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# Puzzle Archives :: Maths Puzzle

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Maths Puzzle Practice Set 6

• Question :: 1

# The Greek philosophers

One day three Greek philosophers settled under the shade of an olive tree, opened a bottle of Retsina, and began a lengthy discussion of the Fundamental Ontological Question: Why does anything exist?

After a while, they began to ramble. Then, one by one, they fell asleep.
While the men slept, three owls, one above each philosopher, completed their digestive process, dropped a present on each philosopher's forehead, the flew off with a noisy "hoot." Perhaps the hoot awakened the philosophers.
As soon as they looked at each other, all three began, simultaneously, to laugh.

Then, one of them abruptly stopped laughing. Why?

No Best Answer on this question yet!

• Question :: 2

X and Y are two different integers, greater than 1, with sum less than or equal to 100. S and P are two mathematicians; S knows the sum X+Y, P knows the product X*Y, and both are perfect logicians. Both S and P know the information in these two sentences. The following conversation occurs:

S says "P does not know X and Y."
P says "Now I know X and Y."
S says "Now I also know X and Y!"

What are X and Y?

No Best Answer on this question yet!

Not Yet Asked in Any of the Companies

• Question :: 3

There are three squares in the picture and it is overlapping and forms 2 more squares.
What is the greatest number of squares you can make by overlapping three squares of the same size?

No Best Answer on this question yet!

• Question :: 4

The Hilton Hotel reserves all its 101 rooms for travelers and each guest is assigned a room in advance. The first guest arrives but has forgotten his room number. The hotel clerk, who does not have access to the reservations book, randomly puts him in one of the rooms. As the rest of the guests arrive they are given their reserved room if available or if already taken, are given a random empty room. What is the chance that the 101st guest gets her
reserved room?

No Best Answer on this question yet!

• Question :: 5

A merchant had a 40 kg measuring weight that broke into four pieces as the result of a fall. When the pieces were subsequently weighed, it was found that the weight of each piece was a whole number of kilograms and that the four pieces could be used to weigh every integral weight between 1 and 40 kg. What was the weight of the pieces?

Note: Weights may be places in either pan of the balance.

No Best Answer on this question yet!

Not Yet Asked in Any of the Companies

Puzzle test enable the companies to check the Logical skills of a candidate. Check out these Puzzle topics with answers for the interview! You can choose a topic and speak up your mind through a Gmail type editor.