UGC-NET | UGC-NET CS 2017 Dec 2 | Question 8

Let P and Q be two propositions, ¬ (P ↔ Q) is equivalent to:

(I) P ↔ ¬ Q
(II) ¬ P ↔ Q
(III) ¬ P ↔ ¬ Q
(IV) Q → P

(A) Only (I) and (II)
(B) Only (II) and (III)
(C) Only (III) and (IV)
(D) None of the above

Answer: (A)

Explanation: We know that ¬(P ↔ Q) = (¬P ↔ Q) = (P ↔ ¬Q) = ¬(¬P ↔ ¬Q)

Only statement (I) and (II) are correct.
So, option (A) is correct.

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