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
From (1), either A or B will be in region c, and the other will be in region f.
From (2), D is in region d.
From (3), either F or G will be in region a, and the other will be in region f.
From (4), either both I and J will be in region c, or one will be in region b and the other in region c.
From (5), either H or I will be in region b, and the other will be in region a.
By combining (4) and (5), I will be in region b, H will be in region a, and J will be in region c.
Therefore, we have:
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)
H definitely is an expert only 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
From (1), either A or B will be in region c, and the other will be in region f.
From (2), D is in region d.
From (3), either F or G will be in region a, and the other will be in region f.
From (4), either both I and J will be in region c, or one will be in region b and the other in region c.
From (5), either H or I will be in region b, and the other will be in region a.
By combining (4) and (5), I will be in region b, H will be in region a, and J will be in region c.
Therefore, we have:
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 definitely is an expert only in 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), either A or B will be in region c, and the other will be in region f.
From (2), D is in region d.
From (3), either F or G will be in region a, and the other will be in region f.
From (4), either both I and J will be in region c, or one will be in region b and the other in region c.
From (5), either H or I will be in region b, and the other will be in region a.
By combining (4) and (5), I will be in region b, H will be in region a, and J will be in region c.
Also, one of A and B, and one of G and F are experts in both Tabla and Mridangam, but not Ghatam.
Since C and E do not include any of these four musicians (A, B, F, G), C and E must be in the same region.
Therefore, we have:
- 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)
Since C and E do not include any of the four musicians (A, B, F, G), the answer must be 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 will be in region c, and the other will be in region f.
From (2), D is in region d.
From (3), either F or G will be in region a, and the other will be in region f.
From (4), either both I and J will be in region c, or one will be in region b and the other in region c.
From (5), either H or I will be in region b, and the other will be in region a.
By combining (4) and (5), I will be in region b, H will be in region a, and J will be in region c.
Additional information:
- C is an expert in Mridangam but not F.
- F and E are experts only in Tabla.
- E, F, and H are experts in Tabla but not in Mridangam or Ghatam.
Therefore, the regions are allocated as follows:
Region a = 3 (H, F or G, C or E)
- H is in region a (only in Tabla).
- F or G will be in region a (from (3)).
- C or E will be in region a (considering expertise in Tabla and Mridangam).
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 will be in region c (considering C's expertise in Mridangam).
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)).
Considering F and E are only Tabla experts and not Mridangam or Ghatam experts:
- F and E cannot be in the same region as C if C is placed based on Mridangam expertise.
- H, F, and E are definitely in regions where only Tabla expertise is considered.
So, the most logical placement:
- Region a = H, G, C (H and G from previous 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 previous conditions, A or B as per condition).
- Region d = D (D is in region d).
- Region f = B or A, F (from conditions).
Therefore, the placements are:
- 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)
Hence, E and F are experts only in Tabla and placed in regions accordingly. C is the Mridangam expert placed correctly in the final allocation.
Top Questions on Conclusion
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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 - There are only four neighbourhoods in a city-Levmisto, Tyhrmisto,Pesmisto and Kitmisto. During the onset of a pandemic,the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0,1,2 or 3.
The following facts are also known:
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2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
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The following additional facts are also known.
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3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
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v. The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.
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