUNWITH B R A I N T E A S E R S! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA101.html (1 of 2) [3/31/03 12:06:07 PM] San_Teaser101 file:///E|/temp/Puzzles/Puzzles/BTWA101.html (2 of 2) [3/31/03 12:06:07 PM] San_Teaser102 Teasers With Answers Teaser 102 The following number pairs have been formulated to a set rule in each case. Try to find out what the rule is for each line by letting 'n' equal the first number in each pair. 1. 1-12 2-17 3-22 4-27 5-32 2. 1-8 2-10 3-12 4-14 5-16 3. 1-4 2-7 3-12 4-17 5-28 scroll down for answer! file:///E|/temp/Puzzles/Puzzles/BTWA102.html (1 of 2) [3/31/03 12:06:11 PM] San_Teaser102 The Answer! (n x 5) + 7 2. (n + 3) x 2 3. n? + 3 Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA102.html (2 of 2) [3/31/03 12:06:11 PM] San_Teaser103 Teasers With Answers Teaser 103 Mary promised Kay today that she will tell Kay a big secret on the day before four days from the day after tomorrow. If today is Saturday the 12th, on what day and date will Mary tell Kay her big secret? scroll down for answer! The Answer! Thursday the 17th Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA103.html [3/31/03 12:06:14 PM] San_Teaser104 Teasers With Answers Teaser 104 The Lone Ranger rode into town on Friday. He stayed 5 consecutive days and left on Friday. How could this be? scroll down for answer! The Answer! Friday was his horse! Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA104.html [3/31/03 12:06:17 PM] San_Teaser105 Teasers With Answers Teaser 105 Nathan wrote all the numbers from 300 to 400 on a piece of paper. How many times did he write the digit 3? scroll down for answer! The Answer! Nathan wrote one hundred and twenty 3's He wrote one hundred 3's in the hundreds places, ten 3's in the tens places, and ten 3's in the ones places. 3 0 file:///E|/temp/Puzzles/Puzzles/BTWA105.html (1 of 2) [3/31/03 12:06:20 PM] San_Teaser105 0 3 0 1 3 0 2 - - - Click below for next teaser: file:///E|/temp/Puzzles/Puzzles/BTWA105.html (2 of 2) [3/31/03 12:06:20 PM] San_Teaser Archive Krazy Brain Teasers Archive http://sandesh.b0x.com/ Teaser: A man is in a room with no doors and no windows. All he has is a stick. How does he get out? Answer: You take the stick break it in half, two halfs make a whole you crawl through the hole and your out! (play on words! Teaser: my first is one hundred my second is a lion,my third is an irishman my fourth is a eygptian god .................who am i?. Answer: Cleopatra Teaser: To conserve the contents of a 16oz. bottle of tonic, a castaway adopts the following procedure. on the first day he drinks 1 oz. of tonic and then refills the bottle with water; on the second day he drinks 2oz. of the mixture and then refills the bottle with water;on the third day he drinks 3oz. of the mixture and then again refills the bottle with water. He continues this procedure until the bottle is empty. How many file:///E|/temp/Puzzles/Puzzles/btwa.html (1 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive ounces of water did he drink altogether? He does not drink from the bottle if there is no tonic in it. Answer: 120 ounces Teaser: A soldier has been captured by the enemy and is sentenced to die. His captors say: "You may make a statement. If you tell a lie, you will be shot. If you tell the truth, you will be hanged." He makes a statement and goes free. What could he have said? Answer: He said "You will shoot me." If they shoot him, then he told the truth and should have been hung. If they hang him, he told a lie and should have been shot. With no other choice, they let him go. Teaser: There is a boy. He puts one arm on the box. When he wakes up, there is nothing. what happened? Answer: He was dreaming. Sorry that was a pretty dumb teaser! Teaser: Enclosed in a room are two computers with intelligence (imagine them as C3PO if you will). However, one is a computer who always tells lies and the other always tells the truth. Now, also in this room are two doors, with one being the exit to this room and the other leading to a bomb behind it which will detonate once you open the door. If you were to ask just one question to one of these computer (not knowing which is the which computer), how are you able to get the computer to direct you to the exit? file:///E|/temp/Puzzles/Puzzles/btwa.html (2 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive Answer: I ask either of the computers, "If I asked the other computer which door to open to exit, which door should it answer to open?" And then I would open the opposite door. In this way I can find the correct door because: 1) If I'm talking to the truth telling computer, then it will tell me what the other computer would say, which would be a lie. So the door indicated would be wrong. 