Let P: IfSahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball.Now if P is true and Q is false then which of the following can be true?(a) Raju bowled and Sahil got out on first ball(b) Raju did not bowled(c) Sahil bowled and Saurabh hits a century(d) Sahil bowled and Saurabh got outThe question was posed to me during a job interview.I'd like to ask this question from Logics in section The Foundation: Logics and Proofs of Discrete Mathematics

Let P: IfSahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil

1.	Let P: IfSahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball.Now if P is true and Q is false then which of the following can be true?(a) Raju bowled and Sahil got out on first ball(b) Raju did not bowled(c) Sahil bowled and Saurabh hits a century(d) Sahil bowled and Saurabh got outThe question was posed to me during a job interview.I'd like to ask this question from Logics in section The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The correct option is (c) Sahil bowled and Saurabh HITS a century To explain I WOULD say: EITHER hypothesis should be false or both (hypothesis and conclusion) should be true.

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