The following additional facts are known.
i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.
ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT.
iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET.
iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both.
v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.
The second question in ET was prepared by:
- Dave
- Beti
- Chetan
- Esha
The Correct Option is A
Solution and Explanation
In the following, faculties are referred to by the first letter of their names. Each of MT and ET is assigned 100 marks, with a minimum requirement of at least four questions of 5 marks (4 x 5 = 20), at least three questions of 10 marks (3 x 10 = 30), and at least two questions of 15 marks (2 x 15 = 30). These combine to make up 80 marks. The remaining 20 marks can be distributed among the following possibilities: (Four questions of 5 marks), or (two questions of 10 marks), or (one question of 5 marks and one question of 15 marks), or (two questions of 5 marks and one question of 10 marks). Thus, the total number of questions in MT or ET can be 11, 12, or 13.
Given that ET has more questions than MT, MT has either 11 or 12 questions. However, if MT has 12 questions and ET has 13 questions, or if MT has 11 questions and ET has 12 questions, this condition cannot be satisfied. Therefore, MT has 11 questions (five 5 marks, three 10 marks, and three 15 marks), and ET has 13 questions (eight 5 marks, three 10 marks, and two 15 marks).
This implies that each faculty has contributed four questions in total for MT and ET combined. Since Faculty A has provided only one question in MT, and all other faculties have contributed more than one question, faculties B, C, D, E, and F each have two questions in MT. Consequently, the distribution of questions in MT and ET can be inferred.
In MT, questions 2, 4, and 10 are given by F, C, and D, respectively. Faculty B provides questions 6, 7, and 9 consecutively. The pattern for MT is such that questions 1 to 5 carry 5 marks each, questions 6 to 8 carry 10 marks each, and questions 9 to 11 carry 15 marks each.
In ET, questions 2, 4, 6, 7, 9, 10, 11, and 12 are provided by D, C, A, A, E, B, B, and F, respectively. The distribution of marks in ET is such that questions 1 to 8 carry 8 marks each, questions 9 to 11 carry 10 marks each, and questions 12 and 13 carry 15 marks each.
The second question in ET was prepared by Dave. Ans: (Dave)
How many 5- mark questions were there in MT and ET combined?
- 12
- 10
- 13
- Cannot be determined
The Correct Option is C
Solution and Explanation
In the following, faculties are referred to by the first letter of their names. Each of MT and ET is assigned 100 marks, with a minimum requirement of at least four questions of 5 marks (4 x 5 = 20), at least three questions of 10 marks (3 x 10 = 30), and at least two questions of 15 marks (2 x 15 = 30). These combine to make up 80 marks. The remaining 20 marks can be distributed among the following possibilities: (Four questions of 5 marks), or (two questions of 10 marks), or (one question of 5 marks and one question of 15 marks), or (two questions of 5 marks and one question of 10 marks). Thus, the total number of questions in MT or ET can be 11, 12, or 13.
Given that ET has more questions than MT, MT has either 11 or 12 questions. However, if MT has 12 questions and ET has 13 questions, or if MT has 11 questions and ET has 12 questions, this condition cannot be satisfied. Therefore, MT has 11 questions (five 5 marks, three 10 marks, and three 15 marks), and ET has 13 questions (eight 5 marks, three 10 marks, and two 15 marks).
This implies that each faculty has contributed four questions in total for MT and ET combined. Since Faculty A has provided only one question in MT, and all other faculties have contributed more than one question, faculties B, C, D, E, and F each have two questions in MT. Consequently, the distribution of questions in MT and ET can be inferred.
In MT, questions 2, 4, and 10 are given by F, C, and D, respectively. Faculty B provides questions 6, 7, and 9 consecutively. The pattern for MT is such that questions 1 to 5 carry 5 marks each, questions 6 to 8 carry 10 marks each, and questions 9 to 11 carry 15 marks each.
In ET, questions 2, 4, 6, 7, 9, 10, 11, and 12 are provided by D, C, A, A, E, B, B, and F, respectively. The distribution of marks in ET is such that questions 1 to 8 carry 8 marks each, questions 9 to 11 carry 10 marks each, and questions 12 and 13 carry 15 marks each.
In MT and ET together, there are 13 questions Ans: (13)
Who prepared 15-mark questions for MT and ET?
