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    What is the sub-duplicate ratio of 225 : 144?
    Question

    What is the sub-duplicate ratio of 225 : 144?

    A.

    15 : 12

    B.

    5 : 12

    C.

    12 : 5

    D.

    12 : 15

    Correct option is A

    Given:

    The ratio is 225 : 144.

    Concept Used:
    The sub-duplicate ratio of a given ratio a : b is the ratio of the square roots of a and b, i.e.,

    Sub-duplicate ratio = a:b\sqrt{a} : \sqrt{b}

    Solution:
    For the ratio 225 : 144,

    225=15,144=12\sqrt{225} = 15, \quad \sqrt{144} = 12

    Thus, the sub-duplicate ratio is:

    15 : 12

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