A general wishing to draw up his 16160 soldiers in the

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A general wishing to draw up his 16160 soldiers in the form as a solid square, found that he had 31 soldiers left over. Find the number of soldiers in the front. ?

1. 126
2. 125
3. 128
4. 127

Correct Option: D

Let the total number of soliders in front be x. Then, total number of soliders in form of solid square = x²
According to the question, x² + 31 = 16160
⇒ x² = 16129 ⇒ x = √16129
∴ x = 127