Check the validity of the following statement.

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

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