| 301. What is the area of the largest ellipse that can fit inside of a 3-4-5 right triangle? | Answer 19 |
| 302. How could one plant thirteen trees so that there are nine straight rows of four trees each? | Answer 19 |
| 303. A old woman had four pets: a cat, a dog, a hamster, and a bird. She named her pets (in alphabetical order) Alphonso, Barnabas, Cornelius, and Dexter. The pets didn't always get along with each other. Although Cornelius and the bird would play together, neither Alphonso nor the dog would play with Barnabas. The cat would play with both Dexter and the bird. Sometimes Barnabas was jealous of the hamster. What name did the old woman give to each of her pets? | Answer 19 |
| 304. A man has a set of six differently-shaped objects. The
objects are shaped like a sphere, a cylinder, a cube, a torus, a pyramid, and a cone. Each
object has a different mass. The masses are 1 gram, 2 grams, 3 grams, 4 grams, 5 grams and
6 grams. Using a balance, the man discovers the following: The sphere plus the cylinder balance the cube. The cylinder plus the cube balance the torus. The pyramid plus the cube balance the cone. What is the mass of each object? |
Answer 19 |
| 305. If 7 people all meet, and they all shake hands with one another only once, how many handshakes took place? What is the general formula for n people? | Answer 19 |
| 306. Only one of the following statements about a particular hand
of cards is true: 1. There is a king in the hand, or an ace, or both. 2. There is a queen in the hand, or an ace, or both. 3. There is a jack in the hand, or a ten, or both. Is it possible that there is an ace in the hand? |
Answer 19 |
| 307. The first two letters signify a man, the first three letters signify a woman, the first four letters signify a great man, and all the letters signify a great woman. | Answer 19 |
| 308. A traffic sign word has eight letters. Take out three letters. The three letters are an abreviation of he eight letter word. After taking out the three letters, the remaining five letter word means the same as the original eight letter word. What is the word? | Answer 19 |
| 309. An advertisement appearing in magazines shows a car stopped
at the very edge of the Grand Canyon, and next to that car a set of tire tracks that zoom
off of the edge. A bubble above the car says, "Jeep Grand Cherokee (70-0 MPH in 186 ft)", and a bubble pointing over the cliff says, "Competition (70-0 MPH in 2953 ft)". If we assume that the car deccelerates at a constant rate, how much time does it take for the Grand Cherokee to stop? |
Answer 19 |
| 310. A pedestrian who had a hat and a stick in his hands was
walking home upstream along the side of the river with a speed which was one and a half
times greater than the speed of the current. While walking, he threw his hat into the
river. "Oh no!" he said to himself a little while later, "I meant to throw
the stick in!". He promptly threw the stick in the water and turned around. He ran
back towards his hat with a speed which was twice that with which he had walked before. As
soon as he caught up with his hat, he plucked it out of the water and turned to walk in
the same direction and with the same speed as before. 40 seconds after he got his hat, he
passed the stick, which was floating downstream. How much earlier would he have gotten home if he had not mixed up his hat with the stick? |
Answer 19 |
| 311. Every morning for a week, a man climbs the stairs to his
office and counts as he goes. On Sunday, he counts the steps by 2's and has 1 step left over at the top. On Monday, he counts the steps by 3's and has 2 steps left over at the top. On Tuesday, he counts the steps by 4's and has 3 steps left over at the top. On Wednesday, he counts the steps by 5's and has 4 steps left over at the top. On Thursday, he counts the steps by 6's and has 5 steps left over at the top. On Friday, he counts the steps by 7's and has 6 steps left over at the top. On Saturday, he counts the steps 1-by-1. How many stairs are there? |
Answer 19 |
| 312. You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same? | Answer 19 |
| 313. Place the numbers 1, 2, 3, 4, 5, 6, 7, 8 into the '[ ]' on
the grid so that consecutive numbers do not "touch" each other: X [ ] [ ] X [ ] [ ] [ ] [ ] X [ ] [ ] X For example, the following combination does not work, because 5 and 6 touch: X 1 3 X 4 8 5 7 X 6 2 X |
Answer 19 |
| 314. Fifteen people decide to march every morning. They
start with the distance of one kilometre an d every day they increase that distance by 1
kilometre. Each morning, they will march in 5 rows of 3 people each; but they want to do
so in a way so that no two people share a row more than once. When no new marching
configuration can be made they cease their daily macch. How many kilometres (max) can they
march in total? |
Answer 19 |
| 315. "I put your cakes in the kitchen," said
Sam. "Three different sorts, 12 cents, 14 cents, and 17 cents. Just two dollars
altogether." "That's fine," his mother declared. "How many did you
buy?" The boy told the total number, and his mother went on reading. But some moments
later she stopped, and then did some figuring on a scrap of paper. "I still can't
tell how many you got of each," she said. "Did you buy only one of one
sort?" Sam answered her question. Only one word, but enough to clear up any doubts as
to the details of his purchase. How many had he bought at each price? Give the unique solution and your argument it is unique. Give also the one word Sam answered his mother's question. |
Answer 19 |
| 316. I am standing inside my house, looking out of the window at a
10 foot cube, made of metal bars. On the window are markings that exactly line up with the
cube in the yard (at least from where I am standing). The markings make a drawing of a
cube in perspective on the window. In the drawing on the window, the front face of the cube measures 2 feet in width and height, and the back face measures 10/7 feet in width and height. How far am I standing from the window? How far am I standing from the real cube? |
