Question Details

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

Options

A

13

B

12

C

7

D

3

Show Answer

Correct Answer :

Option B

12

Solution :

The correct option is 12.

Let's break down the solution step-by-step to understand why this is the correct answer:

Step 1: Calculate the total number of boys and girls in the class
Let the number of boys be x.
Since the number of girls is twice the number of boys, the number of girls is 2x.
The total number of students in the class is 60. Therefore, we can write the equation:
x+2x=60
3x=60
x=20
So, the number of boys in the class is 20, and the number of girls is:
2×20=40.

Step 2: Analyze Kamal's position
Kamal is ranked 17th from the top.
This means there are exactly 16 students ranked ahead of Kamal.

Step 3: Determine the gender distribution of students ahead of Kamal
We are given that there are 9 girls ahead of Kamal.
Since there are 16 students in total ahead of Kamal, the number of boys ahead of Kamal is:
16-9=7 boys.

Step 4: Calculate the number of boys ranked after Kamal
The total number of boys in the class is 20.
These 20 boys are distributed as follows:
1. Boys ranked ahead of Kamal: 7 boys
2. Kamal himself: 1 boy (since Kamal is a boy)
3. Boys ranked after Kamal: Let this be y.
Therefore, the total number of boys is:
7+1+y=20
8+y=20
y=20-8=12.
Thus, the number of boys ranked after Kamal is 12.

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