Q.7  The students of Class VIII of a school donated Rs.2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Answers (1)

Let the number of students in a class be x.

According to question,

Number of student = money donated by each of the students

So total money donated = x ^{2}

or                      x ^{2} = 2401

Prime factorization of       2401 = 7\times7\times7\times7 = (7\times7)^{2} = 49^{2} = x^2

So the number of students in the class = 49.

 

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