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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.
Solution
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.
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