10th Class Mathematics Real Numbers Question Bank Assertion And Reason (MCQs) - Real Numbers

  • question_answer
    Assertion (A): The HCF of two numbers is 16 and their product is 3072. Then their \[\text{LCM}=\text{162}\].
    Reason (R): If a, b are two positive integers, then \[HCF\times LCM=a\times b.\].

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

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

    C) Assertion (A) is true but reason (R) is false

    D) Assertion (A) is false but reason (R) is true

    Correct Answer: D

    Solution :

    Sol. [d] Here, reason is true (standard result]
    Assertion is false.
    \[\frac{3072}{16}=192\ne 162\]


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