The negation of the statement ''72 is divisble by 2 and 3'' is

Options

A. 72 is not divisible by 2 and 72 is not divisible by 3.
B. 72 is not divisible by 2 or 72 is not divisible by 3
C. 72 is not divisible by 2 and 72 is divisible by 3.
D. 72 is not divisible by 2 and 72 is divisible

Answer

B

Explanation

Let p: 72 is divisible by 2 and 3 .
Let q: 72 is divisible by 2.
r: 72 is divisible by 3.
~q: 72 is divisble by 2.
~r : 72 is not divisible by 3.
`(q^^ r) : ~ q v ~r`
`rArr " " 72 is not divisible by 2 or 72 is not divisible by 3.