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Thursday, February 28, 2008
One night our favorite professor was wakened suddenly and realized that the clock had chimed but he did not know how many times. As he lay awake thinking about nothing in particular he heard the birdie cuckoo once and he started to wonder what time it was.
What is the longest amount of time Professor Egghead would have to lie awake before he knew for sure what time it was?
The bridges can only support two people crossing at a time.
Each person has a different speed in which they can cross: 10 minutes, 7 minutes, 5 minutes, 2 minutes, and 1 minute.
They only have two flashlights to share between them. A pair of people can share one flashlight, which means there can be one pair of people on each of the two bridges at the same time.
If the short time it takes to get from the first bridge to the second can be ignored, what is the shortest amount of time it will take for all five people to cross both bridges?
Wednesday, February 27, 2008
Sunday, February 24, 2008
Friday, February 22, 2008
In one group you would find any of the following fruits:
apple, banana, grape, and orange.
In a different area you would find fruits like:
mango, nectarine, peach, and pear.
One day a new crate of fruit arrived and the young man wasn't sure where to put it. Where would you put a crate labeled strawberry?
Tuesday, February 19, 2008
Can you replace F with a word that starts with the letter 'F' and replace Y with a word that starts with the letter 'Y' to solve the puzzle?
Monday, February 18, 2008
The following 15 clues are all you need to solve this Logic Problem:
1. There are five hunting cabins on a lake. Each cabin is a different color, and is inhabited by a man of a different nationality, each drinking a different kind of liquor, firing a different brand of shotgun shell, and shooting a different duck.
2. The Englishman lives in the red cabin.
3. The Pole shoots only bluebills.
4. Bourbon is drunk in the green cabin.
5. The Finn drinks beer.
6. The green cabin is immediately to the right (your right) of the brown cabin.
7. The hunter who uses Winchester shells shoots mallards.
8. Remington shells are shot in the yellow cabin.
9. Brandy is drunk in the middle cabin.
10. The Norwegian lives in the first cabin on the left.
11. The man who buys Federal shells lives in the cabin next to the cabin of the man who shoots red heads.
12. Remington shells are used in the cabin next to the cabin where canvasbacks are shot.
13. The hunter who shoots Western shells drinks gin.
14. The Irish man loads up with Peters shells.
15. The Norwegian lives next to the blue cabin.
Your mission, should you decide to accept it, is to figure out who drinks Scotch and who shoots the teal.
Friday, February 15, 2008
I'm not even sure if this one has a real solution or if it's only meant as a joke, but either way it will keep you busy (and baffled!) for a very long time.
Ten years from now Tim will be twice as old as Jane was when Mary was nine times as old as Tim. Eight years ago, Mary was half as old as Jane will be when Jane is one year older than Tim will be at the time when Mary will be five times as old as Tim will be two years from now. When Tim was one year old, Mary was three years older than Tim will be when Jane is three time as old as Mary was six years before the time when Jane was half as old as Tim will be when Mary will be ten years older than Mary was when Jane was one-third as old as Tim will be when Mary will be three times as old as she was when Jane was born.
How old are they now?
Thursday, February 14, 2008
When he told his neighbors about his plan they all laughed and told him it was impossible to plant ten trees so that you have five rows of trees with four trees in each row.
The following year this is what his neighbors saw:
A few years later the same farmer was given six more apple trees: a Stayman, a Fortune, a Cortland, a Honeycrisp, a Macoun, and a Northern Spy. Six trees wasn't enough to create another star pattern of trees so he came up with a new plan. He changed the planned orchard and planted the six new trees so that all sixteen apple trees were placed in fifteen rows with four trees in each row.
What did the farmer's apple orchard look like when he was done?
Tuesday, February 12, 2008
How much profit did the art dealer make in her transactions?
Monday, February 11, 2008
This made the professor wonder, how many different calendars would you need to have in order to represent every possible combination of yearly calendar?
Friday, February 8, 2008
If one of the socks he was wearing was black, what is the probability that the other one was also black?
|1. The cube of a whole number||1. A number that is unchanged if the digits are reversed|
|5. The number of square inches in a square yard||2. A prime number.|
|6. The number of cubic inches in a cubic foot.||3. The number of feet in a mile.|
|7. The number of millimeters in a meter.||4. The number of seconds in an hour.|
Thursday, February 7, 2008
Can you find a way for all four men to cross in 17 minutes or less?
For instance, if you write the (x,y) pair (1,3) in the top left cell, then you can not have any other pairs with an x value of 1 or a y value of 3 in the top row, the left-most column, or the main diagonal that runs from the top left to the bottom right.
This puzzle can be solved fairly quickly and is not quite as difficult as it may seem.
Wednesday, February 6, 2008
You are placed in a room with two doors. Behind one door is a ferocious tiger, behind the other is your escape. 30 feet above each door is a window where a man is sitting. One man always tells the truth, the other is a constant liar. You may ask only one question.
What one question do you ask and to which man do you pose that question so that you are assured to reach freedom and not be eaten by the tiger. Remember; you don't know which man is honest and which one lies.
Monday, February 4, 2008
As I was going to St. Ives,
I met a man with seven wives.
Each wife had seven sacks,
Each sack had seven cats,
Each cat had seven kits.
Kits, cats, sacks, wives,
How many are going to St. Ives?
Friday, February 1, 2008
In the diagram below (click on the image to get a larger version) you see two figures made up from the same pieces. In the upper figure the colored pieces are arranged so that the area of the figure is (13 x 5) ÷ 2 = 32.5 tiles. In the lower figure, the same colored pieces have been rearranged so that the area of the figure is (13 x 5) ÷ 2 - 1 = 31.5 tiles (the -1 is for the missing tile above the number 8.)
This is not an optical illusion; the grid lines are there to help demonstrate that all the squares are uniform. Feel free to print out a copy of the picture, cut out the colored pieces in one of the figures and lay them out on top of the other figure to prove that they are indeed the same size.
How can it be possible to disect a polygon, rearrange the order of the pieces and end up with less (or more) space than was used before?