Answer 19 |
| 317. One day it started to snow at a heavy and steady rate. A snowplow started out at noon cleaning two miles of the road the first hour and one mile the second hour. The plow's speed is inversely proportional to the thickness of the snow. What time did it start to snow? | Answer 19 |
| 318. Taking A=1; B=2; C=3 down to Z=26, find the highest scoring two-letter word, three-letter word, four-letter word, etc. | Answer 19 |
| 319. The year 2000 can be represented as the sum of consecutive integers: 2000 = 398 + 399 + 400 + 401 + 402. The year 2001 can be represented as the sum of consecutive integers: 2001 = 1000 + 1001. In fact, every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year can NOT be represented as the sum of consecutive integers? And why not? |
Answer 19 |
| 320. A merchant went out of town for a vacation. When he returned, he found a note from his assistant saying, "The hotel down the road ordered [smudge] liters of wine. The hotel on the other side of town ordered twice as much. The pub ordered some beer. I've filled the barrels for you." Sure enough, in the cellar he finds 6 barrels marked: 15 liters, 16 liters, 18 liters, 19 liters, 20 liters, and 31 liters. Which barrel contains the beer, and why? | Answer 19 |
| 321. You have $100 and with that amount you need to buy 100 animals (exactly) A cow costs $10, a sheep costs $1, and you can buy 8 rabbits for $1. You have to buy at least one of each animal. How many animals of each type do you need to buy? | Answer 19 |
| 322. Once upon a time a man is visiting in the home of a friend. While he was there he heard children playing in the back yard. "Are those your children?" the man asked his host. The host replied, "Some of them are mine. The rest of them are from my sister's, my aunt's, and my cousin's families." He went on. "I have the most children, my sister the next most, my aunt the next most, and my cousin has the fewest children of all. They are playing drop the hanker chief. They prefer baseball but there are not enough of them to make two teams." "Strangely enough," he continued, "if you take the product of the number of children in each family, it will give you my house number, which you saw when you came in". The visitor then said, "I am something of a mathematician. Let me see if I can deduce the number of children in each family." After a few minutes, he asked, "Is there a single child in your cousin's family?" The host answered his question. The man then said, "Knowing your house number and knowing the answer to that question, I can now deduce the exact number of children in each family." Can you? | Answer List 19 |
| 323. You live in a remote part of the world. You have basic arithmetic skills but no knowledge of Pi or of its existence. You need to find the area of a wheel on the ground in front of you. You can measure accureately the diameter of the wheel. You can find its circumference by rolling it one complete revolution and measuring the distance travelled but can you calculate the area of the wheel and how? | Answer 19 |
| 324. Take ten coins on which you stick a piece of paper each with one distinct number from 0 to 9. Then form a triangle of four coins on each side and one in de middle. Do this in such a way that each side adds up to the same total. 1. What is the highest total per side you can make? 2. What is het lowest total per side you can make? 3. What other totals can you make? |
Answer 19 |
| 325. Sam stood in the doorway. "It's an odd shape." he said. "Rectangular and somewhere near three times as long as it's wide." "I guess I'm odd too, wanting a bound wall to wall rug for this little room." Mary laughed. "But that's what I want." "Well, I'll make a special price." Sam started measuring. "One cent for each inch of all four edges, and one cent for every square inch of area. Any fraction of an inch counts as an inch." He rolled up his tape and did some figuring. "We'll make a nice job of it, and the whole thing will cost you exactly a hundred bucks." That seems a lot for such a small rug! What were its maximun dimensions to be? | Answer 19 |
| 326. You are in a castle in which two types of people live, knights and fools. The knights always tell the truth, but
the fools always lie. In a room 10 residents are gathered and they all know each other. So I ask each of them: How many knights are there in this room? They answer, one after the other: 3; 2; 5; 7; 3; 0; 4; 4; 3; 5; How many knights are there in the room? |
Answer 19 |
| 327. We have two pairs, a total of four, Our two lovely pairs have a length of no more. All four are from five, only 5 of them all, Between our first and Our last, the difference is small. Take half of Our pairs, and be at the end, We are ready and willing, just waiting to send. We can be a big pain, and can cause a great bore, And We know this is true, 'cause you have been there before. |
Answer 19 |
| 328. The solution to this puzzle really is right in front of you.... This is the entire number sequence: 1, 5, 3, 3, 3, 4, 5, 6, 8, 7, 8, 9, 7, 6, 9, 10, 1, 4, 2, 5, 7, 4, 2, 2, 6,1 Identify the sequence. |
Answer 19 |
| 329. I bought a roll of brown packing tape from the $2 shop but the label which showed how many metres were in the roll was missing. The cardboard former around which the tape is wound has an outer diameter of 8 cm and the outer diameter of the roll itself is 12 cm. If the thickness of the tape is 0.1 mm how many whole metres of tape are there in the roll ? | Answer 19 |
| 330. You are given a rope of 40 meters length. The task is to divide the rope in no more than 4 pieces with which you can "measure" each and every integer from 1 to 40. 1 meter represents the number 1 and so on... If you have one length of 7 and one of 8 meters, then you can build numbers 1 (put 7 next to 8), 7, 8 and 15. What lengths should you cut the rope in? | Answer 19 |
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