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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?
Verified 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.
According to the Venn diagram, the students surveyed who supported both proposals A and B preferred Sunita as student union president % =50%
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Most Upvoted Answer
Students in a college are discussing two proposals --1: a proposal by...
THERE IS A SLIGHT ERROR IN THE QUESTION ,THE ACTUAL QUESTION IS AMONG STUDENTS WHO PREFER BOTH PROPOSALS A &B  I.E 100 STUDENTS WHAT IS PERCENTAGE OF STUDENTS WHO ELECTED SUNITA ,ANS 50 /100 STUDENTS I.E 50%.

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Community Answer
Students in a college are discussing two proposals --1: a proposal by...
Analysis:
- We know that 250 students supported proposal 1 and 250 students supported proposal 2.
- Among the 200 students who preferred Sunita, 80% supported proposal 1.
- Among those who preferred Ragini, 30% supported proposal 1.
- 20% of those who supported proposal 2 preferred Sunita.
- 40% of those who did not support proposal 2 preferred Ragini.
- Every student who preferred Sunita and supported proposal 2 also supported proposal 1.
- Among those who preferred Ragini, 20% did not support any of the proposals.

Solution:
- Let's assume that the number of students who preferred Sunita and supported proposal 1 is x.
- Therefore, the number of students who preferred Sunita and supported proposal 2 is 0.2x (20%).
- From the information given, we can write the following equations:
- x + 0.2x = 200 (total students who preferred Sunita)
- 0.8x + 0.2(0.2x) = 250 (total students who supported proposal 1)
- Solving these equations, we get x = 125.
- Therefore, the percentage of students surveyed who supported proposal 1 and preferred Sunita for student union president is (125/250)*100 = 50%.
Therefore, the correct answer is option 'D' - 50%.
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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?
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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? 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?.
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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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