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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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Badrinath College of Engineering (BCE) was established on 1st May 1993 on the 60th birth anniversary of Mr. Prakash Badrinath with 4, 5, 3 and 2 professors in Civil, Mechanical, Electrical and Information Technology department respectively. On 1st of June 1993 one more professor joined. On every 1st June of the subsequent years up to 1996 one professor is recruited for one of the departments with the salary of Rs. 15,000 per month. So, at the end of 4 years, 4 new professors were recruited across 4 departments. Professors who joined in May 1993 were placed in different pay scales based on their experience and qualifications, with the minimum of Rs. 15,000 per month and difference between any two pay scales is in multiples of Rs. 5,000. Each department has only one head of the department and he is paid more than the others. After completion of one year of service, each professor is given an annual increment of Rs. 3,000 effective from 1st June every year. During the period from 1st May 1993 to 31st May 1996 only one professor resigned across the four departments.The table given below shows the annual average monthly salary of the professors of BCE for each department as on 1st June every year.Electrical department has a tradition that none of the professor gets the same salary. Professor Kulkami and Professor Rathwa are in the electrical department of the college from its inception and none from them is the head of the department. What is the salary of the third professor who joined along with Prof. Kulkami and Prof. Rathwa, for the month of June 1996?

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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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