Square & Cube Numbers

Examples

• Square number : 0,1,4,9...
• Cube number : 0,1,8,27...

Problem type 1

The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 2500, find total number of student in that class.

Let the number of students in the class be "n".
Therefore, contribution by each student is Rs $n \times n = n^2$.

According to question, $n^2$ = 2500

$\implies n^2$ = 2500

$\implies n = \sqrt{2500}$

$\implies n = \sqrt{50 \times 50}$

$\implies n$ = 50.