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"P" Riddles - Next 10 of 4627.
Riddle:
How many cats are in a small room if in each of the four corners a cat is sitting, and opposite each cat there sit three cats, and a each cat's tail another is sitting?
Answer: Four cats, each near a tail of a cat in an adjacent corner.
Riddle:
When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs of numbers each adding to 101.
Answer: 50 X 101=5,050.
What is the sum of all the digits in integers from 1 through 1,000,000,000? (That's all the digits in all the numbers, not all the numbers themselves.)
Answer: The numbers can be grouped by pairs:
999,999,999 and 0;
999,999,998 and 1'
999,999,997 and 2;
and so on....
There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then:
(500,000,000 X 81) + 1= 40,500,000,001.
Riddle:
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. How do you do it? Note that you cannot send a key in an unlocked box, since it might be copied.
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.
Riddle:
Oh, what a surprise! Oh, what a miracle! It sprouted without a seed, It stood without a trunk. What is it?
Answer: The world.
Riddle:
Some say we are red, some say we are green. Some play us, some spray us.
What are we?
Answer: Pepper.
Riddle:
A camel travels a certain distance each day. Strangely enough, two of its legs travel 30 miles each day and the other two legs travel nearly 31 miles. It would seem that two of the camel's legs must be one mile ahead of the other two legs, but of course this can't be true.
Since the camel is normal, how is this situation possible?
Answer: The camel operates a mill and travels in a circular clockwise direction. The two outside legs will travel a greater distance than the two inside legs.
Riddle:
A boy presses a side of a blue pencil to a side of a yellow pencil, holding both pencils vertically. One inch of the pressed side of the blue pencil, measuring from its lower end, is smeared with paint. The yellow pencil is held steady while the boy slides the blue pencil down 1 inch, continueing to press it against the yellow one. He returns the blue pencil to its former position, then again it slides down 1 inch. He continues until he has lowered the blue pencil 5 times and raised it 5 times- 10 moves in all.
Supposed that during this time the paint neither dries nor diminishes in quantity. How many inches of each pencil will be sneared with paint after the tenth move?
Answer: At the start, 1inch of the yellow pencil gets smeared with wet paint. As the blue pencil is moved downward, a second inch of the blue pencils smears a second inch of the yellow pencil.
Each pair of down and up movesof the blue pencil smears 1 more inch of each pencil. 5 pairs of moves will smear 5 inches. This together with the initial inch, makes 6 inches for each pencil.
Riddle:
0,1,2,3,4,5,6,7,8,9
How can you use the digits above once each only to compose two fractions which when added together equal 1?
Answer: 35/70 + 148/296 = 1
Riddle:
A box of hardware contains nuts and bolts. The bolts account for 25 percent of the number of items in the box. What percentage are the bolts of the entire box?
Answer: 20 percent. For example, there are 10 bolts. Since the number of bolts is 25 percent of the number of items, there must be 40 nuts. The total number of items = 10 bolts + 40 nuts = 50. So, 10/50 = 1/5 = 20%.
Riddle:
What three letters change a girl into a woman?
Answer: Replace the letters G, I, and R with the three letters A, D, and Y. The word "lady" is another word for woman. Other possible answers: AGE, MRS, MOM...
