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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 ranis and I shall go to school

D

None of the above

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The correct Answer is:
B

Let P : It rains, q: I shall go to school
Thus, we have `p rArr q`
Its negation is `~(p rArr q)` is `pvv~q`
ie, it rains and I shall not go to school.
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