UPSC Prelims 2016·CSAT·Quantitative Aptitude·Arithmetic

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?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A6
  2. B12Correct
  3. C18
  4. D21

Explanation

To find the number of girls, we follow these steps:

  1. 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.

  2. 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.

  3. 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.

Quantitative Aptitude: In a class, there are 18 very tall boys. If these constitute three-fourths of the boys and the total number of boys is t

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