Study the following information carefully and answer the given questions.
Eight persons - A, B, C, D, P, Q, R, and S are sitting around a circle table, but not necessarily in the same order. Four of them is facing inside the center and four of them is facing outside the center.
Both the immediate neighbors of A face away from the center. Q faces towards the center and sits to the immediate left of B. A and B face towards the center and sit opposite to each other. Three people sit between Q and R. C and B are the immediate neighbors of D who faces away from the center. C faces away from the center. S is not an immediate neighbor of A.
What is the position of B with respect to D?
Correct Answer :
Solution :
To find the position of B with respect to D, we can determine the step-by-step seating arrangement of the eight persons (A, B, C, D, P, Q, R, and S) around the circular table:
Step 1: Place A and B
According to the clues, A and B face towards the center and sit opposite to each other. Let us place A at position 1 (facing inside) and B at position 5 (facing inside) on an 8-position circular table numbered 1 to 8 in a clockwise direction.
Step 2: Place Q and R
- Q faces towards the center and sits to the immediate left of B. Since B is at position 5 and faces towards the center (inward), B's left is in the clockwise direction. Thus, Q sits at position 6 (facing inside).
- Three people sit between Q and R, which means R sits directly opposite Q. Since Q is at position 6, R must sit at position 2.
Step 3: Determine directions of A's neighbors
- Both the immediate neighbors of A face away from the center (outside). The immediate neighbors of A (at position 1) are at position 2 and position 8. Therefore, R (at position 2) and the person at position 8 face outside.
Step 4: Place D and C
- C and B are the immediate neighbors of D. Since B is at position 5, D must sit next to B. Since position 6 is occupied by Q, D must sit at position 4.
- Since D is at position 4, C (being D's other neighbor) must sit at position 3.
- We are given that D and C both face away from the center (outside).
Step 5: Place S and P
- S is not an immediate neighbor of A, so S cannot sit at position 8 (which is adjacent to A). Thus, S must sit at position 7.
- The remaining person, P, sits at position 8 (facing outside).
Step 6: Determine the position of B with respect to D
- D sits at position 4 and faces away from the center (outside).
- B sits at position 5, which is immediately adjacent to D in the clockwise direction.
- For a person at position 4 facing outside (away from the center), the clockwise direction corresponds to their left side. Therefore, B is sitting to the Immediate left of D.
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