Question

The students of class VII of a school denoted $Rs.2401$ in all, for Prime Minister's National Relief Fund. Each student denoted as many rupees as the number of students in the class. Find the number of students in the class.

• A. $47$
• B. $51$
• C. $49$
• D. $53$

Answer 1

Answer: (C)

$49$

Let $x$ be the number of students in the class.
Therefore, total money denoted by students
$=Rs.(x\times x)=Rs.x^2$. But it is given as $Rs.2401$.
$\therefore x^2=2401$
$\Rightarrow x=\sqrt{2401}$
$\underset{–}{7\mid 2401}\underset{–}{7\mid 343}\underset{–}{7\mid 49}\underset{–}{7\mid 7}\mid 1$
$=\sqrt{\underset{–}{7\times 7}\times \underset{–}{7\times 7}}$
$=7\times 7=49$.