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    Question

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

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

    Solution

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

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