Question

“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 chess

I 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 1

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.”