UGC NET Questions (Paper – 1)

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Q: Which of the following statements about necessary and sufficient conditions are correct?

(A) If property P is sufficient for property Q, then whenever P holds, Q must also hold;
(B) If property P is necessary for property Q, then Q cannot hold without P;
(C) A condition can be both necessary and sufficient for another condition;
(D) If p is a sufficient condition for q, then q is always a sufficient condition for p;
(E) In everyday reasoning, necessary and sufficient conditions are sometimes confused with one another;
Choose the correct answer from the options given below:

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