CAT 2019 Question Paper | CAT Verbal Ability Slot 1
Question :

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

Started 3 months ago by Shashank in

Answer : 20

Explanatory Answer

Given that there are 60 % girls and 40 % boys

 

It is also given that there are 30 more girls than boys.

 

So, (60 % - 40 %) of total class strength = 30 students

 

=> 20 % of total class strength = 30 students

 

=> Total class strength = 30 x 5 = 150 students

 

It is also given that 68% of students pass the the examination, which includes 30 boys

 

So, Number of students passed = 68% of Total students

 

=> Number of students passed = x 150 = 102 students

 

=> Since the number of boys passed is 30,

 

=> Number of girls passed = 102 - 30 = 72

 

Total number of girls = x 150 = 90

 

Total number of girls = Girls who passed + Girls who did not pass

 

Girls who did not pass = 90 - 72 = 18

 

Percentage of girls who did not pass = 18/90 x 100 = 20 %

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