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



Answer -

Let the number of children in a row be x. And also that of in a column be x.
Total number of students = x × x = x2
x2 = 500 ⇒ x = √500
 
Here the remainder is 16
New Number 500 – 16 = 484
and, √484 = 22
Thus, 16 students will be left out in this arrangement.

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