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In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top? If there are 9 girls ahead of Kamal, how many boys are after him in rank?
  • a)
    3
  • b)
    7
  • c)
    12
  • d)
    23
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a class of 60, where girls are twice that of boys, Kamal ranked sev...
Given:
- Total number of students in the class = 60
- Number of girls = twice the number of boys
- Kamal is ranked seventeenth from the top
- There are 9 girls ahead of Kamal in rank

Let's solve this step by step:

1. Determine the number of girls and boys in the class:
Let the number of boys be x.
Therefore, the number of girls will be 2x (twice the number of boys).

The total number of students in the class is given as 60:
x + 2x = 60
3x = 60
x = 60/3
x = 20

So, there are 20 boys and 2x = 2*20 = 40 girls in the class.

2. Determine Kamal's position from the bottom:
Since Kamal is ranked seventeenth from the top, we can determine his position from the bottom using the formula:
Position from the bottom = Total number of students - Kamal's position from the top + 1

Position from the bottom = 60 - 17 + 1
Position from the bottom = 44

3. Determine the number of boys after Kamal in rank:
We know that there are 9 girls ahead of Kamal. So, the remaining students ahead of him must be boys.

Number of boys ahead of Kamal = Kamal's position from the bottom - Number of girls ahead of Kamal
Number of boys ahead of Kamal = 44 - 9
Number of boys ahead of Kamal = 35

But we need to determine the number of boys after Kamal in rank. Since there are a total of 20 boys in the class, the number of boys after Kamal will be:
Number of boys after Kamal = Total number of boys - Number of boys ahead of Kamal
Number of boys after Kamal = 20 - 35
Number of boys after Kamal = -15

Since we cannot have a negative number of boys, it means there are no boys after Kamal in rank.

Therefore, the correct answer is option C) 12 boys after Kamal in rank.
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Community Answer
In a class of 60, where girls are twice that of boys, Kamal ranked sev...
Let the no. of boys = x
Let the no. of girls = 2x
According to question
x + 2x = 60
⇒ x = 20
Boys = 20
Girls = 40
If Kamal is at Seventeenth position and 9 girls are a head of him then out of 16 people standing ahead of him, seven are boys. Therefore, there are 12 boys are after him in a rank.
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