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?

• A. Equal number of boys and girls qualified
• B. Equal number of boys and girls appeared for the test
• C. The number of boys who appeared for the test is less than the number of girls who appeared
• D. The number of boys who qualified the test is less than the number of girls who qualified

Hint:

When dealing with percentages in logical reasoning problems, breaking down the total and distributing the values according to the given information helps identify the correct inference.

Answer 1

The Correct Option is D

To solve this problem, let's break down the information given:

• Boys constituted 65% of those who appeared for the test. Therefore, girls constituted the remaining 35% of the candidates who appeared.
• Girls accounted for 60% of the qualified candidates.

This problem requires us to infer from the given data which scenario is correct based on the information provided.

1. Total percentage of candidates who appeared: 100%.
2. Percentage of boys who appeared: 65%.
3. Percentage of girls who appeared: 35%. 
4. Percentage of qualified candidates who are girls: 60%.

Now, let's evaluate the options:

• Equal number of boys and girls qualified:
  • This option cannot be true because the passage states that girls account for 60% of the qualified candidates, which is greater than half, meaning more girls than boys qualified. Hence, this option is incorrect.
• Equal number of boys and girls appeared for the test:
  • Since 65% of the candidates are boys and 35% are girls, this is false. More boys appeared for the test. This option is incorrect.
• The number of boys who appeared for the test is less than the number of girls who appeared:
  • This option is incorrect because 65% of the candidates are boys, meaning more boys appeared than girls.
• The number of boys who qualified the test is less than the number of girls who qualified:
  • Given that 60% of the qualified candidates are girls, more girls qualified than boys. This option is correct.

Hence, the correct answer is that the number of boys who qualified the test is less than the number of girls who qualified.