Directions: Study the paragraph and answer the questions that follow.
How many boys are there in the section A of class 12 th ?
24
Understanding the Problem
The problem provides information about the number of students, boys, and girls in different sections of Class 10th and Class 12th based on ratios and percentages. We need to find the number of boys specifically in section A of class 12th.
Step-by-Step Calculation
1. Calculate the number of boys in Class 10th, Section A.
The paragraph states that in sections A, B, and C of class 10th, the girl to boy ratio is 2 ∶ 3. The total number of students in each section is 50.
- Ratio of girls to boys = 2 ∶ 3
- Total ratio parts = 2 + 3 = 5
- Total students in Section A (Class 10th) = 50
To find the number of boys in Class 10th, Section A, we use the boy's ratio part and the total ratio parts:
Number of boys in Class 10th, Section A = (Boy's ratio part / Total ratio parts) × Total students
Number of boys in Class 10th, Section A = (3 / 5) × 50
Number of boys in Class 10th, Section A = 3 × (50 / 5)
Number of boys in Class 10th, Section A = 3 × 10
Number of boys in Class 10th, Section A = 30
So, there are 30 boys in section A of class 10th.
2. Calculate the number of boys in Class 12th, Section A.
The paragraph states that the number of boys in section A of class 12th is 80% of the number of boys in section A of class 10th.
- Number of boys in Class 10th, Section A = 30
- Percentage for Class 12th, Section A boys = 80%
To find the number of boys in Class 12th, Section A, we calculate 80% of 30:
Number of boys in Class 12th, Section A = 80% of 30
Number of boys in Class 12th, Section A = (80 / 100) × 30
Number of boys in Class 12th, Section A = 0.80 × 30
Number of boys in Class 12th, Section A = 24
Therefore, there are 24 boys in section A of class 12th.
Final Answer
Based on the calculations, the number of boys in the section A of class 12th is 24.
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?
