Question:
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 1156, find the strength of the class.
Solution:
Let the number of students be $x$.
Hence, the amount contributed by each student is Rs $x$.
Total amount contributed $=x \times x=x^{2}=1156$
$1156=2 \times 2 \times 17 \times 17$
$x=\sqrt{1156}=2 \times 17=34$
Thus, the strength of the class is 34.