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Year

CAT 2020

Section

Data

Topic

Venn Diagrams

Difficulty

Medium

Question

Slot-1

Read the passage and answer the questions below.

Passage:

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 1

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

A

F

H

C

Question 2

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?

B

J

G

E

Question 3

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

A and B

F and G

C and E

C and F

Question 4

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?

E, F and H

C, G and H

E, G and H

C, E and G

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