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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 end term (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.
Q. How many 5 mark questions were there in MT and ET combined?
  • a)
    13
  • b)
    12
  • c)
    10
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The first year students in a business school are split into six secti...
All six sections had a common midterm (MT) and a common end term (ET) worth 100 marks each.
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. 
5x4=20, 10x3=30, 15x2=30 
The total possible with considering the minimum number of questions of each type = 20+30+30=80 marks.
Rest 20 marks are possible by the following cases: {5,5,5,5} {5,5,10} {10,10} {5,15}
ET contained more questions than MT.
Thus MT cannot consider the case {5,5,5,5} 
The number of questions in each case: 
1) {5,5,5,5} = 9+4 =13 questions 
2) {5,5,10} = 9+3 =12 questions 
3) {10,10} = 9+2 =11 questions 
4) {5,15} = 9+2 =11 questions 
Considering MT and ET together, each faculty member prepared the same number of questions. The total number of questions should be multiple of 6, thus the total number of questions will be 24.
For ET and MT, there are 2 cases : {5,5,5,5}{5,15}
{5,5,5,5}{10,10}
According to the statement (i), Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks. Thus {10,10} case is not possible.
MT {5,5,5,5,5,10,10,10,15,15,15}
ET {5,5,5,5,5,5,5,5,10,10,10,15,15}
From statement (i),(ii),(iv),(v), every other faculty member prepared two questions for MT. we can create the following table:
{ Annie(A), Beti(B), Chetan(C), Dave (D), Fakir(F) }
There are 24 questions in total so each faculty will make 4 questions.
We can create the following table for ET.
Hence the correct option is A
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Most Upvoted Answer
The first year students in a business school are split into six secti...
Understanding the Question Structure
- The midterm (MT) and end term (ET) exams are both worth 100 marks each.
- Each exam has specific requirements for question types:
- At least 4 questions worth 5 marks
- At least 3 questions worth 10 marks
- At least 2 questions worth 15 marks
- All 5-mark questions precede 10-mark questions, which in turn precede 15-mark questions.
Information from Faculty Members
- Annie prepared the fifth question of both exams, which is a 5-mark question.
- Annie prepared only one question for MT, while all others prepared more.
- Chetan prepared the third question, Esha the eighth question.
- Fakir's first question in MT and Dave’s last question in MT are pivotal in understanding the sequence.
Distribution of Questions
- Since each faculty member prepared questions consecutively, the arrangement of questions suggests:
- Annie’s question (5 marks) is the fifth in both exams.
- Chetan’s question (3rd) and Esha’s question (8th) help contextualize the sequence.
Calculating 5-Mark Questions
- We know there are at least 4 questions worth 5 marks. With Annie's question included, we have at least 4 (Annie + 3 more) for both MT and ET.
- Given the symmetry in preparation and the collective effort of all faculty members, it is reasonable to deduce that each likely prepared a set of questions with similar distributions.
Conclusion
- Therefore, if each member contributes to the minimum required and Annie’s contribution counts, it is plausible to conclude that there are a total of 13 questions worth 5 marks across both MT and ET combined.
Thus, the correct answer is option 'A' - 13.
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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 end term (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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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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 end term (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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 end term (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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 end term (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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
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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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 end term (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.Q. How many 5 mark questions were there in MT and ET combined?a) 13b) 12c) 10d) Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 end term (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. 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