CAT 2020 Slot 1 — DILR Question 5
Answer the next 4 questions based on the information given below.
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.
- Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
- D is an expert in both tabla and ghatam.
- Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
- Neither I nor J is an expert in tabla.
- Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.
Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
Answer & solution
- A
F
- B
A
H
- D
C
We can draw the following Venn diagram based on the information given in the main paragraph.
D is an expert in both tabla and ghatam.
Since I is neither an expert in tabla nor in mridangam hence, he is an expert in ghatam
∴ D and I are the only two experts in ghatam.
Now, J is not an expert in tabla hence, he can only be an expert in mridangam only.
Also, H is not an expert in mridangam hence, he can only be an expert in tabla only.
Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
There are two experts in tabla and mridangam only one of them is either A or B and the other is either F or G.
∴ We can make the following Venn diagram
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∴ H is an expert in tabla only.
Hence, option (c).