CAT Exam > CAT Questions > Students in a college are discussing two pro...
Start Learning for Free
Students in a college are discussing two proposals --
1: a proposal by the authorities to introduce dress code on campus, and
2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.
A student does not necessarily support either of the two proposals.
In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.
A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1. 250 students supported proposal 1 and 250 students supported proposal 2.
2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1.
3. Among those who preferred Ragini, 30% supported proposal 1.
4. 20% of those who supported proposal 2 preferred Sunita.
5. 40% of those who did not support proposal 2 preferred Ragini.
6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1.
7. Among those who preferred Ragini, 20% did not support any of the proposals.
Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?
Correct answer is '64'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Students in a college are discussing two proposals --1: a proposal by...
Total number of students surveyed= 500 
View all questions of this test
Every student prefers one of the two candidates. Ragini(R) and Sunita(S).
Thus, R+S=500.
According to statement 2, "Among the 200 students who preferred Sunita as student union president, 80% supported proposal A."
The number of students who support Sunita(S)=200 The number of students who supported Ragini(R)=300
According to statements 2 and 3, 160 students who supported Sunita also supported the proposal A & 90 students who supported Ragini also supported proposal A.
According to statements 4 and 6, we can make the following Venn diagram for Sunita.
According to statement 5 and 7, we can make the following Venn diagram.
The number of students who preferred Sunita and the proposal A=160 =160/250= 64%
Most Upvoted Answer
Students in a college are discussing two proposals --1: a proposal by...
Total number of students surveyed= 500
Every student prefers one of the two candidates. Ragini(R) and Sunita(S).
Thus, R+S=500.
According to statement 2, "Among the 200 students who preferred Sunita as student union president, 80% supported proposal A."
The number of students who support Sunita(S)=200 The number of students who supported Ragini(R)=300
According to statements 2 and 3, 160 students who supported Sunita also supported the proposal A & 90 students who supported Ragini also supported proposal A.
According to statements 4 and 6, we can make the following Venn diagram for Sunita.
According to statement 5 and 7, we can make the following Venn diagram.
The number of students who preferred Sunita and the proposal A=160 =160/250= 64%
Free Test
FREE
| Start Free Test |
Community Answer
Students in a college are discussing two proposals --1: a proposal by...
Analysis:
Step 1: Identify the relevant information
- Total students surveyed: 500
- Students supporting proposal 1: 250
- Students supporting proposal 2: 250
- Students preferring Sunita for president: 200
- Students preferring Ragini for president: 300
Step 2: Calculate the number of students supporting Sunita and proposal 1
- 80% of students supporting Sunita also support proposal 1
- Number of students supporting Sunita and proposal 1 = 200 * 0.8 = 160
Step 3: Calculate the number of students supporting Ragini and proposal 1
- 30% of students supporting Ragini also support proposal 1
- Number of students supporting Ragini and proposal 1 = 300 * 0.3 = 90
Step 4: Calculate the number of students supporting proposal 2 and preferring Sunita
- 20% of students supporting proposal 2 prefer Sunita
- Number of students supporting proposal 2 and prefer Sunita = 250 * 0.2 = 50
Step 5: Calculate the total number of students supporting proposal A and prefer Sunita
- Total number of students supporting proposal 1 and prefer Sunita = Number of students supporting Sunita and proposal 1 + Number of students supporting proposal 2 and prefer Sunita = 160 + 50 = 210
Step 6: Calculate the percentage of students supporting proposal A and prefer Sunita
- Percentage = (Number of students supporting proposal 1 and prefer Sunita / Total students supporting proposal 1) * 100
- Percentage = (210 / 250) * 100 = 84%
Therefore, among the students surveyed who supported proposal A, 84% preferred Sunita for the student union president.
Step 1: Identify the relevant information
- Total students surveyed: 500
- Students supporting proposal 1: 250
- Students supporting proposal 2: 250
- Students preferring Sunita for president: 200
- Students preferring Ragini for president: 300
Step 2: Calculate the number of students supporting Sunita and proposal 1
- 80% of students supporting Sunita also support proposal 1
- Number of students supporting Sunita and proposal 1 = 200 * 0.8 = 160
Step 3: Calculate the number of students supporting Ragini and proposal 1
- 30% of students supporting Ragini also support proposal 1
- Number of students supporting Ragini and proposal 1 = 300 * 0.3 = 90
Step 4: Calculate the number of students supporting proposal 2 and preferring Sunita
- 20% of students supporting proposal 2 prefer Sunita
- Number of students supporting proposal 2 and prefer Sunita = 250 * 0.2 = 50
Step 5: Calculate the total number of students supporting proposal A and prefer Sunita
- Total number of students supporting proposal 1 and prefer Sunita = Number of students supporting Sunita and proposal 1 + Number of students supporting proposal 2 and prefer Sunita = 160 + 50 = 210
Step 6: Calculate the percentage of students supporting proposal A and prefer Sunita
- Percentage = (Number of students supporting proposal 1 and prefer Sunita / Total students supporting proposal 1) * 100
- Percentage = (210 / 250) * 100 = 84%
Therefore, among the students surveyed who supported proposal A, 84% preferred Sunita for the student union president.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer?
Question Description
Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer?.
Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer?.
Solutions for Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer?, a detailed solution for Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? has been provided alongside types of Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?Correct answer is '64'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup