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3 votes

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?

- Equal number of boys and girls qualified
- Equal number of boys and girls appeared for the test
- The number of boys who appeared for the test is less than the number of girls who appeared
- The number of boys who qualified the test is less than the number of girls who qualified

5 votes

Lets assume ,

Total number of student is 100.

now ,

Boy’s constitued of 65% of appeared students.

so total number of boys who appeared = 65.

total number of girls who appeared=35

Now, Girls accounted for 60% qualified student.

So, no of girls who qualified=35*0.6=21

so no of boys qualified = (total no of qualified student – total no of girls qualified) =(35-21)=14

So, correct answer is D.

Total number of student is 100.

now ,

Boy’s constitued of 65% of appeared students.

so total number of boys who appeared = 65.

total number of girls who appeared=35

Now, Girls accounted for 60% qualified student.

So, no of girls who qualified=35*0.6=21

so no of boys qualified = (total no of qualified student – total no of girls qualified) =(35-21)=14

So, correct answer is D.

2 votes

**Option A, **FALSE because the qualification ratio is 40:60.

**OPTION B, **FALSE because the appearance ratio is 65:35.

**OPTION C**, FALSE because clearly more boys than girls appeared in the test.

**OPTION D, **TRUE because qualification percentage is independent of appearance percentage and clearly more girls qualified (60%).