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Instructions
Comprehension:
Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, and
B: 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 A and 250 students supported proposal B.
2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.
3. Among those who preferred Ragini, 30% supported proposal A.
4. 20% of those who supported proposal B preferred Sunita.
5. 40% of those who did not support proposal B preferred Ragini.
6. Every student who preferred Sunita and supported proposal B also supported proposal A.
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?
Verified Answer
InstructionsComprehension:Students in a college are discussing two pro...
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%
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Most Upvoted Answer
InstructionsComprehension:Students in a college are discussing two pro...
Understanding the Survey Data
The survey involved 500 students with balanced support for two proposals: 250 for proposal A and 250 for proposal B. We need to determine the percentage of students supporting proposal A who preferred Sunita for student union president.
Breaking Down the Preferences
- Sunita Supporters:
- 200 students preferred Sunita.
- 80% of these Sunita supporters supported proposal A:
- 80% of 200 = 160 students.
- Ragini Supporters:
- 300 students preferred Ragini (500 total - 200 for Sunita).
- 30% of Ragini supporters backed proposal A:
- 30% of 300 = 90 students.
Total Support for Proposal A
- Total Supporters of Proposal A:
- Total from Sunita = 160.
- Total from Ragini = 90.
- Combined = 160 + 90 = 250 students.
Calculating Sunita's Percentage among Proposal A Supporters
- Sunita's Support for Proposal A:
- 160 students who support proposal A also preferred Sunita.
- Percentage Calculation:
- To find the percentage of Sunita supporters among those who supported proposal A:
- (Number of Sunita supporters who support A / Total supporters of A) * 100
- (160 / 250) * 100 = 64%.
Conclusion
Among the students surveyed who supported proposal A, 64% preferred Sunita for student union president, confirming the correct answer.
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InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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?
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InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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 InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: 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 A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.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.
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