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    Question

    HCF of two numbers 70 and 84 can be expressed in the

    form of (20m – 126) whereas LCM of these two numbers can be expressed in the form of (50n – 30). 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
    E 27 Correct Answer Incorrect Answer

    Solution

    HCF of 70 and 84 = 14 LCM of 70 and 84 = 420 According to the question, => 20m – 126 = 14 => m = 7 And, 50n – 30 = 420 => n = 9 Required answer = n x m = 63

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