Question Details

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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.

Who among the following sits just right of B?

Options

A

H

B

E

C

D

D

F

Show Answer

Correct Answer :

Option A

H

H

Solution :

To find out who sits just to the right of B, we can break down the puzzle step-by-step based on the given rules:

1. Total Persons and Directions: There are 8 persons sitting in a row. 4 face North and 4 face South.
Let us represent the 8 positions in the row from 1 to 8 (from left to right).

2. Positions of A and B: There are 3 persons sitting between A and B, and one of them sits at the extreme end of the row.
This means the distance between A and B is 4 units (i.e., if B is at index 1, A is at index 5).
Since one of them sits at the end of the row, we have two primary cases:
Case I: B is at one of the ends (say, position 1 or 8). Since B faces North and C sits second to the right of B, B cannot be at position 8 (as there would be no position to his right). Thus, if B is at the end, B must be at position 1. Then, C (second to the right of B) sits at position 3, and A sits at position 5 (with 3 persons between A and B: positions 2, 3, and 4).
Case II: A is at one of the ends (position 1 or 8). If A is at position 8, then B is at position 4. Since C is second to the right of B (who faces North), C is at position 6. If A is at position 1, B is at position 5, and C is at position 7.

3. Analyze G's position: G sits third to the right of C. Let's check our configurations:
- If B = 1, C = 3, then G (third to the right/left of C depending on C's direction): Since G must be within the 8 positions, if C faces North, third to the right of C is position 6. So G = 6. If C faces South, third to the right of C is to the left, which would be 0 (invalid). So C must face North and G = 6.
- If B = 4, C = 6, then if C faces South, third to the right of C is 6 - 3 = 3. So G = 3. (If C faces North, third to the right would be 9, invalid).
- If B = 5, C = 7, then if C faces South, third to the right of C is 7 - 3 = 4. So G = 4.

4. Analyze E and D: E sits third to the left of D. D and B face the same direction (North), but they do not sit adjacent to each other. Since D faces North, "third to the left of D" means E is 3 positions to the left of D (i.e., E = D - 3). D cannot be adjacent to B.
Let's test Case I: B = 1 (North), C = 3 (North), A = 5, G = 6.
Remaining positions for D: since D cannot be adjacent to B (D ≠ 2) and B=1, C=3, A=5, G=6 are occupied, D can be at 4, 7, or 8.
If D = 7 (North), then E (third to the left of D) = 4. This works! Let's check the remaining positions: 2, 8 are left for F and H.
If D = 7, E = 4. E faces the opposite direction to D, so E faces South.
We have G at 6. Both immediate neighbors of G (which are A at 5 and D at 7) face the same direction. Since D faces North, A must also face North.
Now we have directions: B (North), C (North), A (North), D (North). That is 4 persons facing North. The remaining 4 must face South. So E, G, F, and H must face South.
We are told: "H sits to the right of F."
The remaining positions are 2 and 8. Since both F and H face South, "H sits to the right of F" means H is to the left of F in the row (since facing South reverses left/right relative to the row).
Thus, H must be at position 2 and F must be at position 8.
Let's verify this 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).
All conditions are perfectly satisfied:
- Four face North (B, C, A, D) and four face South (H, E, G, F).
- Three persons (H, C, E) sit between A (5) and B (1), and B is at the end.
- C (3) sits second to the right of B (1) who faces North.
- D (7) and B (1) face the same direction (North) and are not adjacent.
- E (4) sits third to the left of D (7) and faces South (opposite to D).
- G (6) sits third to the right of C (3) (C faces North).
- Both neighbors of G (A at 5 and D at 7) face North (same direction).
- H (2) sits to the right of F (8) (since F faces South, right of F is towards position 1, and H is at 2).

5. Conclusion: The person sitting just to the right of B (who is at position 1 facing North) is at position 2, which is H.

Therefore, the person who sits just right of B is H.

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