There are three doctors,three engineers,and two teachers among eight friends a to h who are sitting
in a row. some of them are facing north while the other are
facing south. it is also known that:
1. all the people of same profession are neither sitting
together nor facing the same direction.
ii. there are at least four people between a and f. a
and f belong to the same profession.
iii. neither d nor e is an engineer.
iv. there is a doctor to the immediate right of every
teacher while there is a teacher to the immediate left
of every doctor.
y. b, the doctor is sitting in one of the ends is sitting
second to the left a other doctor who is facing north.
w. neither a teacher nor a doctor is to the left of one of
the engineers.
vii. c is to the immediate right of d while c, e and hare
facing the same direction.
Answers
The seating arrangement is D _ _ _ _ _ _ B, where D represents a doctor facing south and B represents a doctor facing north. The other friends are engineers (A, F, G, H) and teachers (C, E) arranged in between.
Explanation:
- To solve this seating arrangement puzzle, let's analyze the given information and constraints:
1. There are three doctors, three engineers, and two teachers among the eight friends.
2. All people of the same profession are not sitting together or facing the same direction.
3. There are at least four people between A and F, who belong to the same profession.
4. D and E are not engineers.
5. There is a doctor to the immediate right of every teacher, and a teacher to the immediate left of every doctor.
6. B, the doctor, is sitting in one of the ends and is second to the left of the other doctor who faces north.
7. Neither a teacher nor a doctor is to the left of an engineer.
8. C is to the immediate right of D, and C, E, and H face the same direction.
- Based on these clues, we can deduce the following:
1. Since there are three doctors and three engineers, and neither D nor E is an engineer, it means that A, F, G, and H must be the engineers.
2. From clue 4, since there is a doctor to the immediate right of every teacher, and B is a doctor, it means that the teachers must be seated to the left of B. So, C and E are teachers.
3. Since C, E, and H face the same direction (clue 8), and H is an engineer (clue 1), it means that A, F, and G face the opposite direction.
4. According to clue 2, A and F belong to the same profession and there are at least four people between them. Since A is a doctor and B is second to the left of the other doctor, it means that F must be a teacher and there are three engineers between A and F.
5. Since A is a doctor, B is a doctor seated at one end facing north, and C and E are teachers, it means that D must be the remaining doctor.
6. Since C is to the immediate right of D (clue 7), it means that D must be seated at the left end facing south. So, the seating arrangement is as follows:
D _ _ _ _ _ _ B
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
In conclusion, the seating arrangement is D _ _ _ _ _ _ B, where D represents a doctor facing south and B represents a doctor facing north. The other friends are engineers (A, F, G, H) and teachers (C, E) arranged in between.
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