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Assertion (A): For any two positive integers p and q, HCF (p, q) × LCM (p, q) = p × q Reason (R): If the HCF of two numbers is 5 and their product is 150, then their LCM is 40.

Answer :

sushmahandge

Step-by-step explanation:

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

Assertion (A) is a valid statement based on the fundamental theorem of arithmetic and the definition of the least common multiple (LCM) and highest common factor (HCF) of two numbers.

Reason (R) is incorrect. If the HCF of two numbers is 5 and their product is 150, then the two numbers could be 5 and 30. In this case, their LCM is not 40, but 30. So, the reason provided is false.

jstomar1988

A is true but R is false

Assertion (A) is a valid statement based on the fundamental theorem of arithmetic and the definition of the least common multiple (LCM) and highest common factor (HCF) of two numbers.

Reason (R) is incorrect. If the HCF of two numbers is 5 and their product is 150, then the two numbers could be 5 and 30. In this case, their LCM is not 40, but 30. So, the reason provided is false.

hope you understood it

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