Let P: If Sahil 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.Sahil bowled and Saurabh hits a centuryb.Sahil bowled and Saurabh got outc.Raju did not bowledd.Raju bowled and Sahil got out on first bal
Question
Let P: If Sahil 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.Sahil bowled and Saurabh hits a centuryb.Sahil bowled and Saurabh got outc.Raju did not bowledd.Raju bowled and Sahil got out on first bal
Solution
The given statements are:
P: If Sahil bowls, Saurabh hits a century. Q: If Raju bowls, Sahil gets out on first ball.
We are told that P is true and Q is false.
Let's analyze each option:
a. Sahil bowled and Saurabh hits a century - This statement can be true because it aligns with the truth of statement P.
b. Sahil bowled and Saurabh got out - This statement cannot be true because it contradicts statement P which says that if Sahil bowls, Saurabh hits a century.
c. Raju did not bowl - This statement can be true because statement Q is false. If Raju did not bowl, then it's possible that Sahil did not get out on the first ball, which aligns with the falsity of statement Q.
d. Raju bowled and Sahil got out on first ball - This statement cannot be true because it contradicts the falsity of statement Q. If Q is false, then Sahil cannot get out on the first ball if Raju bowls.
So, the statements that can be true are a. Sahil bowled and Saurabh hits a century and c. Raju did not bowl.
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