Question:
Check the validity of the following statement.
(i) p: 125 is divisible by 5 and 7.
(ii) q: 131 is a multiple of 3 or 11.
Solution:
(i) p: 125 is divisible by 5 and 7.
p: 125 is divisible by 5 and 7
Let, q: 125 is divisible by 5.
r: 125 is divisible 7.
Here, q is true and r is false.
Therefore, q ᴧ r is False
Hence, p is not valid.
(ii) q: 131 is a multiple of 3 or 11.
Given q : 131 is a multiple of 3 or 11
Let, P: 131 is a multiple of 3.
Q: 131 is a multiple of 11.
Here, P is false and Q is False
Therefore, P ⋁ Q is False
Hence, q is not valid