CAT 1999 | Question: 76

Question

Answer the question based on the following information.
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.

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.

Answer 1

B) Q gets more coins than S.

As, $\text{P<Q}$

and $\text{S+2<=R}$

S must get within $1$ or $2$ coins

then if P gets $1$ coin S gets $2$ coin or vice versa