Logical Reasoning – The first year students in a business school
Slot – 2 – LR
The first year students in a business school – Video Solution
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.
Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.
Annie prepared one question for MT. Every other faculty member prepared more than one
question for MT.
All questions prepared by a faculty member appeared consecutively in MT as well as ET.
Chetan prepared the third question in both MT and ET; and Esha prepared the eighth
question in both.
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.1 The second question in ET was prepared by:
Chetan
Esha
Beti
Dave
Answer: 4
Q.2 How many 5‐mark questions were there in MT and ET combined?
13
10
12
Cannot be determined
Answer: 1
Q.3 Who prepared 15-mark questions for MT and ET?
Only Dave, Esha and Fakir
Only Beti, Dave, Esha and Fakir
Only Esha and Fakir
Only Dave and Fakir
Answer: 1
Q.4 Which of the following questions did Beti prepare in ET?
Tenth question
Ninth question
Fourth question
Seventh question
Answer: 1
Solution:
As both MT and ET has atleast 4 questions of 5 marks, atleast 3 ques of 10 marks, and 2 questions of 15 marks
Marks covered by these = 5×4 + 10×3 + 15×2 = 80
Marks left = 20
20 can be divided as (5,5,5,5) (5,5,10) (5,15) (10,10)
Order of question = 5 marks, 10 marks, 15 marks
Since it is given that 5th question is a 5 mark question case of 10,10 marks is rued out
As everyone prepared an equa number of questions the number has to be a factor of 6 greater than 18 and the only possible number here is 24.
Hence the only possible cases are (5,5,5,5) (5,15)Thus ET has 13 questions and MT has 11 questions