Finding the Boy to Girl Ratio in Class 12 Section F

Let's break down the information given in the paragraph to find the boy to girl ratio in Section F of Class 12.

First, we need to understand the distribution of students in Class 10, Section F.

• Total students in each section = 50.
• In Class 10, Section F, there are equal numbers of boys and girls.

So, in Class 10, Section F:

• Number of boys = 50 / 2 = 25
• Number of girls = 50 / 2 = 25

Next, let's look at the information for Class 12. The rule for the "other sections" of Class 12 (which includes F) states:

• The number of girls in these sections is 60% of the number of boys in the respective sections of Class 10.

Applying this rule to Class 12, Section F:

• Number of girls in Class 12, Section F = 60% of the number of boys in Class 10, Section F.
• Number of girls in Class 12, Section F = 60% of 25
• Number of girls in Class 12, Section F = 0.60 × 25
• Number of girls in Class 12, Section F = 15

The paragraph implies that each section maintains a total of 50 students, similar to Class 10. Assuming Class 12 Section F also has 50 students total:

• Total students in Class 12, Section F = 50
• Number of girls in Class 12, Section F = 15

We can find the number of boys in Class 12, Section F by subtracting the number of girls from the total number of students:

• Number of boys in Class 12, Section F = Total students - Number of girls
• Number of boys in Class 12, Section F = 50 - 15
• Number of boys in Class 12, Section F = 35

Now, we need to find the boy to girl ratio in Class 12, Section F.

• Boy : Girl ratio = Number of boys : Number of girls
• Boy : Girl ratio = 35 : 15

To simplify the ratio, find the greatest common divisor (GCD) of 35 and 15, which is 5. Divide both numbers by 5:

• 35 ÷ 5 = 7
• 15 ÷ 5 = 3

The simplified boy to girl ratio in Class 12, Section F is 7 : 3.

This matches one of the given options.