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    Question

    The HCF and LCM of the two numbers are 225 and 360

    respectively. When the first number is divided by 3, the quotient is 20. The other number is.
    A 1125 Correct Answer Incorrect Answer
    B 1350 Correct Answer Incorrect Answer
    C 1425 Correct Answer Incorrect Answer
    D 950 Correct Answer Incorrect Answer

    Solution

    Given that the HCF and LCM of two numbers are 225 and 360 respectively. When the first number is divided by 3, the quotient is 20. Using remainder theorem ⇒ First number = (20)(3) + r, since r = 0. So, the first number is 60. Now we know that the Product of two numbers = LCM × HCF Hence other numbers = (225×360)/60 =225×6=1350

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