Question

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 is equal to number of columns .How many children would be left out in this arrangement?

Answer 1

As the children has to stand in such a way that the number of rows and number of columns are same. So the number of children should be a perfect square.

We have two perfect square number nearest to $500$ are $484=(22{)}^2$ and $529=(23{)}^2$..

In the problem we have to left out children such that the number of rows and number of columns remains same.

So number of children to be left out $=500-484=16$.