CSATLogical ReasoningRanking and Order2019

Read the following statements S1 and S2 and answer the two items that follow: 1. S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan. 2. S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan. Which one of the following statements is correct?

A

Weight of Mohan is least

B

Weight of Sohan is least

C

Weight of Rohan is least

D

'Whose weight is least' cannot be determined

Correct Answer: Option B

Explanation

1. **Analyze Statement 1:** 'Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.'\n2. **Decode Linguistic Masking:** In the context of finding a definitive 'least' weight, the phrase 'less than M or R' acts as a universal constraint against the group. It translates to: (2 * Sohan) < Mohan AND (2 * Sohan) < Rohan [3].\n3. **Apply Inequality Logic:** \n - If $2S < M$, then Sohan's weight is less than half of Mohan's. Since weights are positive, Sohan is strictly lighter than Mohan ($S < M$).\n - Similarly, if $2S < R$, then Sohan is strictly lighter than Rohan ($S < R$) [39].\n4. **Conclusion from S1:** Since Sohan is lighter than both Mohan and Rohan, Sohan has the least weight.\n5. **Check Redundancy:** We have found the answer using only S1. We do not need to process S2 ('Twice Rohan...'). This saves time and avoids potential confusion from extra data [30].\n6. **Final Verification:** The options allow for a definitive answer, confirming our interpretation of 'or' was correct.

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