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    Question

    The HCF of two numbers is 17. If their product is 867,

    then how many such pairs exist?
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '17a' and '17b', where 'a' and 'b' are co-prime.

    ATQ; 17a X 17b = 867

    So, ab = 3

    Since, '3' is a prime number, ab = 3 X 1 or 1 X 3, Either way, only one pair exists.

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