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Year

CAT 2019

Section

Data

Topic

Venn Diagrams

Difficulty

Hard

Question

Slot-2

Read the passage and answer the questions below.

Passage:

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%80 \% supported proposal A.

  3. Among those who preferred Ragini, 30%30 \% supported proposal A.

  4. 20%20 \% of those who supported proposal B preferred Sunita.

  5. 40%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%20 \% did not support any of the proposals.

Question 1

Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?

Question 2

What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president?

Question 3

What percentage of the students surveyed who supported both proposals AA and BB preferred Sunita as student union president?

40

25

20

50

Question 4

How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?

150

210

200

40

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