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There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

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answer is A.

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Detailed Solution

Given that there are 500 children.
Total number of children in a school =

500

For P.T. drill,
number of rows = number of columns =

x

The number of children who will be left out =

500 - x^{2}

.
Calculating square root of 500 by division method.
Question Image

The square root of

500

gives remainder as 16 that means, the square of

22

is less than

500

16

.
To make it a perfect square =

500 - 16 = 484

.
Therefore, number of children left will be

16

.
Therefore, option (1) is correct.

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