In a class, there are 18 very tall boys. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
- A6
- B12Correct
- C18
- D21
Explanation
To find the number of girls, we follow these steps:
-
Find the total number of boys: We are told that 18 boys represent three-fourths (3/4) of the total boys. If 3/4 of boys = 18, then 1/4 of boys = 6. Therefore, the total number of boys = 6 multiplied by 4 = 24.
-
Find the total number of students: The total number of boys (24) is two-thirds (2/3) of the total students. If 2/3 of students = 24, then 1/3 of students = 12. Therefore, the total number of students = 12 multiplied by 3 = 36.
-
Find the number of girls: Number of girls = Total students minus Total boys. Number of girls = 36 minus 24 = 12.
The correct answer is B.

Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 2016CSATQuantitative Aptitude
A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of…
- Prelims 2016CSATQuantitative Aptitude
30g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar Was mixed in 280 ml of water in vessel B and 20 g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is
- Prelims 2016CSATQuantitative Aptitude
In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of Rs. 2 by one student only, the total collection is R…
- Prelims 2016CSATQuantitative Aptitude
Anita's mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry p…
- Prelims 2016CSATQuantitative Aptitude
The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male and female employees was Rs. 5200 and Rs. 4200 respectively. Then the percentage…
- Prelims 2016CSATQuantitative Aptitude
Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X ?