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GATE CSE 2021 Set 1 Q1: Possible class size for a 7 : 3 boys-to-girls ratio

Question

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:

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: C (official GATE 2021 final answer key)

Concept used: With a ratio 7:37 : 3 the class has 7k7k boys and 3k3k girls, so the total is a multiple of 10.

First step: Check which option is divisible by 7+3=107 + 3 = 10.

Full step-by-step solution

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Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key