1.

Check validity of the following statements.(i) p: 125 is divisible by 5 and 7.(ii) q: 131 is a multiple of 3 or 11.

Answer»

(i) We have,P : 125 is divisible by 5 and 7.

Let q: 125 is divisible by 5.

r: 125 is divisible by 7. q is true, r is false.

=> q ⋀ r is false.

[since, p ⋀ q has the truth value F (false) whenever eitherp or q or both have the truth value F]

Hence, p is not valid.

(ii) We have, p: 131 is a multiple of 3 or 11.

Let q: 131 is multiple of 3.

r: 131 is a multiple of 11.

p is true, r is false.

=> p v r is true.

[since, p v q has the truth value T (true) whenever either p or q or both have the truth value T]

Hence, q is valid.



Discussion

No Comment Found

Related InterviewSolutions