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
To determine who prepared the second question in the End Term (ET), we need to analyze the information given.
The comprehension provides clues about the sequence and assignment of questions prepared by each faculty member:
| Question No. | Prepared By (MT) | Prepared By (ET) |
|---|---|---|
| 1 | Fakir | Dave |
| 2 | To Be Determined | |
| 3 | Chetan | Chetan |
| 4 | To Be Determined | |
| 5 | Annie | Annie |
| 6 | To Be Determined | |
| 7 | To Be Determined | |
| 8 | Esha | Esha |
| ... | ... | ... |
| Last | Dave | Fakir |
From the above table and given points:
- Fakir prepared the first question of MT and the last question of ET.
- Dave prepared the last question of MT and the first question of ET.
- Annie prepared the fifth question in both MT and ET.
- Chetan prepared the third question in both MT and ET.
- Esha prepared the eighth question in both MT and ET.
From point iii, each faculty member's questions are consecutive in both MT and ET:
- Dave starts ET with the first question, so his continuous set of questions will include the second question.
- Resultantly, Dave is the one who prepared the second question in ET.
Therefore, the second question in ET was prepared by: 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
Given that the faculty members collectively prepared questions for both the Midterm (MT) and Endterm (ET), with each member preparing the same number of questions, we need to determine the total number of 5-mark questions in both MT and ET.
The key information provided is:
- Both MT and ET are worth 100 marks.
- ET has more questions than MT.
- MT has at least 4 questions worth 5 marks, at least 3 questions worth 10 marks, and at least 2 questions worth 15 marks.
- Each faculty member prepared questions that appear consecutively in both exams.
- Annie prepared the 5-mark fifth question for MT only, implying a minimum of 5 questions in MT to accommodate this sequence.
- Chetan prepared the third question in both MT and ET, and Esha prepared the eighth question in both.
Conclusively, given that:
- Minimum number of questions in MT is 9 based on the constraints.
- Annie prepared one question for MT.
- All faculty members (6) prepared and distributed questions equally across MT and ET.
- The remaining faculty members must have prepared more than one question each leading to an addition of 8 more questions distributed equitably.
Thus, the total number of 5-mark questions required to reach the allocated mark distribution combined for MT and ET:
5-mark questions → 6 (MT) + 7 (ET) = 13, from consecutive arrangement possibilities deduced and total marks breakdown fitting the sequence.
Therefore, the total number of 5-mark questions in MT and ET combined is 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
The problem involves figuring out the faculty members who prepared the 15-mark questions for MT and ET, given a series of constraints about how the questions were prepared for these tests. We'll analyze these constraints step-by-step to identify the correct faculty.
Constraints and analysis:
- Annie prepared the fifth question for both MT and ET, and it was a 5-mark question in MT. Annie prepared only one question for MT.
- All questions prepared by a faculty member appear consecutively in both MT and ET. This means Annie prepared her question, and it didn't affect the sequence of others manually working on consecutive questions.
- Chetan prepared the third question for both MT and ET.
- From the given data, Esha prepared the eighth question for both MT and ET.
- Fakir prepared the first question in MT and the last in ET, while Dave prepared the last question in MT and the first in ET.
Given that both MT and ET have at least two questions worth 15 marks:
- Knowing that Fakir and Dave prepared the first and last question respectively in MT and ET, their contribution points towards Esha.
- Since faculty prepare more than one consecutive question, it makes sense that after Esha's eighth question, another question of 15 marks followed, assigned to either Dave and Fakir collaboratively or individually.
Therefore, considering the setup:
- Only Dave, Esha, and Fakir fit all the constraints and are left to cover these 15-mark questions given the restriction and their placements at critical junctions (first, last, mid in ET).
The answer is: 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
To determine which questions Beti prepared in the ET, we need to analyze the provided information.
1. Both MT and ET were collectively prepared by the faculty members: Annie, Beti, Chetan, Dave, Esha, and Fakir.
2. Each member prepared the same number of questions across MT and ET together.
3. Fakir prepared the first question of MT and the last question in ET.
4. Dave prepared the last question in MT and the first question in ET.
5. Annie prepared the fifth question in both MT and ET and only one question for MT.
6. Chetan prepared the third question in both MT and ET.
7. Esha prepared the eighth question in both MT and ET.
8. All questions prepared by a faculty member appear consecutively in both MT and ET.
We need to find Beti's placement. Since Fakir ends ET, and since there are six members, Beti must prepare ten questions in ET. Placing consecutive slots based on information:
Fakir: Nth question (ET)
Dave: 1st question (ET)
Chetan: 3rd question (ET)
Annie: 5th question (ET)
Esha: 8th question (ET)
Thus,
| Position | Faculty |
|---|---|
| 10th | Beti |
Beti prepared the tenth question, so the correct answer is that Beti prepared the "Tenth question" in ET.
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
- A value of $c$ for which the minimum value of $f(x) = x^2 - 4cx + 8c$ is greater than the maximum value of $g(x) = -x^2 + 3cx - 2c$, is:
- CAT - 2025
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- In a $\triangle ABC$, points $D$ and $E$ are on the sides $BC$ and $AC$, respectively. $BE$ and $AD$ intersect at point $T$ such that $AD : AT = 4 : 3$, and $BE : BT = 5 : 4$. Point $F$ lies on $AC$ such that $DF$ is parallel to $BE$. Then, $BD : CD$ is:
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- Geometry
- In the sequence 1, 3, 5, 7, ..., k, ..., 57, the sum of the numbers up to k, excluding k, is equal to the sum of the numbers from k up to 57, also excluding k. What is k?
- CAT - 2025
- Arithmetic Progression
- Find the number of integer pairs (x, y) that satisfy the following system of inequalities:
\[ \begin{cases} x \geq y \geq 3 \\ x + y \leq 14 \end{cases} \]
- CAT - 2025
- Linear & Quadratic Equations
- The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was
- CAT - 2025
- Profit and Loss