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Official PYQ · 2021

GATE CS 2021 Set 1 Q1 — General Aptitude

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​​​​​​The ratio of boys to girls in a class is 77 to 33.

Among the options below, an acceptable value for the total number of students in the class is:

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Answer: C

Let the number of boys and girls in the class be 7x7x and 3x3x respectively, where xx is a positive integer.

The total number of students in the class is:

Total Students=7x+3x=10x\text{Total Students} = 7x + 3x = 10x

Since the number of students must be a positive integer, xx must be an integer. This implies that the total number of students must be a multiple of 1010.

Among the given options, only 50 (Option C) is a multiple of 1010 (where x=5x = 5).

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