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.
Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
- C
- H
- A
- F
The Correct Option is B
Solution and Explanation
Statement (1) implies that either A or B resides in region c, with the remaining one in region f.
Statement (2) establishes that D is located in region d.
Statement (3) indicates that either F or G is in region a, and the other is in region f.
Statement (4) proposes two possibilities: either both I and J are in region c, or one is in region b and the other in region c.
Statement (5) suggests that either H or I is in region b, and the other is in region a.
By integrating information from statements (4) and (5), it is deduced that I is in region b, H is in region a, and J is in region c.
Consequently, the following distribution is determined:
Region a contains 3 individuals (F or G, H, C or E). Region b contains 1 individual (I). Region c contains 3 individuals (A or B, J, C or E).
Region d contains 1 individual (D). Region f contains 2 individuals (B or A, G or F).
H is definitively an expert solely in Tabla.
Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?
- B
- G
- J
- E
The Correct Option is C
Solution and Explanation
Statement (1) indicates that either A or B is in region c, with the other in region f.
Statement (2) places D in region d.
Statement (3) asserts that either F or G is in region a, and the remaining one is in region f.
Statement (4) specifies that either both I and J are in region c, or one is in region b and the other in region c.
Statement (5) indicates that either H or I is in region b, with the other in region a.
Combining statements (4) and (5) leads to the conclusion that I is in region b, H is in region a, and J is in region c.
Consequently, the distribution is as follows:
Region a = 3 (F or G, H, C or E), Region b = 1 (I), Region c = 3 (A or B, J, C or E)
Region d = 1 (D), Region f = 2 (B or A, G or F)
J's sole area of expertise is confirmed to be Mridangam.
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
- C and F
- C and E
- F and G
The Correct Option is C
Solution and Explanation
From (1), one of A or B is in region c, and the other is in region f.
From (2), D is in region d.
From (3), one of F or G is in region a, and the other is in region f.
From (4), either both I and J are in region c, or I is in region b and J is in region c.
From (5), one of H or I is in region b, and the other is in region a.
Combining (4) and (5) indicates that I is in region b, H is in region a, and J is in region c.
Additionally, one musician from {A, B} and one musician from {F, G} are experts in both Tabla and Mridangam, but not Ghatam.
Since C and E are not among the four musicians {A, B, F, G}, C and E must reside in the same region.
The distribution of musicians per region is as follows:
- Region a: 3 musicians ({F or G}, H, {C or E})
- Region b: 1 musician (I)
- Region c: 3 musicians ({A or B}, J, {C or E})
- Region d: 1 musician (D)
- Region f: 2 musicians ({B or A}, {G or F})
Given that C and E are not part of the {A, B, F, G} group, the solution must involve C and E.
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?
- C, E and G
- C, G and H
- E, G and H
- E, F and H
The Correct Option is D
Solution and Explanation
From (1), either A or B is in region c, with the other in region f. From (2), D is in region d. From (3), either F or G is in region a, with the other in region f. From (4), either both I and J are in region c, or one is in region b and the other in region c. From (5), either H or I is in region b, with the other in region a.
Combining (4) and (5) indicates I is in region b, H is in region a, and J is in region c.
Additional information:
- C is an expert in Mridangam, but not F.
- F and E are exclusively Tabla experts.
- E, F, and H are Tabla experts, but not Mridangam or Ghatam experts.
Region allocations are as follows:
Region a = 3 (H, F or G, C or E)
- H is in region a (Tabla only).
- F or G is in region a (from (3)).
- C or E is in region a (based on Tabla and Mridangam expertise).
Region b = 1 (I)
- I is in region b (from (4) and (5)).
Region c = 3 (A or B, J, C or E)
- J is in region c (from (4)).
- One of A or B is in region c (from (1)).
- C or E is in region c (considering C's Mridangam expertise).
Region d = 1 (D)
- D is in region d (from (2)).
Region f = 2 (A or B, G or F)
- One of A or B is in region f (from (1)).
- One of G or F is in region f (from (3)).
Given F and E are solely Tabla experts and not Mridangam or Ghatam experts:
- F and E cannot share a region with C if C is allocated based on Mridangam expertise.
- H, F, and E are assigned to regions exclusively considering Tabla expertise.
The most logical placement is:
- Region a = H, G, C (H and G from prior conditions, C based on Mridangam expertise).
- Region b = I (I is in region b).
- Region c = A or B, J, E (J and E from prior conditions, A or B as per condition).
- Region d = D (D is in region d).
- Region f = B or A, F (from conditions).
Final placements:
- Region a = H (Tabla only), G (from condition), C (Mridangam expert)
- Region b = I (from condition)
- Region c = A or B (from condition), J (from condition), E (Tabla only)
- Region d = D (from condition)
- Region f = B or A (from condition), F (Tabla only)
E and F, exclusively Tabla experts, are placed accordingly. C, the Mridangam expert, is correctly placed in the final allocation.
Top Questions on Conclusion
- Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively. Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi - Want to practice more? Try solving extra ecology questions todayView All Questions