CAT 2019 Shift 1 Paper

Question : 82 of 100

Marks: +1, -0

In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is

Your Answer:

Validate

Solution:

Let number of girls and boys be

3 {x}

and

2 {x}

respectively.
Given,

3 x-2 x=30

x=30 .

So the number of students

=3 x+2 x=5 x=150

.
Also, number of girls

(3 x)

and boys

(2 x)=90

and 60 respectively.
Number of students pass the exam

=68 \%

150=102 .

Number of girls pass the exam

=102-30=72

.
Therefore, number of girls who fail in the exam

=90-72=18

Hence, percentage of girls fail the exam

=\;{18}/{90} × 100=20 \%

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