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Question
Assertion (A): The HCF of two numbers is 25 and their LCM is 60.
Reason (R): The HCF of two given numbers always divides their LCM exactly.
Options
Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
Assertion (A) is true and Reason (R) is false.
Assertion (A) is false and Reason (R) is true.
MCQ
Assertion and Reasoning
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Solution
Assertion (A) is false and Reason (R) is true.
Explanation:
Step 1 – Assertion: A is false. The HCF must divide the LCM exactly, but 25 does not divide 60 exactly; therefore, these cannot be the HCF and LCM of two numbers.
Step 2 – Reason: R is true. The HCF of two given numbers always divides their LCM exactly.
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