The negation of the statement "72 is divisible by 2 and 3" is

Question

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 or 72 is divisible by 3 (C) 72 is not divisible by 2 and 72 is divisible by 3 (D) 72 is not divisible by 2 and 3

Tardigrade Admin · Accepted Answer

∼ (p ∧ q) = ∼ p ∨ ∼ q ∴ Negation of the given statement is, 72 is not divisible by 2 or 72 is not divisible by 3.

Q. The negation of the statement "72 is divisible by 2 and 3" is

72 is not divisible by 2 or 72 is not divisible by 3

72 is not divisible by 2 or 72 is divisible by 3

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

72 is not divisible by 2 and 3

$\sim (p \land q) =\sim p \lor \sim q$
$∴$ Negation of the given statement is, 72 is not divisible by 2 or 72 is not divisible by 3.

Q. The negation of the statement "72 is divisible by 2 and 3" is

72 is not divisible by 2 or 72 is not divisible by 3

72 is not divisible by 2 or 72 is divisible by 3

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

72 is not divisible by 2 and 3

∼(p∧q)=∼p∨∼q ∴ Negation of the given statement is, 72 is not divisible by 2 or 72 is not divisible by 3.

$\sim (p \land q) =\sim p \lor \sim q$
$∴$ Negation of the given statement is, 72 is not divisible by 2 or 72 is not divisible by 3.