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.

Question

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.

Accepted Answer

I only

Explanation: Given relations: ¬X ⇒ ¬Z; ¬Y ⇒ W; W ⇒ ¬X. Chaining these: ¬Y ⇒ W ⇒ ¬X ⇒ ¬Z. Taking the contrapositive (reversing and negating): Z ⇒ X ⇒ ¬W ⇒ Y. This shows X ⇒ Y (Statement I is correct) and Z ⇒ Y (Statement II is incorrect, as Y must be correct if Z is correct). Therefore, only Statement I is correct, making Option 1 the correct answer.

Detailed Explanation:

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