1)

In class X of a school there are three sections namely A, B and C. The ratio of students in section A and B is 3 : 5 and that in section B and C is 4 : 7. If the total number of students in the class is 134, then the number of students in section A is


A) 24

B) 36

C) 48

D) 30

E) 35

Answer:

Option A

Explanation:

$A:B=3:5$, $B:C=4:7$

$A:B:C$ $=3\times 4:5\times 4:5\times 7$ $=12:20:35$

Sum of ratios $=12+20+35$ $=67$

$A=12$

$\therefore$ Number of students in section $A=\frac{12}{67}\times 134$ $=24$