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    Find the sum of digits of the greatest number of five digits which is a perfect square.
    Question

    Find the sum of digits of the greatest number of five digits which is a perfect square.

    A.

    45

    B.

    37

    C.

    39

    D.

    38

    Correct option is B

    Given:
    Number constraints: 5 digits, largest possible, perfect square.
    Formula Used:
    Long division method for square roots.
    Solution:
    The largest 5-digit number generally is 99999.
    To find the largest perfect square, we find the square root of 99999.
    99999316.22\sqrt{99999} \approx 316.22​​
    The largest integer whose square is less than or equal to 99999 is 316.
    Calculate the square of 316:
    3162=316×316=99856.316^2 = 316 × 316 = 99856.​​
    So, 99856 is the greatest 5-digit perfect square.
    Sum of the digits = 9 + 9 + 8 + 5 + 6 = 37.
    Final Answer
    So the correct answer is (b)

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