GATE | GATE CS 2021 | Set 1 | Question 1

The ratio of boys to girls in a class is 7 to 3.

Among the options below, an acceptable value for the total number of students in the class is:
(A) 21
(B) 37
(C) 50
(D) 73


Answer: (C)

Explanation: Given,
Ratio of boys to girls = 7 : 3

So, ratio of boys in the class = 7 / 10 = should be integer
And, ratio of girls in the class = 3 / 10 = should be integer

Hence, from given option, only 50 satisfies = 35 : 15 = 7 : 3

Alternative Method :
Sum = 3+7 = 10k
So, total number of students should be multiple of 10.

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