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Question 5Asked in UGC NET Computer Science, November 2017 (Paper II & III, Selected Questions)

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

  1. AP ↔ ¬Q
  2. B¬ P ↔Q
  3. C¬ P ↔ ¬ Q
  4. DQ → P
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Correct answer: (A) P ↔ ¬Q

Explanation

P ↔ Q = P'Q' + PQ, so ¬(P ↔ Q) = P'Q + PQ', which is true exactly when P and Q differ. This is the same as P ↔ ¬Q (and ¬P ↔ Q).

From UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions)

This is question 5 of UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.