In a class of 60 students, where the girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is

examrobotsa's picture
Q: 21 (CAPF/2008)
In a class of 60 students, where the girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is—

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,14,11,2,5,14,4

keywords: 

{'students': [0, 1, 1, 1], 'rank': [1, 0, 3, 10], 'kamal': [0, 1, 1, 0], 'boys': [0, 1, 5, 11], 'girls': [0, 2, 3, 10], 'number': [0, 0, 0, 2], 'class': [4, 1, 4, 15], 'top': [0, 0, 3, 4]}

In this question, we are given a class with 60 students. We are also given that the number of girls is twice that of boys. Let`s first calculate the number of girls and boys in this class.

Let`s assume the number of boys is x. So, the number of girls will be 2x (twice that of boys).

Total students in the class = number of boys + number of girls

60 = x + 2x

60 = 3x

x = 20

So, there are 20 boys and 40 girls in the class.

Next, we are told that Kamal ranks seventeenth from the top and there are 9 girls ahead of him. This means that there are 16 students ahead of Kamal, including those 9 girls.

Now, let`s find the number of boys after Kamal. Total students after Kamal = Total students in the class - Kamal`s rank

Total students after Kamal = 60 - 17 = 43

Since there are 9 girls ahead of Kamal, the remaining students after Kamal are boys.

Number of boys after Kamal = Total students after Kamal - Number of girls ahead of Kamal

Number of boys after Kamal =