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# 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,

~(qᴧr)=~q V ~r

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

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