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Directions for Questions: 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. Chelan 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.
(2019)
Q. How many 5-mark questions were there in MT and ET combined?
  • a)
    12
  • b)
    Cannot be determined
  • c)
    13
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions for Questions: The first-year students in a business school...
From given data,
Let number of questions worth 5 marks, 10 marks and 15 marks was x, y and z respectively, then, 4 ≤ x, 3 ≤ y and 2 ≤ z
Case-1: Total possible combination that gives 100  marks Minimum total marks that are from 10 marks question = 3 × 10 = 30 marks
Minimum total marks that are from 15 marks questions = 2 × 15 = 30 marks
Maximum total marks that are from 5 marks questions = 5 × 8 = 40 marks
∴ 4 ≤ x ≤ 8
Case-II : When x and z are minimum
Minimum number of 5 marks questions = 4 Total marks = 5 × 4 = 20 marks
Minimum number of 15 marks questions = 2
total marks = 2 × 15 = 30
Maximum number of 10 marks questions

So, 3 ≤ y ≤ 5.
Case-III : When x and y are minimum
Minimum number of 5 marks questions = 4
total marks = 5 × 4 = 20 marks
Minimum number of 10 marks questions = 3
total marks = 3 × 10 = 30 marks.
Maximum number of 15 marks questions

∴ 2 ≤ z ≤ 3
Now, tabulating the values, we have 

Again from question, number of questions in ET is more than MT. So, ET has maximum 5 marks questions than MT
For ET : x = 8, y = 3 and z = 2
⇒ Total marks = 8 × 5 + 3 × 10 + 2 × 15 = 100
Total number of questions = 8 + 3 + 2 = 13
For MT (i) x = 5, y = 3 and z = 3
⇒ Total marks = 5 × 5 + 3 × 10 + 3 × 15 = 100
Total number of questions = 5 + 3 + 3 = 11
(ii) x = 4, y = 5 and z = 2
Total marks = 4 × 5 + 5 × 10 + 2 × 15 = 100
total number of questions = 4 + 5 + 2 = 11
Now, considering MT and ET together, each faculty member prepared the same number of questions total number of questions = 13 + 11 = 24
So, number of questions prepared by each faculty = 24/6 = 4 questions
Here, Annie prepared only one question for MT, So, rest 10 questions of MT is prepared by other 5 faculty such that 2 questions are prepared by each. 
Again, each faculty, prepare 4 questions.
So, each faculty except Annie prepared 2 questions for ET and Annie prepared three questions for ET.
Here each members prepared, questions continuously. Based on that, we get the following table:
Order of questions prepared by the faculty



As Annie prepared 5th question of 5 marks for MT then, number of 5 marks questions for MT = 5
and, number of 5 marks question for ET = 8
Total number of 5 marks questions = 5 + 8 = 13
View all questions of this test
Most Upvoted Answer
Directions for Questions: The first-year students in a business school...
Analysis:
The given information provides details about the number and type of questions prepared by each faculty member for the Business Statistics course midterm (MT) and end term (ET) exams. Let's break down the information to determine the number of 5-mark questions in MT and ET combined.

Key Points:
- Annie prepared the fifth question for both MT and ET, with the MT question worth 5 marks.
- Chetan prepared the third question in both MT and ET.
- Esha prepared the eighth question in both MT and ET.
- Fakir prepared the first question in MT and the last question in ET.
- Dave prepared the last question in MT and the first question in ET.
- Each faculty member prepared an equal number of questions collectively for MT and ET.
- Each MT and ET had at least four 5-mark questions, three 10-mark questions, and two 15-mark questions.

Solution:
- Annie prepared the fifth question in both MT and ET, with the fifth question in MT worth 5 marks. This accounts for 1 five-mark question in both MT and ET.
- Since all faculty members collectively prepared an equal number of questions for MT and ET, the number of 5-mark questions would be the same as the fifth question in this scenario.
- Therefore, the total number of 5-mark questions in MT and ET combined would be 1 (from Annie's fifth question).

Conclusion:
Hence, based on the given information and analysis, there were 13 five-mark questions in MT and ET combined.
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Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. 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 Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for Questions: 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. Chelan 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.(2019)Q. How many 5-mark questions were there in MT and ET combined?a)12b)Cannot be determinedc)13d)10Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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