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
- A round table has seven chairs around it. The chairs are numbered 1 through 7 in a clockwise direction. Four friends, Aslam (A), Bashir (B), Chhavi (C), and Davies (D), sit on four of the chairs. In the starting position, Aslam and Chhavi are sitting next to each other, while for Bashir as well as Davies, there are empty chairs on either side of the chairs they are sitting on.
The friends take turns moving either clockwise or counterclockwise from their chair. The friend who has to move in a turn occupies the first empty chair in whichever direction they choose to move. Aslam moves first (Turn 1), followed by Bashir, Chhavi, and Davies (Turns 2, 3, and 4, respectively). Then Aslam moves again followed by Bashir, and Chhavi (Turns 5, 6, and 7, respectively).
The following information is known: 1. The four friends occupy adjacent chairs only at the end of Turn 2 and Turn 6. 2. Davies occupies Chair 2 after Turn 1 and Chair 4 after Turn 5, and Chhavi occupies Chair 7 after Turn 2. At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. & nbsp;
The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.
1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
3. The following is known about ratings given by Lalu (Novice manager):
– Bunty received a rating of 1 in Quarter 2. & nbsp;
– Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.- 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 - 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:
1. There was at least one new case in every neighbourhood on Day 1.
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
4. The maximum number of new cases in a day in Pesmisto was 2 and this happenedonly once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto,Tyhrmisto,Pesmisto and Kitmisto over the five-day period were 12,12,5 and 14 respectively. - The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.
Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.
The following additional facts are also known.
1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
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.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.
Questions Asked in CAT exam
- In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?
- CAT - 2025
- Number Systems
- The number of distinct pairs of integers $(x, y)$ satisfying the inequalities $x>y \ge 3$ and $x + y<14$ is:
- CAT - 2025
- Number Systems
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
- CAT - 2025
- Linear Inequalities
- The number of distinct integers $n$ for which $\log_{\left(\frac14\right)(n^2 - 7n + 11)>0$ is:}
- CAT - 2025
- Linear Inequalities
- If $a - 6b + 6c = 4$ and $6a + 3b - 3c = 50$, where $a, b$ and $c$ are real numbers, the value of $2a + 3b - 3c$ is:
- CAT - 2025
- Linear & Quadratic Equations