Coin Distribution

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(CAT 1999)

Ten coins are distributed among four people P, Q, R and S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.

1. If the number of coins distributed to Q is twice the number distributed to P, then which one of the
following is necessarily true?
a. R gets an even number of coins.
b. R gets an odd number of coins.
c. S gets an even number of coins.
d. S gets an odd number of coins.

2. If R gets at least two more coins than S, then which one of the following is necessarily true?
a. Q gets at least two more coins than S.
b. Q gets more coins than S.
c. P gets more coins than S.
d. P and Q together get at least five coins.

3. If Q gets fewer coins than R, then which one of the following is not necessarily true?
a. P and Q together get at least four coins.
b. Q and S together get at least four coins.
c. R and S together get at least five coins.
d. P and R together get at least five coins.

For answers click here.

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