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

Answer

N/a

Explanation

(i) p: 125 is divisible by 5 and 7
Let q: 125 is divisible by 5.
r: 125 is divisible by 7.
q is ture, r is false.
`rarr q ^^ r` is false.
[Since , `p^^q` has the truth value F (flase) whenever either q or p or both have the truth value F.]
Hence, p is not valid.
(ii) 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 flase.
`rArr Pvvr ` is true.
[Since `pvvq` has the truth value T (ture ) wherever either p or q ot both have the truth value T]
Hence, q is valid