Question

The negation of the proposition “If 2 is prime, then 3 is odd” is

(A) If 2 is not prime, then 3 is not odd. 

(B) 2 is prime and 3 is not odd. 

(C) 2 is not prime and 3 is odd. 

(D) If 2 is not prime then 3 is odd.

Answer 1

Correct option: (B) 2 is prime and 3 is not odd.

Let p : 2 is prime, q : 3 is odd

∴ Symbolic form p → q

∴ ~(p → q) ≡ p ∧ ~q

i.e., 2 is prime and 3 is not odd.