In a class of 40 students, $\frac{1}{5}$ of the total number of students like to study english, $\frac{2}{5}$ of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?

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Solution

The correct option is B
Class strength = 40
No. of students like to study English = 40 $\times$ $(\frac{1}{5})$ = 8
No. of students like to study mathematics = 40 $\times$ $(\frac{2}{5})$ = 16
Remaining students = 40 – (8 + 16)
= 16
So, fractions of the total number of students like to study science = $\frac{16}{40} = \frac{2}{5}$

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In a class of 40 students, 15 of the total number of students like to study english, 25 of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?

The correct option is B Class strength = 40 No. of students like to study English = 40 × (15) = 8 No. of students like to study mathematics = 40 × (25) = 16 Remaining students = 40 – (8 + 16) = 16 So, fractions of the total number of students like to study science = 1640=25

In a class of 40 students, $\frac{1}{5}$ of the total number of students like to study english, $\frac{2}{5}$ of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?