Directions: Study the paragraph and answer the questions that follow.
How many girls are there in the section C of class 12 th ?
18
The problem provides details about the student distribution in different sections and classes of a senior secondary school. We need to find the number of girls in section C of class 12th.
First, let's understand the information given for Class 10th and Class 12th sections relevant to section C.
Understanding Class 10th Section C Data
Each section in Class 10th has 50 students. For sections A, B, and C of Class 10th, the girl to boy ratio is 2 ∶ 3.
- Total students in Class 10th, Section C = 50
- Girl : Boy ratio = 2 : 3
- Total ratio parts = 2 (girls) + 3 (boys) = 5 parts
- Number of students per ratio part = Total students / Total ratio parts = 50 / 5 = 10 students per part.
Now, we can find the number of boys and girls in Class 10th, Section C:
- Number of girls in Class 10th, Section C = 2 parts × 10 students/part = 20 girls
- Number of boys in Class 10th, Section C = 3 parts × 10 students/part = 30 boys
We can quickly check: 20 girls + 30 boys = 50 students, which matches the total for the section. The ratio 20:30 simplifies to 2:3, also matching the given ratio.
Calculating Girls in Class 12th Section C
The problem states that for the "other sections" of Class 12th (which include C, D, E, and F), the number of girls is 60% of the number of boys in the respective sections of Class 10th.
Section C is one of these "other sections". Therefore, the number of girls in Class 12th, Section C depends on the number of boys in Class 10th, Section C.
- Number of boys in Class 10th, Section C = 30 boys (as calculated above).
- Number of girls in Class 12th, Section C = 60% of (Number of boys in Class 10th, Section C).
Let's calculate the number of girls:
Number of girls in Class 12th, Section C = 60% of 30
Number of girls in Class 12th, Section C = $\frac{60}{100} \times 30$
Number of girls in Class 12th, Section C = $0.60 \times 30$
Number of girls in Class 12th, Section C = 18
Therefore, there are 18 girls in section C of class 12th.
Let's summarize the steps and result in a table:
| Details | Class 10th, Section C | Class 12th, Section C |
|---|---|---|
| Total Students | 50 | - |
| Girl : Boy Ratio | 2 : 3 | - |
| Calculated Boys | 30 | - |
| Calculated Girls (Class 10th) | 20 | - |
| Girls (relative to Class 10th Boys) | - | 60% of Class 10th Boys |
| Calculated Girls (Class 12th) | - | 18 |
The calculation shows that there are 18 girls in section C of class 12th.
Important Questions from Caselet DI
Study the given table carefully and answer the following question.
The table shows the percentage of students of four departments - Mechanical, Civil, Computer Science and Applied - with each student being in only one department. The table also shows the number of students of these four departments in five different colleges, with the total number of students being 2080.
If the number of students in IIT Bombay is 20% less than the number of students in IIT Madras, then what is the difference between the total number of students who study in the Applied department in these two colleges and that of the students who study in the Civil department in these two colleges?College Students Mechanical Civil Computer Science Applied IIT Delhi 430 - 20% - 10% IIT Kanpur 350 20% - 25% - IIT Bombay - 20% 18% - 32% IIT Madras - - 25% 18% 35% IIT Guwahati 400 20% 22% - 20% How many students like only one vegetable?
A. 60
B. 61
C. 65
D. 71
The difference between the people who like carrot and cauliflower is
A. 6
B. 18
C. 16
D. 4What is the percentage of students that do not like cabbage?
A. 16
B. 32
C. 24
D. 68
What is the monthly electricity bill for a house with m rooms and consuming n units?
