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    Question

    A number ‘N’ is the greatest 3-digit number which

    gives a remainder of 2 when divided by 7, 10, and 12. Find the minimum number to be added to it 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 58 Correct Answer Incorrect Answer

    Solution

    ATQ,

    LCM (7, 10, 12) = 420

    420 × 2 = 840 (largest 3-digit multiple)

    N = 840 + 2 = 842

    Next perfect square = 30² = 900

    Required number = 900 - 842 = 58

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