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    Question

    The HCF of two numbers is 48, and their LCM is 1440. If

    one of the numbers is 576, find the other number.
    A 190 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 336 Correct Answer Incorrect Answer
    D 384 Correct Answer Incorrect Answer
    E 432 Correct Answer Incorrect Answer

    Solution

    We know that the relationship between the LCM, HCF, and the two numbers is: LCM × HCF = Product of the two numbers. Let the second number be x. Therefore, 1440 × 48 = 576 × x. 69120 = 576 × x. x = 69120 ÷ 576 = 120. Thus, the other number is 120. Correct option: b

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