jee-main 2022 Q66

jee-main · India · session1_28jun_shift1 Not Maths

Let $p, q, r$ be three logical statements. Consider the compound statements $S_1 : ((\sim p) \vee q) \vee ((\sim p) \vee r)$ and $S_2 : p \rightarrow (q \vee r)$ Then, which of the following is NOT true?
(1) If $S_2$ is True, then $S_1$ is True
(2) If $S_2$ is False, then $S_1$ is False
(3) If $S_2$ is False, then $S_1$ is True
(4) If $S_1$ is False, then $S_2$ is False

Let $p, q, r$ be three logical statements. Consider the compound statements $S_1 : ((\sim p) \vee q) \vee ((\sim p) \vee r)$ and $S_2 : p \rightarrow (q \vee r)$\\
Then, which of the following is NOT true?\\
(1) If $S_2$ is True, then $S_1$ is True\\
(2) If $S_2$ is False, then $S_1$ is False\\
(3) If $S_2$ is False, then $S_1$ is True\\
(4) If $S_1$ is False, then $S_2$ is False

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