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Instructions: 
5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for the  person sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.
We are also given some additional facts-
1. Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
2.  The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
3. Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
4. The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
5. Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question and as option C for at least one question.
6. The person sitting in the middle marked the answer to Q2 as option C, which he did not copy
7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.
For all the responses combined for the four questions, which option was the least chosen one among the three?
  • a)
    Option C
  • b)
    Option A
  • c)
    Option B
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a qu...
Let us use J, K, L, M and N as codes for Jack, Kiara, Liam, Mike and Nico respectively.
Using statements 2, 4 and 6, we can have the following table to start with:
Statement 2 gives that the person sitting in second position copied his third answer from the person before him. Hence person sitting in the first position must answer B for question 3.
Statement 6 mentions that the person sitting in the middle did not copy his answer.Since he answered C for question 2. The person sitting in front must not have answered C for question 2. Hence the person in position 2 for question can answer either A/B.
Given J sits one place in front of L. Since L cannot sit at position 2 and 5 . J can sit only at 2,3. If J sits at 2 or 3 L must sit at 3 or 4.
Given in statement 4 M does not not sit position 5 nor answer option B for question 3. Hence he can only sit at either 3 or 4.
If J sits at 3 and L sits at 4 M does not have a place to sit. Hence J must sit at 2, L at 3 and M at 4.
Also, statement 3 says that J marked C twice and hence A and B were marked exactly once by him. Hence C must be answered for Q1 and Q4.
Statement 1 says that B was marked twice in question 1 hence it must be answered for by L and M because the person sitting at first and final position cannot answer B and person at position has already answered Q1 with C hence B must be answered for Q1 by persons L and M and since they are consecutively seated they must have copied. After placing as per the mentioned conditions the table looks like this :
Since the a set of persons must copy only one answer. The person sitting at position 1 cannot place C for Q1 because if he does that then there will be two copied answers between 1st and 2nd seated people. Hence he must answer A for question 1.
Note that in statement 3 it is mentioned that Nico marked the answer as option C only for Q1. Hence Nico is at position 5 and Kiara at position 1.
Also, exactly 2 persons marked B as answers to Q1. So,
Now, we have copied answers for pairs (3,4) and (1,2) and for questions 1 and 3.
So, pairs (2,3) and (4,5) must have copied answers for Q2 and Q4.
And since pair (2,3) did not copy answer for Q2, they must have done it for Q4. And the pair (4,5) must have copied for Q2.
Statement 4 tells that person sitting at the last position answers B for question 2. Since (4,5) copied Q2 person at position 4 must answer B for Q4
Now since, each of the 5 person must have at least one A, B and C each as the answers. We further deduce the following:
For M one of Q3 and Q4 must be answered with A and C. Since Q4 cannot be answered C by M as it would mean that he had copied this from L this is a false case. Hence he answers A for Q3 and C for Q4.
For L since we must have at least one answer to be A we must Q3 with A.
For K we must have at least 1 answer to be C and we cannot answer Q4 with C we must answer Q2 with C.
The remaining Q4 for K can be answered with A/B but not C because J has answered Q4 with C.
The last person can answer Q3 with A/B because A/B because C cannot be placed as M answered Q3 with C similarly for Q4 only B/C can be used.
Also, the last person marked B as the answer for Q2. So
Now, Nico only answered C for Q1. If he answers B for Q3 . He cannot answer A for any of the Questions hence he must answer Q3 with option A. Since he only answers one question with option C he must answer Q4 with B.
The final table looks like :

Option A was chosen 5/6 times.
Option B was chosen 8/7 times.
Option C was chosen 7 times.
So, even if Kiara marked A as the answer for Q4, A would still be the least chosen option.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a qu...
Explanation:

Given Information:
- Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
- The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
- Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
- The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
- Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question, and as option C for at least one question.
- The person sitting in the middle marked the answer to Q2 as option C, which he did not copy.
- The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.

Analysis:
From the given information, we can deduce that options A and B were more popular among the friends for marking their answers. Since Nico marked the answer as option C only for Q1, and Jack marked the answer as option C for exactly two questions, it is likely that option C was the least chosen among the three options.
Therefore, the least chosen option among the three was option C.

Conclusion:
Hence, the correct answer is option C) Option B, as option C was the least chosen among the three options based on the given information.
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Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. 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 Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. 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 Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Instructions:5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for theperson sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.We are also given some additional facts-1. Exactly two friends marked the answer as option B for Q1 andneither of the two were sitting at the first or the fifth position.2.The person sitting in the second position, who was not Liam,marked the answer as option B for Q3, which he copied.3.Jack, who was sitting immediately in front of Liam, marked theanswer as option C for exactly two questions, while Nico marked the answeras option C only for Q1.4.The person sitting in the last position, who was not Liam,marked the answer as option B for Q2 and Mike, who was not in the lastposition, did not mark the answer to Q3 as option B.5.Each of the four friends who copied the answer did so for adifferent question and each friend marked the answer as option A for atleast one question, as option B for at least one question and as option C forat least one question.6.The person sitting in the middle marked the answer to Q2 asoption C, which he did not copy7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.For all the responses combined for the four questions, which option was the least chosen one among the three?a)Option Cb)Option Ac)Option Bd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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