Study the following information carefully and answer the questions given below:
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?
Correct Answer :
H
Solution :
The correct answer is H.
Step-by-Step Explanation:
1. Understanding the basic conditions:
- There are 8 persons sitting in a single row.
- Exactly 4 persons face North and 4 persons face South.
- Let the 8 positions in the row be numbered 1 to 8 from left to right.
2. Analyzing B, A, and C:
- "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."
Since B faces North, the person sitting second to the right of B must be two positions to B's right.
If B were at an end (position 8), B could not have C to his right. So A must sit at an end.
Let's test position 1 for A:
- If A is at position 1: Three persons sit between A and B, so B is at position 5.
- B faces North. C sits second to the right of B, so C is at position 7.
- The positions occupied so far: A at 1, B at 5, C at 7.
3. Placing D, E, and G:
- "D and B face same direction but they do not sit adjacent to each other."
Since B faces North, D must also face North. D cannot sit adjacent to B (so D cannot be at position 4 or 6).
- "E sits third to the left of D and faces opposite direction to D."
Since D faces North, "third to the left of D" means E is 3 places to the left of D. Thus, D must be at position 6, 7, or 8.
- But C is at 7, B is at 5.
- If D is at position 8: E sits third to the left of D, placing E at position 5 (which is already occupied by B, so impossible).
- If D is at position 6: It is adjacent to B (at 5), which is forbidden.
- If D is at position 4: E would be at position 1 (occupied by A).
- If D is at position 3: E sits third to the left of D, which is out of bounds.
Therefore, A must be at position 8 and B at position 4!
4. Re-evaluating with A at position 8:
- A is at position 8.
- Three persons sit between A and B, so B is at position 4.
- B faces North.
- C sits second to the right of B, so C is at position 6.
- D faces North (same as B) and does not sit adjacent to B (so D cannot be at 3 or 5).
- E sits third to the left of D, meaning E is 3 places to the left of D (since D faces North).
- If D is at position 5: adjacent to B (invalid).
- If D is at position 7: E is at position 4 (occupied by B, invalid).
- If D is at position 8: occupied by A (invalid).
- If D is at position 4: occupied by B (invalid).
- If D is at position 3: E is at position 3-3 = 0 (invalid).
Wait, let's re-verify the direction for E:
If D faces North, "third to the left of D" is towards position 1.
What if D is at position 4? B is at 4.
What if D is at position 6? C is at 6.
What if D is at position 1? Then E cannot be 3 to the left.
What if D is at position 5? Adjacent to B.
Let's check if D faces South? But the statement says "D and B face same direction", and B faces North, so D MUST face North!
Let's carefully re-check A at position 1 vs position 8:
Wait! If A is at position 8 and B is at position 4:
- B faces North, so to the right of B is towards position 8.
- C sits second to the right of B => C is at position 6.
- D faces North, E sits third to the left of D => E = D - 3.
If D = 5: E = 2. D is adjacent to B (at 4), which violates "do not sit adjacent to each other".
Wait! What if B is at position 8 (at the end)?
"Three persons sit between A and B and one of them sits at the end of the row."
If B is at position 8, then A is at position 4.
- B faces North. C sits second to the right of B: but B is at position 8, so second to the right would be position 10 (out of bounds). So B CANNOT be at position 8.
Thus, A MUST be at an end!
What if B faces North and sits at position 1?
- Three persons sit between A and B => A is at position 5.
- Is one of them at the end? Yes, B is at position 1!
- C sits second to the right of B => C is at position 3.
- B faces North.
- D and B face same direction (North), but not adjacent to B (so D ≠ 2).
- E sits third to the left of D. Since D faces North, E = D - 3.
- If D = 7, E = 4.
- Now let's check: B=1, C=3, E=4, A=5, D=7.
- "G sits third to the right of C."
C is at 3. If C faces South, third to the right of C is position 3 - 3 = 0 (out of bounds).
So C must face North! Third to the right of C is position 3 + 3 = 6. So G is at position 6!
- Remaining positions for F and H: positions 2 and 8.
- "E sits third to the left of D and faces opposite direction to D."
D faces North, so E faces South.
- "Both the immediate neighbors of G face same direction."
G is at 6. Its immediate neighbors are A (at 5) and D (at 7).
Since D faces North, A must also face North!
- "H sits to the right of F."
Positions 2 and 8 are available for F and H.
- If F is at position 8 and faces South, right of F is towards position 1, so H can be at position 2.
Let's verify all positions:
Position 1: B (North)
Position 2: H
Position 3: C (North)
Position 4: E (South)
Position 5: A (North)
Position 6: G
Position 7: D (North)
Position 8: F (South)
5. Finding who sits just right of B:
- B is at position 1 and faces North.
- The position to the immediate right (just right) of B is position 2.
- Position 2 is occupied by H.
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