- Only Dave and Fakir
- Only Beti, Dave, Esha and Fakir
- Only Esha and Fakir
- Only Dave, Esha and Fakir
The Correct Option is D
Solution and Explanation
In the following, faculties are referred to by the first letter of their names. Each of MT and ET is assigned 100 marks, with a minimum requirement of at least four questions of 5 marks (4 x 5 = 20), at least three questions of 10 marks (3 x 10 = 30), and at least two questions of 15 marks (2 x 15 = 30). These combine to make up 80 marks. The remaining 20 marks can be distributed among the following possibilities: (Four questions of 5 marks), or (two questions of 10 marks), or (one question of 5 marks and one question of 15 marks), or (two questions of 5 marks and one question of 10 marks). Thus, the total number of questions in MT or ET can be 11, 12, or 13.
Given that ET has more questions than MT, MT has either 11 or 12 questions. However, if MT has 12 questions and ET has 13 questions, or if MT has 11 questions and ET has 12 questions, this condition cannot be satisfied. Therefore, MT has 11 questions (five 5 marks, three 10 marks, and three 15 marks), and ET has 13 questions (eight 5 marks, three 10 marks, and two 15 marks).
This implies that each faculty has contributed four questions in total for MT and ET combined. Since Faculty A has provided only one question in MT, and all other faculties have contributed more than one question, faculties B, C, D, E, and F each have two questions in MT. Consequently, the distribution of questions in MT and ET can be inferred.
In MT, questions 2, 4, and 10 are given by F, C, and D, respectively. Faculty B provides questions 6, 7, and 9 consecutively. The pattern for MT is such that questions 1 to 5 carry 5 marks each, questions 6 to 8 carry 10 marks each, and questions 9 to 11 carry 15 marks each.
In ET, questions 2, 4, 6, 7, 9, 10, 11, and 12 are provided by D, C, A, A, E, B, B, and F, respectively. The distribution of marks in ET is such that questions 1 to 8 carry 8 marks each, questions 9 to 11 carry 10 marks each, and questions 12 and 13 carry 15 marks each.
The 15 marks questions in MT and ET are formulated exclusively by Dave, Esha, and Fakir. Answer: (Only Dave, Esha, and Fakir)
Which of the following questions did Beti prepare in ET?
- Seventh question
- Fourth question
- Ninth question
- Tenth question
The Correct Option is D
Solution and Explanation
In the following, faculties are referred to by the first letter of their names. Each of MT and ET is assigned 100 marks, with a minimum requirement of at least four questions of 5 marks (4 x 5 = 20), at least three questions of 10 marks (3 x 10 = 30), and at least two questions of 15 marks (2 x 15 = 30). These combine to make up 80 marks. The remaining 20 marks can be distributed among the following possibilities: (Four questions of 5 marks), or (two questions of 10 marks), or (one question of 5 marks and one question of 15 marks), or (two questions of 5 marks and one question of 10 marks). Thus, the total number of questions in MT or ET can be 11, 12, or 13.
Given that ET has more questions than MT, MT has either 11 or 12 questions. However, if MT has 12 questions and ET has 13 questions, or if MT has 11 questions and ET has 12 questions, this condition cannot be satisfied. Therefore, MT has 11 questions (five 5 marks, three 10 marks, and three 15 marks), and ET has 13 questions (eight 5 marks, three 10 marks, and two 15 marks).
This implies that each faculty has contributed four questions in total for MT and ET combined. Since Faculty A has provided only one question in MT, and all other faculties have contributed more than one question, faculties B, C, D, E, and F each have two questions in MT. Consequently, the distribution of questions in MT and ET can be inferred.
In MT, questions 2, 4, and 10 are given by F, C, and D, respectively. Faculty B provides questions 6, 7, and 9 consecutively. The pattern for MT is such that questions 1 to 5 carry 5 marks each, questions 6 to 8 carry 10 marks each, and questions 9 to 11 carry 15 marks each.
In ET, questions 2, 4, 6, 7, 9, 10, 11, and 12 are provided by D, C, A, A, E, B, B, and F, respectively. The distribution of marks in ET is such that questions 1 to 8 carry 8 marks each, questions 9 to 11 carry 10 marks each, and questions 12 and 13 carry 15 marks each.
Beti prepared 10thquestion in ET. Ans: (Tenth question)
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 - 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. - 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. - A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.
In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.
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