Based on the statements:
S1 : 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?

Correct Option: 'Whose weight is least' cannot be determined

Let the weights of Sohan, Mohan, and Rohan be S, M, and R. Statement S1: 2S < M or 2S < R. Statement S2: 2R > M or 2R > S. We need to determine if the least weight can be uniquely identified. Let us test with specific numbers. Scenario A: Let S = 4, M = 10, R = 12. Check S1: 2(4) = 8, which is less than M (10). Condition met. Check S2: 2(12) = 24, which is greater than M (10). Condition met. Here, Sohan has the least weight (4). Scenario B: Let S = 4, M = 3, R = 10. Check S1: 2(4) = 8, which is not less than M (3), but 2(4) = 8 is less than R (10). So '2S < R' is true, satisfying S1. Check S2: 2(10) = 20, which is greater than M (3). Condition met. Here, Mohan has the least weight (3). Since different assignments of weights satisfy both statements while changing which person has the least weight, the least weight cannot be uniquely determined from the given statements. Therefore, option D is correct.