CAT 2018 Slot 2 DILR Set 3 Q9–Q12

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 2, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.

Question 9

What is the minimum number of students enrolled in both G and L but not in K? [TITA]

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

Answer: 4 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

If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?
  1. A
    19
  2. B
    18
  3. C
    22
  4. D
    17

Answer: (C) 22 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 11

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and K? [TITA]

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

Answer: 2 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 12

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and L?
  1. A
    5
  2. B
    8
  3. C
    7
  4. D
    6

Answer: (D) 6 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.

Same concept in other years

See every question on Venn diagram: counts of items belonging to overlapping categories (3-4 sets).

More Venn & Set Puzzles questions from CAT

All 60 Venn & Set Puzzles questions asked since 2017.