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    Question

    HCF of two numbers 64 and 96 can be expressed in the

    form of (20m тАУ 108) whereas LCM of these two numbers can be expressed in the form of (60n тАУ 18). Find the ratio of (n ├Ч m).
    A 36 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 63 Correct Answer Incorrect Answer
    D 24.5 Correct Answer Incorrect Answer

    Solution

    HCF of 64 and 96 = 32 LCM of 64 and 96 = 192 According to the question, => 20m тАУ 108 = 32 => m = 7 And, 60n тАУ 18 = 192 => n = 3.5 Required answer = n x m = 24.5

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