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Q #51
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Quants Question

Directions : These questions are based on the data given below.

Five pirates raid the ship of a wealthy bureaucrat and steal his trunk of gold pieces. By the time they get the trunk aboard, dusk has fallen, so they agree to split the gold the next morning. But the pirates are all very greedy. During the night one of the pirates decides to take some of the gold pieces for himself. He sneaks to the trunk and divides the gold pieces into five equal piles, with one gold piece left over. He puts the gold piece in his pile, hides it, puts the other four piles back in the trunk, and sneaks back to bed. One by one, the remaining pirates do the same. They sneak to the trunk, divide the coins into five piles, with always one coin left over. Each pirate puts the gold coin in his own pile, hides it, and puts the remaining four piles back in the trunk. What is the smallest number of pieces there could have been in the trunk originally?

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Q #52
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Quants Question

Directions : These questions are based on the data given below.

In a number system the product of 44 and 11 is 2124. The number 3111 of this system, when converted to the decimal number system, becomes:

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Q #53
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Quants Question

Directions : These questions are based on the data given below.

Sudheer has certain number of toffees between 80 and 100 with him. If he distributes them equally among all his 4 children, there will be 3 left. If he distributes them equally among his wife and children, he is left with four toffees. If he decides to distribute the toffees amongst himself, his wife and children how many will be left over?

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The number of toffees will be {(LCM of 4&5)k-1}i.e, 20k-1 since this is the number between 80 and 100, it can only be for k = 5 or 99 toffees. If they are divided among 6 people, there will be three left.

Q #54
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Quants Question

Directions : These questions are based on the data given below.

I had some sweets (less than 80) with me. I distributed them among Sachin and Saurav. After distributing the sweets, it was found that both of them had got a different number of sweets, but both the numbers had the same unique properties. Both the numbers could be expressed as the sum of the squares of two different numbers and also as the difference of the cubes of two different numbers. How many sweets did I distribute to the two of them?

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26 + 37 = 63.

Q #55
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Quants Question

Directions : These questions are based on the data given below.

Imagine you have 26 constants labeled A to Z. Each constant is assigned a value in the following manner: A = 1 B = 2C (2 raised to the power of the position value of C in the alphabet, i.e., 23) C = 2D (2 raised to the power of the position value of D in the alphabet, i.e. 24) and so on till Z = 2A (2 raised to the power of the position value of A in the alphabet, i.e. 21) What is the exact numerical value of the following expression? (T – A)* (T – B)* …..(T – Y)* (T – Z)

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None of the above because (T – T) = 0