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:
Correct Answer :
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 .
Since the number of girls is twice the number of boys, the number of girls is .
The total number of students in the class is 60. Therefore, we can write the equation:
So, the number of boys in the class is 20, and the number of girls is:
.
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:
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 .
Therefore, the total number of boys is:
.
Thus, the number of boys ranked after Kamal is 12.
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