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    Question

    The HCF and LCM of the two numbers are 225 and 306

    respectively. When the first number is divided by 3, the quotient is 15. The other number is.
    A 1225 Correct Answer Incorrect Answer
    B 1525 Correct Answer Incorrect Answer
    C 1530 Correct Answer Incorrect Answer
    D 918 Correct Answer Incorrect Answer

    Solution

    Given that the HCF and LCM of two numbers are 225 and 306 respectively. When the first number is divided by 3, the quotient is 15 Using remainder theorem ⇒ First number = (15)(3) + r, since r = 0. So, the first number is 45. Now we know that the Product of two numbers = LCM × HCF Hence other numbers = (225×306)/45 =306×5=1530

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