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    Question

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

    form of (20m – 108) whereas LCM of these two numbers can be expressed in the form of (60n – 18). Find the ratio of (n × 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 – 108 = 32 => m = 7 And, 60n – 18 = 192 => n = 3.5 Required answer = n x m = 24.5

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