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CAT DILR : CAT 2019 Question Paper Slot 2

Set 3 : Students & Proposals

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.

Question 3 : What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?

  1. 25
  2. 50
  3. 40
  4. 20

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Explanatory Answer

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The question is "What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?"

Hence, the answer is 50

Choice B is the correct answer.

 

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