Read the given information carefully and answer the questions based on it:
Eight persons sit in a row. Four persons face north and rest face south. Three persons sit between A and B and one of them sits at the end of the row. C sits second to the right of B who faces north. D and B face same direction but they do not sit adjacent to each other. E sits third to the left of D and faces opposite direction to D. G sits third to the right of C. Both the immediate neighbors of G face same direction. H sits to the right of F.
Which of the following pair is dissimilar to other four pairs?
Correct Answer :
G-C
Solution :
Let us solve the puzzle step-by-step to find the arrangement of the eight persons in the row (numbered 1 to 8 from left to right):
Step 1: Determine the positions of A, B, and C
- Three persons sit between A and B, and one of them sits at the end of the row.
- B faces North. C sits second to the right of B. Since B faces North, C must be to the immediate right of B's neighbor (i.e., position of B + 2).
- If B is at the left end (Position 1):
- C is at Position 3.
- Since three persons sit between A and B, A must be at Position 5.
- This is a valid setup: 1: B (North), 2: _, 3: C, 4: _, 5: A, 6: _, 7: _, 8: _.
Step 2: Determine the positions of D and E
- D and B face the same direction (North) but they do not sit adjacent to each other.
- E sits third to the left of D and faces the opposite direction to D (South).
- Since D faces North, "third to the left" means Position of E = Position of D - 3.
- Testing the positions for D (which must face North and cannot be adjacent to B at 1, so D ≠ 2):
- If D is at Position 7, then E is at Position 4 (7 - 3 = 4). This fits perfectly since Position 4 is vacant. Thus, E faces South and D faces North.
Step 3: Determine the positions of G, A, and C's direction
- G sits third to the right of C.
- If C faces North, G would be at Position 6 (3 + 3 = 6).
- If C faces South, G would be at Position 0 (invalid).
- Thus, C faces North, and G is at Position 6.
- Both immediate neighbors of G (A at 5 and D at 7) face the same direction. Since D faces North, A must also face North.
Step 4: Determine the positions and directions of F and H
- We are left with Positions 2 and 8, and the persons F and H.
- Four persons face North and the remaining four face South. Currently, we have 4 North-facing persons: B (1), C (3), A (5), and D (7). Therefore, the remaining persons must face South: E (4), G (6), F, and H.
- "H sits to the right of F." Since F faces South, F's right hand points to the left of the row (towards Position 1). Thus, H must be placed at Position 2 and F at Position 8.
- This gives the final arrangement from left to right (1 to 8):
Step 5: Identify the dissimilar pair
Let us analyze the relationship between the persons in each option:
- C-E: C (Position 3) and E (Position 4) are adjacent to each other, with the first person immediately to the left of the second.
- A-G: A (Position 5) and G (Position 6) are adjacent to each other, with the first person immediately to the left of the second.
- D-F: D (Position 7) and F (Position 8) are adjacent to each other, with the first person immediately to the left of the second.
- B-H: B (Position 1) and H (Position 2) are adjacent to each other, with the first person immediately to the left of the second.
- G-C: G (Position 6) and C (Position 3) are not adjacent to each other.
Therefore, the pair G-C is dissimilar to the other four pairs.
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