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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.

Answers (1)

In the given statement-

p: 72 is divisible by 2 & 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

-(q \wedge r) = -q V -r

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

Thus, opt A is the correct answer.

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