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Negation of the conditional ''If it rain...

Negation of the conditional ''If it rains, I shall go to school'' is

A

It rains and I shall go to school

B

It rains and I shall not go to school

C

It does not rains and I shall go to school

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B

Let `p:` It rains, `q:I` shall go to scholl
Thus, we have `p rarrq`
Its negation is `~(prarrq)" ie, "p^^~q`
ie, It rains and I shall not go to school.
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