Comprehension
The first year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15- mark questions followed the 10-mark questions.
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.
Question: 1

The second question in ET was prepared by:

Updated On: Jul 28, 2025
  • Dave
  • Beti
  • Chetan
  • Esha 

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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)
1Fakir Dave
2To Be Determined
3ChetanChetan
4To Be Determined
5AnnieAnnie
6To Be Determined
7To Be Determined
8EshaEsha
.........
LastDaveFakir

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.

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Question: 2

How many 5- mark questions were there in MT and ET combined?

Updated On: Jul 28, 2025
  • 12
  • 10
  • 13
  • Cannot be determined 

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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.

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Question: 3

Who prepared 15-mark questions for MT and ET?

Updated On: Jul 28, 2025
  • Only Dave and Fakir
  • Only Beti, Dave, Esha and Fakir
  • Only Esha and Fakir
  • Only Dave, Esha and Fakir
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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: 

  1. 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.
  2. 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.
  3. Chetan prepared the third question for both MT and ET.
  4. From the given data, Esha prepared the eighth question for both MT and ET.
  5. 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.

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Question: 4

Which of the following questions did Beti prepare in ET?

Updated On: Jul 28, 2025
  • Seventh question 

  • Fourth question
  • Ninth question 

  • Tenth question
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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,

PositionFaculty
10thBeti

Beti prepared the tenth question, so the correct answer is that Beti prepared the "Tenth question" in ET.

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