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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.

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प्रश्न

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.

विकल्प

  • 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
अभिकथन और तर्क
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उत्तर

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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अध्याय 20: Additional Questions - Real Numbers [पृष्ठ ९६६]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 20 Additional Questions
Real Numbers | Q 10. | पृष्ठ ९६६
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