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.

(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 either p 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.