Question

Assertion: For any two positive integers a and b. HCF (a, b) x LCM (a, b) = axb Reason: The HCF of two numbers is 8 and their product is 280. Then their LCM is40. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanationof assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correctexplanation of assertion (A). (C) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.

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Answer 1

There is an identity which holds for all integers:

LCM(a,b)×HCF(a,b)=ab

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