GATE CS 2022 Q7 — General Aptitude

Let $T$ be the total number of candidates who appeared for the test, and $Q$ be the total number of candidates who qualified ($Q > 0$).

Based on the information provided in the passage:

• Boys appeared = $65\%$ of $T = 0.65T$
• Girls appeared = $(100 - 65)\% = 35\%$ of $T = 0.35T$

• Girls qualified = $60\%$ of $Q = 0.60Q$
• Boys qualified = $(100 - 60)\% = 40\%$ of $Q = 0.40Q$

Now, let us evaluate the given options:

• A. Equal number of boys and girls qualified: Incorrect, because the number of boys qualified ($0.40Q$) is not equal to the number of girls qualified ($0.60Q$).
• B. Equal number of boys and girls appeared for the test: Incorrect, because the number of boys appeared ($0.65T$) is not equal to the number of girls appeared ($0.35T$).
• C. The number of boys who appeared for the test is less than the number of girls who appeared: Incorrect, because $0.65T > 0.35T$.
• D. The number of boys who qualified the test is less than the number of girls who qualified: Correct, because $0.40Q < 0.60Q$.