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    Question

    'N' is the largest three-digit number which leaves 5 as

    a remainder when divided by 6, 9, and 15. What is the smallest number that needs to be added to 'N' to make it a perfect square?
    A 49 Correct Answer Incorrect Answer
    B 71 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    ATQ,

    LCM (6, 9, 15) = 90

    90 × 10 = 900

    N = 900 + 5 = 905

    Next perfect square = 31² = 961

    Required number = 961 - 905 = 56

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