CAT 2020 Slot 1 DILR Set 4 Q17–Q20

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2020 Slot 1, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.

The following facts are known about these ten musicians.
  1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
  2. D is an expert in both tabla and ghatam.
  3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
  4. Neither I nor J is an expert in tabla.
  5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

Question 17

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
  1. A
    A
  2. B
    F
  3. C
    H
  4. D
    C

Answer: (C) H 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 18

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?
  1. A
    B
  2. B
    J
  3. C
    G
  4. D
    E

Answer: (B) J 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 19

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?
  1. A
    A and B
  2. B
    F and G
  3. C
    C and E
  4. D
    C and F

Answer: (C) C and E 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 20

If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?
  1. A
    E, F and H
  2. B
    C, G and H
  3. C
    E, G and H
  4. D
    C, E and G

Answer: (A) E, F and H 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.