Comprehension
These questions are based on the situation given below. Ten coins are to be distributed among P, Q, R, and S, such than 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.
Question: 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?
If the number of coins distributed to Q is twice the number distributed to P, then which one of the following is necessarily true?
Show Hint
In coin distribution problems, carefully analyze the relationships between the quantities to determine the constraints for each individual’s share.
Updated On: Aug 5, 2025
- R gets an even number of coins.
- R gets an odd number of coins.
- S gets an even number of coins.
- S gets an odd number of coins.
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The Correct Option is A
Solution and Explanation
Let’s assume the number of coins distributed to P is \( x \). Then, the number of coins distributed to Q will be \( 2x \). The number of coins distributed to R will be \( y \), and to S will be \( z \). We know that the total coins must be distributed in such a way that:
\[
x + 2x + y + z = 10
\]
Considering that Q gets more coins than P and S gets fewer coins than R, we can deduce that R gets an even number of coins.
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Question: 2
If R gets at least two more coins than S, then which one of the following is necessarily true?
If R gets at least two more coins than S, then which one of the following is necessarily true?
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In coin distribution, consider the relationships between the players to determine the exact distribution satisfying all conditions.
Updated On: Aug 5, 2025
- Q gets at least two coins more than S.
- Q gets more number of coins than P.
- P gets more coins than S.
- P and Q together get at least five coins.
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The Correct Option is B
Solution and Explanation
Given that R gets at least two more coins than S, we know that the total number of coins for R and S is fixed. Therefore, Q must get more coins than P to satisfy the condition of having more coins than both. The answer is option (2).
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Question: 3
If Q gets fewer coins than R, then which of the following is not necessarily true?
If Q gets fewer coins than R, then which of the following is not necessarily true?
Show Hint
When solving for distributions with inequalities, ensure to check all constraints and exceptions for each option before concluding the Correct Answer.
Updated On: Aug 5, 2025
- P and Q together get at least four coins.
- S and Q together get at least four coins.
- R and S together get at least five coins.
- P and R together get at least five coins.
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The Correct Option is D
Solution and Explanation
If Q gets fewer coins than R, the total distribution of coins could vary. However, it is not necessarily true that P and R together will get at least five coins, as this depends on how the coins are distributed among the players.
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