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CAT 1999 | Question: 77

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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 Q gets fewer coins than R, then which one of the following is not necessarily true?

  1. P and Q together get at least four coins.
  2. Q and S together get at least four coins.
  3. R and S together get at least five coins.
  4. P and R together get at least five coins.

1 Answer

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C) R and S together get at least five coins.

R min can get $3$ coins
S min can get $1$ coin
So, both min can get $4$ coins
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