Question

Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.

Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.

Options

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

• Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

• Assertions (A) is true but reason (R) is false.

• Assertions (A) is false but reason (R) is true.

Answer 1

Assertions (A) is false but reason (R) is true.

Explanation:

Assertion: Given that, HCF = 5

LCM = 40

Product of numbers = 150

We know that,

HCF × LCM = Product of numbers

HCF × LCM = 5 × 40

= 200 is not equal to the product

So, Assertion is false

Reason: For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.

Hence, Assertion is false but reason is true.