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“Parul is out for a trip or it is not snowing” and “It is snowing or Raju is playing chess” imply that __________(a) Parul is out for trip(b) Raju is playing chess(c) Parul is out for a trip and Raju is playing chess(d) Parul is out for a trip or Raju is playing chessI have been asked this question in semester exam.The above asked question is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

Answer»

Correct CHOICE is (d) Parul is out for a trip or Raju is playing chess

For EXPLANATION I WOULD say: LET P be “It is snowing,” q be “Parul is out for a trip,” and r the proposition “Raju is playing chess.” The hypotheses as ¬p ∨ q and p ∨ r, respectively. Using resolution, the proposition q ∨ r is, “Parul is out for a trip or Raju is playing chess.”



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