(B) Let $p$ be the statement: "It rains".Let $q$ be the statement: "$I$ shall go to school".The given conditional statement is $p \Rightarrow q$.The n

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It rains and $I$ shall not go to school

(B) Let $p$ be the statement: "It rains".Let $q$ be the statement: "$I$ shall go to school".The given conditional statement is $p \Rightarrow q$.The negation of a conditional statement $p \Rightarrow q$ is given by $\sim(p \Rightarrow q) \equiv p \wedge \sim q$.Here,$p \wedge \sim q$ translates to: "It rains and $I$ shall not go to school".Therefore,the correct option is $B$.

Class 11 Mathematics Mathematical Reasoning Mathematical logic

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The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

MHT CET 2008 All MHT CET

A
It rains and $I$ shall go to school
B
It rains and $I$ shall not go to school
C
It does not rain and $I$ shall go to school
D
None of the above

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MediumJEE MAIN 2022

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The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

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