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GATE CSE 2022 Q7: Inference from shares of boys and girls who appeared and qualified

Question

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

Try it: multiple choice: exactly one correct option

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Wrong answer costs 2/3 mark in GATE.
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Answer: D (official GATE 2022 final answer key)

Concept used: Read the percentages carefully: the 60% refers to the qualified candidates, not those who appeared.

First step: If girls are 60% of the qualified candidates, boys are the other 40% of them.

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Source: official GATE 2022 CS question paper and final answer key, organised by IIT Kharagpur. Question paper · Answer key