Question

Assertion (A): For any two prime numbers p and q, their HCF is 1 and LCM is p + q.

Reason (R): For any two natural numbers, HCF × LCM = product of numbers.

पर्याय

• Both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A). 

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is false, but Reason (R) is true.

Explanation:

For any two prime numbers p and q, their HCF is 1, but their LCM is p × q, not p + q.

Therefore, Assertion (A) is false.

For any two natural numbers, HCF × LCM = Product of the two numbers.

Hence, Reason (R) is true.