UPSC Prelims 2019·CSAT·Logical Reasoning·Deductive Logic

Read the following statements SI and S2 and answer the two items that follow: SI: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan. 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?

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  1. AWeight of Mohan is least
  2. BWeight of Sohan is leastCorrect
  3. CWeight of Rohan is least
  4. DWhose weight is least cannot be determined

Explanation

Let S, M, and R represent the weights of Sohan, Mohan, and Rohan, respectively. Statement S1: "Twice the weight of Sohan is less than the weight of Mohan or that of Rohan." This translates to two inequalities: 1) 2S M 4) 2R > S These inequalities are consistent with Sohan having the least weight and do not contradict our conclusion from S1. For example, if S=1, M=3, R=4, then S1 (23, 8>1) are both true, and Sohan's weight (1) is indeed the least. Therefore, based on the information provided, the weight of Sohan is the least. The final answer is B) Weight of Sohan is least.
Logical Reasoning: Read the following statements SI and S2 and answer the two items that follow: SI: Twice the weight of Sohan is less than

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