Year
CAT 2019
Section
Data
Topic
Venn Diagrams
Difficulty
Hard
Question
Slot-2
Read the passage and answer the questions below.
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.
-
250 students supported proposal A and 250 students supported proposal B.
-
Among the 200 students who preferred Sunita as student union president, supported proposal A.
-
Among those who preferred Ragini, supported proposal A.
-
of those who supported proposal B preferred Sunita.
-
of those who did not support proposal B preferred Ragini.
-
Every student who preferred Sunita and supported proposal B also supported proposal A
-
Among those who preferred Ragini, 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 and 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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