Q. 235.0( 1 Vote )

The negation of the statement

“72 is divisible by 2 and 3” is
A. 72 is not divisible by 2 or 72 is not divisible by 3.

B. 72 is not divisible by 2 and 72 is not divisible by 3.

C. 72 is divisible by 2 and 72 is not divisible by 3.

D. 72 is not divisible by 2 and 72 is divisible by 3.

Answer :

If the statement is p then its negation is ~p, it means if p is true then ~p is false and vice versa.

p: 72 is divisible by 2 and 3


q: 72 is divisible by 2


~q: 72 is not divisible by 2


r: 72 is divisible by 3


~r: 72 is not divisible by 3


Now,


~(qr)=~q V ~r


Hence, 72 is not divisible by 2 or 72 is not divisible by 3.

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