Question

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 rain and I shall go to school
• D. None of the above

Answer 1

The correct option is B

It rains and I shall not go to school

Explanation for the correct option:

Finding the negation of the conditional:

Let us consider

p: It rains

q: I shall go to school

Then $\mathrm{p}\to \mathrm{q}$,

The negation is $~(\mathrm{p}\to \mathrm{q})=\mathrm{p}\wedge ~\mathrm{q}$

Which can be written , It rains and I shall not go to school.

Therefore, the correct answer is option (B).