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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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?
- a)150
- b)210
- c)200
- d)40
Correct answer is option 'A'. 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.
From the diagram, we can understand that option A is correct.
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.
From the diagram, we can understand that option A is correct.
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Community Answer
Students in a college are discussing two proposals --1: a proposal by...
Analysis of the given 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
Calculating the number of students who supported proposal B, did not support proposal A, and preferred Ragini:
- 40% of students who did not support proposal 2 preferred Ragini
Number of students = 40% of 250 = 0.4 * 250 = 100
- 20% of those who supported proposal 2 preferred Sunita
Number of students = 20% of 250 = 0.2 * 250 = 50
- Every student who preferred Sunita and supported proposal 2 also supported proposal 1
Number of students = 50
- Among those who preferred Ragini, 30% supported proposal 1
Number of students = 30% of 300 = 0.3 * 300 = 90
- Among those who preferred Ragini, 20% did not support any of the proposals
Number of students = 20% of 300 = 0.2 * 300 = 60
- Total number of students who supported proposal B, did not support proposal A, and preferred Ragini
= Number of students who preferred Ragini - (Number of students who supported proposal 1 and preferred Ragini + Number of students who did not support any of the proposals)
= 300 - (90 + 60)
= 300 - 150
= 150
Therefore, 150 students supported proposal B, did not support proposal A, and preferred Ragini as student union president.
- 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
Calculating the number of students who supported proposal B, did not support proposal A, and preferred Ragini:
- 40% of students who did not support proposal 2 preferred Ragini
Number of students = 40% of 250 = 0.4 * 250 = 100
- 20% of those who supported proposal 2 preferred Sunita
Number of students = 20% of 250 = 0.2 * 250 = 50
- Every student who preferred Sunita and supported proposal 2 also supported proposal 1
Number of students = 50
- Among those who preferred Ragini, 30% supported proposal 1
Number of students = 30% of 300 = 0.3 * 300 = 90
- Among those who preferred Ragini, 20% did not support any of the proposals
Number of students = 20% of 300 = 0.2 * 300 = 60
- Total number of students who supported proposal B, did not support proposal A, and preferred Ragini
= Number of students who preferred Ragini - (Number of students who supported proposal 1 and preferred Ragini + Number of students who did not support any of the proposals)
= 300 - (90 + 60)
= 300 - 150
= 150
Therefore, 150 students supported proposal B, did not support proposal A, and preferred Ragini as student union president.
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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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. Can you explain this answer?
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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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. 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. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?a) 150b) 210c) 200d) 40Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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