Question

The students of class VIII of a school donated Rs 2401 to Prime Minister's National Relief Fund. Each student donated as many rupees as the number of students in the class, then number of students in the class is
Select one:
a. 119
b. 25
c. 81
d. 49

Answer 1

ANSWER :

c)49

EXPLANATION:

First do prime factorisation for Rs 2401

√ 7×7×7×7 = 7×7

= 49

Answer 2

$\rule{400}4$

☆ ANSWER:-

▪︎ Given:-

• Total rupees donated = Rs 2401.

• Each student donated as much rupees as the number of students in the class.

▪︎ To Find:-

• Total number of students in class.

$\rule{400}2$

▪︎ Now lets understand the question,

• Here it is given that each student had donated as much rupees as the number of student in the class.

• So let us take an example, suppose in the class there are total 10 students. So each student would donate Rs 10. Therefore the total amount donated will be 10×10 = 10².

• So we can conclude that,

=》 Total number of students = Number of amount donated by each.

▪︎ Similarly,

• Let the total students in class be x so each student will donnate Rs x.

• Also total amount donated = 2401.

$\rule{400}2$

▪︎ Thus, From Question we get,

$\tt \mapsto \: x \times x = 2401 \\ \\ \tt\mapsto \: {x}^{2} = 2401 \\ \\ \tt\mapsto \: x = \sqrt{2401} \\ \\ \tt\large\red{\fbox{\mapsto \: x = 49}}$

$\rule{400}2$

${\small{\green{\boxed{\therefore{Total\:Number\:Of\:Students=49.}}}}}$

$\small{\mathcal{\blue{\underline{\underline{\pink{So\:Final\:Answer\:Is\:Option\:d.}}}}}}$

$\rule{400}4$

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$\rule{400}4$