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Directions for Questions: 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.
(2019)
Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?
  • a)
    50
  • b)
    25
  • c)
    20
  • d)
    40
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions for Questions: Students in a college are discussing two pro...
As per question it is not clear that a student can not prefer both Ragini and Sunita simultaneously
From point 1, 250 students supported proposal A and 250 students supported proposal B
From point 2, it is clear that 200 students preferred Sunita so number of students who preferred Ragini = 500 – 200 = 300
Number of students who preferred Sunita and supported proposal A = 80% of 200 = 160
From point 3, Number of students who preferred Ragini and supported proposal A = 30% of 300 = 90
From point 4, Number of students who preferred Sunita and supported proposal B = 20% of 250 = 50 
From point 6, Number of students who preferred Sunita and supported proposal A and B both = 50
From point 7, Number of students who preferred Ragini and didn’t supported any proposal = 20% of 300 = 60
Now the complete table can be formed as given below :

Number of students who supported both proposals A and B = 100
Number of the students surveyed who supported both proposals A and B and preferred Sunita as student union president = 50
∴ Required % = 
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Directions for Questions: 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 aretwo 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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. Can you explain this answer?
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Directions for Questions: 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 aretwo 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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)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 Directions for Questions: 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 aretwo 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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)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 Directions for Questions: 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 aretwo 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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. Can you explain this answer?.
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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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. 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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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. 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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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. 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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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. 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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.(2019)Q. What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?a)50b)25c)20d)40Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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