Mathematical Logic And Boolean Algebra Question 56

Question: Negation of the conditional: ‘If it rains, I shall go to school’? is

Options:

A) It rains and I shall go to school

B) It runs and I shall not go to school

C) It does not rains and I shall go to school

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] p: it rains, q: I shall to school Thus, we have $ p\Rightarrow q $ Its negation is $ \tilde{\ }(p\Rightarrow q)i.ep\wedge \tilde{\ }q $ i.e., it is rains and I shall not go to school.