IAS 2019 — CSAT Reasoning

2019mcqmedium

Read the following statements SI and S2 and answer the item that follow:

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?

Official previous-year question

Verified 2 Aug 2026.

Options

AWeight of Mohan is greatest
BWeight of Sohan is greatest
CWeight of Rohan is greatest
D‘Whose weight is greatest’ cannot be determined

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Solution

Correct Option (D)

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 implies the inequalities: 2S < M and 2S < R.
- From these, it is clear that S < M and S < R. Therefore, Sohan's weight is not the greatest among the three.
Statement S2: "Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan."
- This implies the inequalities: 2R > M and 2R > S.
- The condition 2R > S further confirms that Sohan is not the heaviest.
- The condition 2R > M establishes a relationship between Rohan and Mohan. However, this inequality alone does not definitively determine whether R > M or M > R. For example:
  - If M = 100 units and R = 60 units, then 2R = 120, which is greater than M. In this case, M is greater than R.
  - If M = 60 units and R = 100 units, then 2R = 200, which is greater than M. In this case, R is greater than M.

Since the precise weight relationship between Mohan and Rohan cannot be conclusively established from the given statements, it is not possible to determine whose weight is the greatest.

Incorrect Options:

Option A (Weight of Mohan is greatest): This cannot be definitively concluded. While Mohan is heavier than Sohan (S < M from S1), the relationship between Mohan and Rohan (2R > M from S2) does not guarantee that Mohan's weight is the greatest. As demonstrated, Rohan could be heavier than Mohan, or Mohan could be heavier than Rohan, while satisfying the condition 2R > M.
Option B (Weight of Sohan is greatest): This is incorrect. Statement S1 (2S < M and 2S < R) clearly indicates that Sohan's weight is less than both Mohan's and Rohan's weights, making Sohan the lightest, not the greatest.
Option C (Weight of Rohan is greatest): This cannot be definitively concluded. While Rohan is heavier than Sohan (S < R from S1 and 2R > S from S2), the condition 2R > M from S2 does not guarantee that Rohan is heavier than Mohan. Scenarios exist where Mohan's weight is greater than Rohan's, yet 2R > M holds true.

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Correct Option (D)

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 implies the inequalities: 2S < M and 2S < R.
- From these, it is clear that S < M and S < R. Therefore, Sohan's weight is not the greatest among the three.
Statement S2: "Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan."
- This implies the inequalities: 2R > M and 2R > S.
- The condition 2R > S further confirms that Sohan is not the heaviest.
- The condition 2R > M establishes a relationship between Rohan and Mohan. However, this inequality alone does not definitively determine whether R > M or M > R. For example:
  - If M = 100 units and R = 60 units, then 2R = 120, which is greater than M. In this case, M is greater than R.
  - If M = 60 units and R = 100 units, then 2R = 200, which is greater than M. In this case, R is greater than M.

Since the precise weight relationship between Mohan and Rohan cannot be conclusively established from the given statements, it is not possible to determine whose weight is the greatest.

Incorrect Options:

Option A (Weight of Mohan is greatest): This cannot be definitively concluded. While Mohan is heavier than Sohan (S < M from S1), the relationship between Mohan and Rohan (2R > M from S2) does not guarantee that Mohan's weight is the greatest. As demonstrated, Rohan could be heavier than Mohan, or Mohan could be heavier than Rohan, while satisfying the condition 2R > M.
Option B (Weight of Sohan is greatest): This is incorrect. Statement S1 (2S < M and 2S < R) clearly indicates that Sohan's weight is less than both Mohan's and Rohan's weights, making Sohan the lightest, not the greatest.
Option C (Weight of Rohan is greatest): This cannot be definitively concluded. While Rohan is heavier than Sohan (S < R from S1 and 2R > S from S2), the condition 2R > M from S2 does not guarantee that Rohan is heavier than Mohan. Scenarios exist where Mohan's weight is greater than Rohan's, yet 2R > M holds true.

IAS 2019 — CSAT Reasoning

Options

Did you get this right?

Solution

Correct Option (D)

Incorrect Options:

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IAS 2019 — CSAT Reasoning

Options

Did you get this right?

Solution

Correct Option (D)

Incorrect Options:

Your note

IAS Reasoning in other years

More IAS Reasoning questions

Other CSAT topics for IAS

Comprehension

Maths

Keep practicing Reasoning