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    Question

    If two numbers are in the ratio 2:3, what is the ratio

    of their HCF to their LCM?
    A 2:3 Correct Answer Incorrect Answer
    B 1:4 Correct Answer Incorrect Answer
    C 1:5 Correct Answer Incorrect Answer
    D 1:6 Correct Answer Incorrect Answer

    Solution

    Let the H.C.F of two numbers be H.
    Then the two numbers will be 2H and 3H respectively.
    Now we know that product of two numbers is equal to the product of their HCF and LCM
    Let the L.C.M of two numbers be L.
    Hence, 2H X 3H = H X L
    => L = 6H
    => H:L = 1:6

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