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 rains and I shall go to school
• D. None of these

Answer 1

Answer: (B)

It rains and I shall not go to school

Answer 2

p : It rains, q : I shall go to school

Thus, we have $p \Rightarrow q$

Its negation is $\sim(p \Rightarrow q)$ i.e. $p\mspace{6mu} \land \sim q$

i.e. It rains and I shall not go to school.