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    Question

    HCF of two numbers 60 and 100 can be expressed in the

    form of (25m – 80) whereas LCM of these two numbers can be expressed in the form of (40n – 20). Find the ratio of (n × m).
    A 32 Correct Answer Incorrect Answer
    B 63 Correct Answer Incorrect Answer
    C 56 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer
    E 72 Correct Answer Incorrect Answer

    Solution

    HCF of 60 and 100 = 20 LCM of 60 and 100 = 300 According to the question, => 25m – 80 = 20 => m = 4 And, 40n – 20 = 300 => n = 8 Required answer = n x m = 32

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