The students of a class arranged a picnic.

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.

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