# 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

**Solution:**

Number of children in a school = 500

Given that, for a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns.

Thus, we will find the square root of 500

The square root of 500 can be calculated using long division method.

The remainder is 16. It shows that

(22)^{2 }< 500.

Therefore, a perfect square can be obtained by subtracting 16 from the given number. Therefore, the required perfect square is

= 500 - 16

= 484

Thus, 484 students can be perfectly arranged and the number of children left out in PT drill arrangement will be 16.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 6

**Video Solution:**

## 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

NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.4 Question 9

**Summary:**

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. 16 children will be left out in this arrangement.

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