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

Answer 1

Compute the Arrangement of the student:

Given: Number of children =500

To find Minimum number of children which would leave out to make the number of rows= number of columns.

Step 1 : Assign the variable to the statement of the problem

Let the number of rows and columns be $\mathrm{x}$.

Total number of plants $={\mathrm{x}}^2$

Step 2 of 3: Applying the condition in the question

According to the question

$x^2=500$

$\mathrm{x}=\surd 500$

Step 3 of 3: Determine the Square root using long division

Find the square root of 500 using long division

We got the remainder as$16.$

So the new number is $=500–16=484$

Thus, Students will be left out of$16$ this arrangement.