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Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table. Four of them are female and four are male. While sitting, they followed two rules. The rules are as follows.
Rule 1: No two people of the same profession will sit next to each other.
Rule 2: No two people of the same gender will sit next to each other.
The following facts about their seating arrangement are known: There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.
There is a male doctor who sits third to the right of another doctor who is a female.
 
Q. Given that a professor sits at equal distance from the two engineers, which set of people with same profession sit right opposite each other?
  • a)
    Lawyers
  • b)
    Professors
  • c)
    Engineers
  • d)
    Doctors
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two doctors, two engineers, two lawyers and two professors are to be s...
Given that professor sits at equal distance from the two engineers, the arrangement will be:
We can see that the engineers sit right opposite to each other. Hence, option 3.
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Most Upvoted Answer
Two doctors, two engineers, two lawyers and two professors are to be s...
Solution:

Given information:

- Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table.
- Four of them are female and four are male.
- Rule 1: No two people of the same profession will sit next to each other.
- Rule 2: No two people of the same gender will sit next to each other.
- There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.
- There is a male doctor who sits third to the right of another doctor who is a female.
- A professor sits at equal distance from the two engineers.

We need to determine the set of people with the same profession who sit right opposite to each other.

Let us first identify the positions of the eight people around the table.

From the first rule, we can infer that the positions of the people around the table alternate by profession and gender. So, the positions of the people around the table can be represented as follows:

F - Female
M - Male
D - Doctor
E - Engineer
L - Lawyer
P - Professor

F-D-F-E-F-L-M-P-M-E-M-L-P-D-M-F-E-F

From the second rule, we can infer that the positions of people of the same gender are separated by people of the opposite gender. So, the positions of the people around the table can be rearranged as follows:

M-E-F-L-F-D-M-P-D-F-E-M-L-P-E-F

Using the given information, we can fill in some of the positions around the table as follows:

M-E-F-L-F-D-M-P-D-F-E-M-L-P-E-F
| | | | | | | | | | | | | | | |
P D E L M D E

From the given information, we know that a professor sits at equal distance from the two engineers. This means that the two engineers must sit next to each other, and there must be a female engineer between them. So, the positions of the people around the table can be rearranged as follows:

M-E-F-L-F-D-M-P-D-F-E-M-L-P-E-F
| | | | | | | | | | | | | | | |
P D E F L M D E

From the given information, we also know that there is a male doctor who sits third to the right of another doctor who is a female. This means that the two doctors must sit next to each other, and there must be a male doctor three positions to the right of the female doctor. So, the positions of the people around the table can be rearranged as follows:

M-E-F-L-F-D-M-P-D-F-E-M-L-P-E-F
| | | | | | | | | | | | | | | |
P D M F E L M D E

From the given information, we know that there is a male professor who sits between a doctor and an engineer and right opposite to a lawyer. This means that the professor must sit between the male doctor and the male engineer, and there must be a female lawyer opposite to him. So, the positions of the people around the table can be rearranged as follows:

M-E-F-L-F-D-M-P-D-F-E-M-L-P-E-F
| | | | | | | | | | | | | | |
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Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table. Four of them are female and four are male. While sitting, they followed two rules. The rules are as follows.Rule 1: No two people of the same profession will sit next to each other.Rule 2: No two people of the same gender will sit next to each other.The following facts about their seating arrangement are known: There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.There is a male doctor who sits third to the right of another doctor who is a female.Q. Given that a professor sits at equal distance from the two engineers, which set of people with same profession sit right opposite each other?a)Lawyersb)Professorsc)Engineersd)DoctorsCorrect answer is option 'C'. Can you explain this answer?
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Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table. Four of them are female and four are male. While sitting, they followed two rules. The rules are as follows.Rule 1: No two people of the same profession will sit next to each other.Rule 2: No two people of the same gender will sit next to each other.The following facts about their seating arrangement are known: There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.There is a male doctor who sits third to the right of another doctor who is a female.Q. Given that a professor sits at equal distance from the two engineers, which set of people with same profession sit right opposite each other?a)Lawyersb)Professorsc)Engineersd)DoctorsCorrect 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 Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table. Four of them are female and four are male. While sitting, they followed two rules. The rules are as follows.Rule 1: No two people of the same profession will sit next to each other.Rule 2: No two people of the same gender will sit next to each other.The following facts about their seating arrangement are known: There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.There is a male doctor who sits third to the right of another doctor who is a female.Q. Given that a professor sits at equal distance from the two engineers, which set of people with same profession sit right opposite each other?a)Lawyersb)Professorsc)Engineersd)DoctorsCorrect 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 Two doctors, two engineers, two lawyers and two professors are to be seated around a circular table. Four of them are female and four are male. While sitting, they followed two rules. The rules are as follows.Rule 1: No two people of the same profession will sit next to each other.Rule 2: No two people of the same gender will sit next to each other.The following facts about their seating arrangement are known: There is a male professor who sits between a doctor and an engineer and right opposite to a lawyer.There is a male doctor who sits third to the right of another doctor who is a female.Q. Given that a professor sits at equal distance from the two engineers, which set of people with same profession sit right opposite each other?a)Lawyersb)Professorsc)Engineersd)DoctorsCorrect answer is option 'C'. Can you explain this answer?.
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