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Maths Puzzle Practice Set 3

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# A Farmer Challenges an Engineer a Physicist and a Mathematician.

A farmer challenges an engineer, a physicist, and a mathematician to fence off the largest amount of area on earth using the least amount of fence.

The engineer made his fence in a large circle and said it was the most efficient.

The physicist made a long line and said that the length was infinite. Then he said that fencing half of the Earth was the best.

The mathematician laughed at the others and with his design, beat the others. What did he do?

No Best Answer on this question yet!

**Asked In :**Capgemini2 / 57

# Parrots and Cages

Tina has some parrots and some cages for the parrots. If she put 4 parrots into each cage then she will have 1 cage left. If she put 3 parrots into each cage then she will have 1 parrot left over. How many parrots and cages does she have?

No Best Answer on this question yet!

**Asked In :**Capgemini3 / 57

# Chain Nail

There is a chain nailed to the wall. The chain is 10 feet long and the center of the chain dips down 5 feet from where each side of the chain is nailed to the wall. How far are the 2 ends of chain from each other?

No Best Answer on this question yet!

**Asked In :**Capgemini4 / 57

# Grandpa's Age

Two boys don't know the age of each other, one day they met grandpa and asked him about his age. Grandpa said:"The addition of digit in the tens place and the digit in one's place of my age is equal to the subtraction of digit in the tens place and the digit in ones place of the age of one of you." The two guys thought hard but didn't figure it out. The second day, they came to ask grandpa again, grandpa said:"My age is equal to the multiplication of the addition and subtraction of your ages." The two guys could not figure it out. The third day, they came to grandpa, grandpa said:"My age = (age of one of you)*7 - (age of the other)*4" The two poor boys still could not figure it out, the forth day, grandpa said:"One of you, whose age I didn't refer to in the first day, exchange his age's digit in tens place with digit in ones place, then minus the addition of the digit in tens place and the digit in ones place, the result is equal to my age." Can you figure out grandpa's age?

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# Spiderman's Girlfriends

Spiderman has two girlfriends, Mary Jane & Gwen Stacy.

After completing every mission, he rushes to the central subway. Since spidey is a nice man, much impartial, he takes which-ever train arrives first. From the subway, one series go towards Mary's place, and another series move towards Stacy. Trains from either series appear every 10 minutes. Also, Peter Parker sticks with the train which arrives first.

But somehow, he notices that he is spending 9 times more dates with Mary Jane than Stacy. Can you explain why?

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# 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!

**Asked In :**Sapient7 / 57

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?

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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?

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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?

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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.

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