2) If I'm talking to the lying computer, then it will lie about what the other computer would say, which would be the truth. So the lying computer would still indicate the wrong door. Teaser: Two men were being tried for murder. The jury found one man guilty and the other innocent. The judge turned to the guilty man and said, "Even though your guilt has been established, the law compels me to set you free." How could such a bizarre judgement occur? Answer: The two men were simese twins joined at the hip. The judge couldn't sentence the innocent man (the head and body attached to the other) to prison and so had to let them both go free. Teaser: There are ten rockets. The commander has asked you to arrange the rockets in five rows of four. How do you do it? Answer: arrange the rockets in the shape of a star Teaser: file:///E|/temp/Puzzles/Puzzles/btwa.html (3 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive > Four men sat down to play, > They played all night 'till the break of day, > they played for gold and not for fun with separate scores for everyone. > When they came to square accounts, > They all had made quite fair amounts. > Can you the paradox explain, > If no one lost, how could all gain? Answer: They weren't playing against each other, but rather against a House, in a Casino setting. The House lost and is not included in the collective of the four men. Teaser: What is greater than God More evil than the devil Poor people have it Rich people need it And if you eat it, you die? Answer: nothing Teaser: On a train, Smith, Robinson, and Jones are the fireman, brakeman, and engineer, but NOT repsectively. Also aboard the are three businessmen who have the same names: a Mr. Smith, a Mr. Robinson, and a Mr. Jones. 1) Mr. Robinson lives in Detroit. 2) The brakeman lives exactly halfway between Chicago and Detroit. 3) Mr. Jones earn exactly $20,000 per year. 4) The brakeman's nearest neighbor, on of the passengers, earns exactly three times as much as the brakeman. file:///E|/temp/Puzzles/Puzzles/btwa.html (4 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive 5) Smith beats the fireman at billiards. 6) The passenger with the same name as the brakeman lives in Chicago. Question: WHO IS THE ENGINEER? Answer: Smith is the engineer, because: the brakeman's nearest neighbor can not be Mr. Robinson, since Mr. Robinson lives in Detroit and the brakeman is halfway from there to Chicago. The brakeman's nearest neighbor can not be Mr. Jones because 20,000 is not evenly divisible by 3. The brakeman's nearest neighbor is one of those 3 passengers, so he must be Mr. Smith. The passenger with the same name as the brakeman lives in Chicago, and we know that Mr. Robinson and Mr. Smith do not live in Chicago, so Mr. Jones must live in Chicago, so the brakeman must be Jones. So Smith is either the fireman or the engineer, but since Smith beats the fireman at billiards, he can not be the fireman, so he must be the engineer. Teaser: You are ill and travelling down a road to the hospital. You reach a fork in the road and find a pair of identical twin boys standing there. One of the twins always tells the truth and the other twin always lies. You are allowed to direct only one question to one of the twins, and as such you will be assured of the correct road to the hospital. What is your question and to whom? Answer: You ask either of the twins "If I asked your twin which path to take to get to the hospital, which way would he tell me to go?" And then I would go in the opposite path of the one I'm told. Because: 1) If I'm talking to the truth telling twin, then he will tell me what his twin would say, which would be a lie. So the direction indicated would be wrong. file:///E|/temp/Puzzles/Puzzles/btwa.html (5 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive 2) If I'm talking to the lying twin, then he would lie about what his twin would say, which would be the truth. So the lying twin would still indicate the wrong path. Teaser: What is something the storeowner doesn't want, The customer doesn't want, And the customer doesn't look at? Answer: a coffin, I know it's a pretty dumb answer to what seems like a cool teaser but it works other unofficial answers include insurance and the bills Teaser: Many years from now, two classmates meet on a street. The following is part of their discussion. Student 1: Yes, I'm married and have three wounderful children. Student 2: That's great! How old are they? Student 1: Well, the product of their ages is 36. Student 2: Hmm. That doesn't tell me enough. Give me another clue. Student 1: OK. the sum of their ages is the number on that building across the street. Student 2: (After a few minutes of thinking with the aid of pencil and paper) Ah ha! I've almost got it but I still need another clue. Student 1: Very well. The oldest one has red hair. Student: I've got it! file:///E|/temp/Puzzles/Puzzles/btwa.html (6 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive What were the ages of the children of student 1? Answer: The answer is that their ages are 9, 2, and 2. There are eight ways that 36 can be factored into 3 numbers (ages), and of these, only 9,2, 2 and 1,6,6 share the same sum. That there is an oldest rules out 1,6,6, giving the answer. Teaser: A man is in another country and is found guilty in a court of law. As he is being locked into his cell the warden is talking to him: We don't have the concept of parole here, and we have indeterminate sentences. You will be incarcerated until you end your sentence yourself. You will notice that there is a combination lock on the inside of your cell door. If you can dial the correct combination, you can open thedoor and leave. The numbers on the dial go from 1 to 100 and it is a five digit