Question

A teacher wants to arrange 2800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.

• A. 56
• B. 52
• C. 54
• D. 58

Answer 1

The correct option is B

52

Number of students who participated in the arrangement = 2800 - 96 = 2704
Prime factorize 2704 we get

$2704=13\times 13\times 2\times 2\times 2\times 2$

$\sqrt{2704}=13\times 2\times 2=52$

Hence, the required number of rows = 52