Civil Services Prep

Prelims 2026 · CSAT / Logical Reasoning · Question 36

There are four statements X, Y, Z and W. Their relations are as follows: If X is incorrect, then so is Z; if Y is incorrect, then W is correct; if W is correct, then X is incorrect. Which of the following is/are correct?

I. If X is correct, then so is Y.
II. If Z is correct, then it is not necessary that Y is correct.

Select the answer using the code given below.

  1. I only
  2. II only
  3. Both I and II
  4. Neither I nor II

Answer

I only

Given: ¬X → ¬Z, ¬Y → W, and W → ¬X. From ¬Y → W → ¬X, we get ¬Y → ¬X, so by contrapositive X → Y. Hence I is correct. Also, ¬X → ¬Z gives the contrapositive Z → X; and since X → Y, we get Z → Y. So if Z is correct, Y must be correct. Hence II is false.

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