combination. You will have to be smart in the way you try the combinations, however, because even if you could dial a number in every second, it would take you a 100 years to get the right combination. We are not without compassion. We have given you everything you need to know to discern the correct combination. The warden ended with "Good luck". And closed the cell door. The man tried a couple combinations that obviously didn't work and then sat down to think about the problem. After a few minutes he did some math calculations on a sheet then stood up and dialed a combination into the lock. The door opened and he was set free. What is the combination? Answer: Combination - 6,30,72,1,1 If it would take 100 years to find the combinatiion, that is equal to 3,153,600,000 seconds (assuming a 365 day year - no leap years) If it takes 1 second per digit, that's 5 seconds per attempt. That means it would take 630,720,000 attempts to find the combination. file:///E|/temp/Puzzles/Puzzles/btwa.html (7 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive Assuming that the attempts are made in ascending numberical order (1 1 1 1 1; 1 1 1 1 2...) The following represents how many attempts it would take to try each combination - i.e. it would take 100 attempts if the 1st four digits are constant and you only changed the 5th, and it would take 10,000 attempts if the 1st three digits are constant and you only changed the 4th and 5th Digit # Attempts 1 10,000,000,000 2 100,000,000 3 1,000,000 4 10,000 5 100 The 630,720,000 required attempts converts to a combination of 6,30,72,1,1 Teaser: There are 3 cannibals and 3 Americans on an island. All 3 Americans can drive the boat, only one cannibal can drive the boat, only two people at a time can fit into the boat. The cannibals can never outnumber the Americans on either side. How do you get all six over to another island? Answer: Here's how the puzzle is solved (after each line, there is a diagram that shows where everyone is at the end of the turn; parathesis means those people are in a boat; the cannibal who can drive is signified by a lowercase 'c'): AAAC(Cc) 1. The cannibal who can drive crosses with a fellow cannibal. file:///E|/temp/Puzzles/Puzzles/btwa.html (8 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive AAAC (c)C 2. He then returns with the boat. AAC(Ac) C 3. He then goes over with an American. AAC A(c)C 4. The driving cannibal returns again. (AA)Cc AC 5. This time two Americans take the boat and make the voyage. Cc (A)AAC 6. One of those Americans returns and gets off as the two remaining cannibals (one of whom can drive) gets on A(Cc) AAC 7. The two cannibals get to the other island A AACC(c) 8. The one who can drive returns. (Ac) AACC 9. Finally, that cannibal picks up the final American, and crosses the water. ( ) AAACCc Teaser: Here's a list of the signs: Room I: The lady is an odd-numbered room. Room II: This room is empty. Room III: Either sign on Room V is right or sign on Room VII is wrong. Room IV: Sign on Room I is wrong. Room V: Either sign on Room II or sign on Room IV is right. Room VI: Sign on Room III is wrong. Room VII: The lady is not in Room I. Room VIII: This room has a tiger and Room IX is empty. Room IX: This room has a tiger and sign on Room VI is wrong. The king told Kecho, "The sign on the door of the room containing the princess is true; the signs on the doors of all the rooms containing the tigers are false; while those on the empty rooms can be either true or false." The king even gave Kecho a hint and told him whether Room VIII was empty or not. Kecho must now open doors until he finds the princess or a tiger and his death. file:///E|/temp/Puzzles/Puzzles/btwa.html (9 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive Which door should he choose? Answer: The princess is in room 7. If the king had told Kecho that Room VIII was empty, it would have been impossible for the him to have found the princess. Since Kecho did deduce where the princess was, the king must have told him that Room VIII was not empty, and Kecho reasoned as follows: It is impossible for the princess to be in Room VIII, for if she were, Sign VIII would be true, but the sign says a tiger is in the room, which would be a contadiction. Therefore, Room VIII does not contain the princess. Also, Room VIII in not empty; therefore, Room VIII must contain a tiger. Since it contains a tiger, the sign is false. Now, if Room IX is empty, then Sign VIII would be true: therefore, Room IX can not be empty. So, Room IX is also not empty. It can not contain the princess or the sign would be true, which would mean that the room contains a tiger; this means Sign IX is false. If Sign VI is really wrong, then Sign IX would be true, which is not possible. Therefore, Sign VI is true. Since Sign VI is true, then Sign III is false. The only way Sign III can be wrong is that Sign V is wrong and Sign VII is right. Since Sign V is false, then Sign II and Sign IV are both false. Since Sign IV is false, then Sign I must be true. Now Kecho knows which signs are true and which signs are false. I- True II- False III-False IV- False V- False VI- True VII-True VIII-False IX- False Kecho now knows that the princess is in either Room I, Room VI, or Room