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.
What is the position of F with respect to E?
Correct Answer :
Fourth to the left
Solution :
Correct Answer: Fourth to the left
Let us solve this step-by-step to determine the complete arrangement of the eight persons (let's number the positions 1 to 8 from left to right):
Step 1: Determine the positions of B, A, and C
We are given that three persons sit between A and B, and one of them sits at the end of the row.
Also, C sits second to the right of B who faces north.
If B sits at the right end (position 8), second to the right of B (facing north) would be out of the row. Thus, B must sit at the left end (position 1) and face North.
Since three persons sit between A and B, A must sit at position 5.
C sits second to the right of B, which means C is at position 3.
Step 2: Find the position of G
G sits third to the right of C. Since C must face either north or south, let's analyze:
If C faces south, third to the right of C would be to the left, which is not possible as C is at position 3. Thus, C must face North, and G sits at position 6 (3 + 3 = 6).
Step 3: Find the positions of D and E
We are told that D and B face the same direction (North), but they do not sit adjacent to each other. So, D faces North and cannot be at position 2.
E sits third to the left of D and faces the opposite direction of D (South).
Let's find a position for D among the remaining vacant positions (2, 4, 7, 8):
- If D is at 4: E would be at position 1, which is already occupied by B.
- If D is at 8: E would be at position 5, which is already occupied by A.
- Therefore, D must sit at position 7, which places E at position 4 (7 - 3 = 4). Since D faces North, E faces South.
Step 4: Find the positions and directions of the remaining persons
The remaining positions to be filled are 2 and 8, and the remaining persons are F and H.
Both the immediate neighbors of G (who are at position 5, A, and position 7, D) face the same direction. Since D faces North, A must also face North.
So far, the north-facing persons are B, C, A, and D (which is exactly four persons). Since four persons face south, the remaining four persons (E, G, F, and H) must face South.
We are given that H sits to the right of F. Since F faces South, the right side of F is to his left (towards position 1).
To satisfy this, F must sit at position 8 and H must sit at position 2 (as H is to the left of F, which is to the right of F when facing south).
Final Arrangement:
1. B (North)
2. H (South)
3. C (North)
4. E (South)
5. A (North)
6. G (South)
7. D (North)
8. F (South)
Position of F with respect to E:
E is at position 4 and faces South. Since E faces South, his left side is towards position 8.
Counting to the left of E:
- 1st to the left: A (5)
- 2nd to the left: G (6)
- 3rd to the left: D (7)
- 4th to the left: F (8)
Therefore, F is fourth to the left of E.
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