jee-main 2012 Q74

jee-main · India · 26may Not Maths

Let $p$ and $q$ denote the following statements $p$: The sun is shining $q$: I shall play tennis in the afternoon The negation of the statement ``If the sun is shining then I shall play tennis in the afternoon'', is
(1) $q \Rightarrow \sim p$
(2) $q \wedge \sim p$
(3) $p \wedge \sim q$
(4) $\sim q \Rightarrow \sim p$

Let $p$ and $q$ denote the following statements\\
$p$: The sun is shining\\
$q$: I shall play tennis in the afternoon\\
The negation of the statement ``If the sun is shining then I shall play tennis in the afternoon'', is\\
(1) $q \Rightarrow \sim p$\\
(2) $q \wedge \sim p$\\
(3) $p \wedge \sim q$\\
(4) $\sim q \Rightarrow \sim p$

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