Statement A (Assertion) : 11 4 3 2+4 is a composite number. State… - Vidyadip

MCQ

Statement A (Assertion) : $11 \times 4 \times 3 \times 2+4$ is a composite number.
Statement R (Reason) : Every composite number can be expressed as product of primes.

✓
Both assertion (A) and reason ( $R$ ) are true and reason $(R)$ is the correct explanation of assertion (A).
B
Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is not the correct explanation of assertion (A).
C
Assertion (A) is true but reason ( $R$ ) is false.
D
Assertion (A) is false but reason $(R)$ is true.

✓

Answer

Correct option: A.

Both assertion (A) and reason ( $R$ ) are true and reason $(R)$ is the correct explanation of assertion (A).

(a): We have, $11 \times 4 \times 3 \times 2+4$
$=(11 \times 3 \times 2+1) 4=67 \times 4=67 \times 2^2$
The given number can be expressed as product of primes. So, it is a composite number.
$\therefore \quad$ Assertion and Reason both are true and Reason is the correct explanation of Assertion.

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