CAT 2019 Slot 2 DILR Set 3 Q9–Q12

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2019 Slot 2, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

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 9

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 64 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 10

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 84 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 11

What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?
  1. A
    25
  2. B
    50
  3. C
    40
  4. D
    20

Answer: (B) 50 Venn & Set Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 12

How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?
  1. A
    40
  2. B
    210
  3. C
    200
  4. D
    150

Answer: (D) 150 Venn & Set Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.