Question

there are 800 children in a school for a PT drill they have to stand in a square formation such that the numbers of rows is equal to the number of column find the greatest number of children and to complete the column

Answer 1

Answer:

Total no of children =800

Greatest no of children to complete the formation =800- √800remainder

=800-16

=784

Answer 2

Concept

A perfect square is a positive integer that is obtained by multiplying an integer by itself. Simply put, we can say that perfect squares are numbers that are themselves the product of whole numbers. In general, we can express a perfect square as x2, where x is an integer and the value of x2 is a perfect square.

Given

It is given that there are 800 children in a school for a PT drill they have to stand in a square formation such that the numbers of rows is equal to the number of column

Find

We need to find the greatest number of children to complete the column

Solution

Number of children in the school = 800

Since for P.T. the drill must stand so that the number of rows is equal to the number of columns.

So we find the square root of 800

There are 800 children in the school. For P.T. the drill must stand so that the number of rows is equal to the number of columns.

(28)^2 = 784 < 800.

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

= 800 - 16

= 784

Hence, 784 students can be perfectly arranged and the number of children left out of the PT exercise arrangement will be 16.

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