VII, since the others all have false signs. Since Sign I is true, the princess can't be in Room VI. Since Sign VII is true, the princess can not be in Room I. Therefore, the princess is in Room VII. VIII-False IX-False Teaser: file:///E|/temp/Puzzles/Puzzles/btwa.html (10 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive There is a kingdom where all the women have a special power. When they sleep they become aware of all the men in the kingdom who are having an affair with the exception of their own husbands. (Example, a woman goes to sleep and dreams that 20 men are having affairs. She doesn't know if the real number is 20 or 21 since her own husband could be having an affair.) The Queen of the kingdom becomes disgusted at the number of men committing adultery and declares that when the women wake up in the morning they should kill their husbands if the husbands have committed adultery. Nothing happens the next morning. Twenty-three days pass by without incident, but on the morning of the 24th day all of the women with adulterous husbands wake up and kill their husbands. How many husbands were killed and how did the women know their husbands had committed adultery if nobody told them? Answer: There were 24 Unfaithful Husbands shot. This is how the wives know. If there are n unfaithful husbands (UHs), every wife of an UH knows of n-1 UH's while every wife of a faithful husband knows of n UHs. [this because everyone has perfect information about everything except the fidelity of their own husband]. Now we do a simple induction: Assume that there is only one UH. Then all the wives but one know that there is just one UH, but the wife of the UH thinks that everyone is faithful. Upon hearing that "there is at least one UH", the wife realizes that the only husband it can be is her own, and so shoots him. Now, imagine that there are just two UH's. Each wife of an UH assumes that the situation is "only one UH in town" and so waits to hear the other wife (she knows who it is, of course) shoot her husband on the first morning. When no one is shot, that can only be because her OWN husband was a second UH. The wife of the second UH makes the same deduction when no shot is fired the first morning (she was waiting, and expecting the other to shoot, too). So they both figure it out after the first morning, and shoot their husbands the second morning. It is easy to tidy up the induction to show that the n UHs will all be shot just on the n'th morning. file:///E|/temp/Puzzles/Puzzles/btwa.html (11 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive Teaser: guy #1 chops off his leg and mails it to guy #2 guy #2 opens it, wraps it up, and mails it to guy #3 guy #3 opens it, wraps it up, and sends it to guy #4 guy #4 opens it and throws it away. why did this happen? Answer: The guys were stranded (plain crash, sunk ship, whatever) and in order to survive, they decided to each cut off a leg to eat when necessary. They drew straws and each man in turn cut off his leg and they ate it to survive. Guys #2, 3, & 4 had all cut off their legs and they had all shared in the meals, but before Guy #1 had to cut off his leg, they were rescued, so after their return to civilization, to fulfill his part of the bargain Guy #1 cuts off his leg, it gets mailed around as proof of his fulfilling his part of the deal and his leg is finally discarded. Teaser: 3 guys go to rent a hotel room, the room is $30, so they each pay $10 right 10*3=30. Later that night the hotel guy finds out the room is only $25 so he gives $5 to the bell boy to split between the 3 guys. The bellboy did not know how to split $5 in 3 ways so he kept $2 for himself and gave $1 to each guy so the guys only paid $9 a piece right? So if 9+9+9=27+2=29 where is the other dollar? Answer: The math is incorrect. If they had been charged $27.00 for the room originally, they would have each given the man $10.00, and each received $1 change, making the math problem 9+9+9=27, and 27+3=30, the $3 being the key. Instead, the way the problem reads, it is turned into 27+2=29, which is where the confusion lies. The problem should be $25 (room rate) + $2 (what the bellboy kept) = $27, and $27 + $3 (the change the three guys received) = $30. Teaser: file:///E|/temp/Puzzles/Puzzles/btwa.html (12 of 13) [3/31/03 12:06:42 PM] San_Teaser Archive A gentleman who died recently left just over $8000 to be divided between his widow, his five sons, and four daughters. He stipulated that every son should receive three times as much as a daughter, and that every daughter should receive twice as much as their mother. If the proecise amount left by the man was $7999.97 (notice that the figures read the same backward as foward), how much did the widow receive? Answer: there is the widow who gets x amount of dollars, each daughter gets twice that....which is 2x, each son gets 3 times what the daughters got.....which is 6x.......1 widow= 1x plus 4 daughters which is 8x plus 5 sons which is 30x. 1x + 8x + 30x= $7999.97 , 39x= $7999.97, x= $205.127 or $205.13 therefore the widow would recieve $205.13 $205.13 x 39= $8000.07, just over $8000 file:///E|/temp/Puzzles/Puzzles/btwa.html (13 of 13) [3/31/03 12:06:42 PM]
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