Home
Class 14
MATHS
Direction: Read the data given below and...

Direction: Read the data given below and answer the question based on it. There were 3 sections namely A, B and C in a test. Out of three sections, 33 students passed in Section A, 34 students passed in Section B and 32 passed in Section C. 10 students passed in Section A and Section B, 9 passed in Section B and Section C, 8 passed in Section A and Section C. The number of students who passed each section alone was equal and was 21 for each section.How many passed only one of the three sections ?
A. 21
B. 42
C. 63
D. 52

A

A

B

C

C

D

D

B

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine how many students passed only one of the three sections A, B, and C. We will use the information provided in the question step by step. ### Step 1: Understand the given data - Students who passed Section A = 33 - Students who passed Section B = 34 - Students who passed Section C = 32 - Students who passed both Section A and B = 10 - Students who passed both Section B and C = 9 - Students who passed both Section A and C = 8 - Students who passed only Section A, only Section B, and only Section C = 21 each ### Step 2: Define the variables Let: - \( x_A \) = number of students who passed only Section A - \( x_B \) = number of students who passed only Section B - \( x_C \) = number of students who passed only Section C - \( x_{AB} \) = number of students who passed both A and B but not C = 10 - \( x_{BC} \) = number of students who passed both B and C but not A = 9 - \( x_{AC} \) = number of students who passed both A and C but not B = 8 From the problem, we know: - \( x_A = x_B = x_C = 21 \) ### Step 3: Calculate the total number of students who passed only one section The total number of students who passed only one section can be calculated as: \[ \text{Total who passed only one section} = x_A + x_B + x_C \] Substituting the values: \[ \text{Total who passed only one section} = 21 + 21 + 21 = 63 \] ### Step 4: Conclusion Thus, the total number of students who passed only one of the three sections is **63**. ### Final Answer The answer is **C. 63**.
Promotional Banner

Similar Questions

Explore conceptually related problems

Read the data given below and answer the quesitons based on it. There were 3 sections namely A, B and C in a test. Out of three sections, 33 passed section A, 34 students passed in Section B and 32 passed in Section C. 10 students passed in Section A and Section B, 9 passed in Section B and Section C, 8 passed in Section A and Section C. The number of students who passed each seciton alone was equal and was 21 for each section. How many passed all the three sections ? A. 3 B. 6 C. 5 D. 7

Read the data given below and answer the questions based on it. There were 3 sections namely A, B and C in a test. Out of three 33 students passed in section A, 34 students passed in Section B and 32 passed in Section C. 10 students passed in Section A and Section B, 9 passed in Section B and Section C, 8 passed in Section A and Section C. The number of students who passed each section alone was equal and was 21 for each section. The ratio of the number of students passed in one or more of the sections to the number of students who passed in section A alone is : A. 78/21 B. 3 C. 73/21 D. 75/21

Discussion OF section C

The pie chart given below shows the number of students in 6 different sections. The total number of students is 1800. What is the ratio of number of students in section D to the number of students in section F and B?

The pie chart given below shows the number of students in 6 different sections. The total number of students is 1800. What is the total number of students in section E, C and F?

In a school there are two sections, namely A and B, of class X. there are 30 students in section A and 28 students in section B. find the minimum number of books required for their class library so that they can be distributed equally among students of section A ore section B.

There are three section A,B, C in a paper each section having 5 questions . In how many ways a student can solve exactly 5 questions taken at least one question from each section.