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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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