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    Question

    The LCM of two numbers is 720 while their HCF is 12. If

    one of the numbers is 120, then the other number is:
    A 72 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer

    Solution

    Given:
    - LCM of two numbers = 720
    - HCF of two numbers = 12
    - One number = 120
    Since,
    HCF of two numbers × LCM of two numbers = First number × Second number
    Second number = (12 × 720) / 120 = 8640 / 120 = 72
    So, the other number is 72.

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