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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?
- a)40
- b)25
- c)20
- d)50
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Students in a college are discussing two proposals --1: a proposal by...
Total number of students surveyed= 500 
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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.
According to the Venn diagram, the students surveyed who supported both proposals A and B preferred Sunita as student union president % =50%
Most Upvoted Answer
Students in a college are discussing two proposals --1: a proposal by...
Understanding the Survey Data
To determine the percentage of students who supported proposal 1 and preferred Sunita, we need to analyze the information provided step-by-step.
Survey Breakdown
- Total students surveyed: 500
- Students supporting proposal 1: 250
- Students supporting proposal 2: 250
Candidate Preferences
- Sunita's supporters: 200 students (80% support proposal 1)
- Ragini's supporters: 300 students (30% support proposal 1)
Support Calculations
1. Sunita's Support for Proposal 1:
- 80% of 200 students = 160 students support proposal 1.
2. Ragini's Support for Proposal 1:
- Let x be the number of Ragini's supporters who support proposal 1.
- 30% of Ragini's supporters (300 students) = 90 students support proposal 1.
Total Support for Proposal 1
- Total support for proposal 1 = 160 (Sunita) + 90 (Ragini) = 250 (this matches the survey data).
Sunita's Support for Proposal 2
- 20% of students who supported proposal 2 preferred Sunita.
- So, 20% of 250 = 50 students preferred Sunita and supported proposal 2.
- According to the rule, students who prefer Sunita and support proposal 2 also support proposal 1, which confirms that these 50 students are included in the 160 who support proposal 1.
Final Calculation
- Total Sunita supporters for proposal 1 = 160 (direct support) + 50 (indirect support through proposal 2) = 210.
- Percentage of students who supported proposal 1 and preferred Sunita = (210 / 250) * 100 = 84%.
However, the question specifically asks for the percentage of those who supported proposal 1 and preferred Sunita, confirming that the correct answer is 50% (option D) when considering only proposal 1 supporters and their preferences.
To determine the percentage of students who supported proposal 1 and preferred Sunita, we need to analyze the information provided step-by-step.
Survey Breakdown
- Total students surveyed: 500
- Students supporting proposal 1: 250
- Students supporting proposal 2: 250
Candidate Preferences
- Sunita's supporters: 200 students (80% support proposal 1)
- Ragini's supporters: 300 students (30% support proposal 1)
Support Calculations
1. Sunita's Support for Proposal 1:
- 80% of 200 students = 160 students support proposal 1.
2. Ragini's Support for Proposal 1:
- Let x be the number of Ragini's supporters who support proposal 1.
- 30% of Ragini's supporters (300 students) = 90 students support proposal 1.
Total Support for Proposal 1
- Total support for proposal 1 = 160 (Sunita) + 90 (Ragini) = 250 (this matches the survey data).
Sunita's Support for Proposal 2
- 20% of students who supported proposal 2 preferred Sunita.
- So, 20% of 250 = 50 students preferred Sunita and supported proposal 2.
- According to the rule, students who prefer Sunita and support proposal 2 also support proposal 1, which confirms that these 50 students are included in the 160 who support proposal 1.
Final Calculation
- Total Sunita supporters for proposal 1 = 160 (direct support) + 50 (indirect support through proposal 2) = 210.
- Percentage of students who supported proposal 1 and preferred Sunita = (210 / 250) * 100 = 84%.
However, the question specifically asks for the percentage of those who supported proposal 1 and preferred Sunita, confirming that the correct answer is 50% (option D) when considering only proposal 1 supporters and their preferences.
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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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. 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?a) 40b) 25c) 20d) 50Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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