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    Question

    ‘N’ is the biggest 3-digit number that leaves remainder

    1 when divided by 3, 8, and 11. Determine the smallest number that needs to be added to ‘N’ so it becomes a perfect square.
    A 48 Correct Answer Incorrect Answer
    B 38 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    ATQ,

    LCM (3, 8, 11) = 264

    264 × 3 = 792

    N = 792 + 1 = 793

    Next perfect square = 29² = 841

    Required number = 841 - 793 = 48

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