Question
Read the given instructions carefully and answer the question that follows. 8 people – A, B, C, D, E, F, G, H - are sitting at a round table facing each other. A is between E and G, whereas G is sitting second to the right of F. H is between D and B and is second to the left of F. A and B are sitting opposite each other. Who is sitting between E and H?
This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
D
Round Table Setup
There are 8 individuals (A, B, C, D, E, F, G, H) seated around a circular table, all facing inwards.
Deductive Steps for Arrangement
- Anchor Pair: A and B are opposite each other. Let's assign them positions 1 and 5 in a clockwise numbering from 1 to 8. (A=1, B=5).
- A's Neighbours: A is between E and G. Since A is at position 1, its neighbours are positions 8 and 2. Thus, {E, G} = {8, 2}.
- F's Relative Position (G): G is second to the right of F. If we assume clockwise direction, G is at position F+2.
- F's Relative Position (H): H is second to the left of F. This means H is at position F-2 (or F+6 mod 8).
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Combining F's Clues: The relative positions (F+2 = G) and (F-2 = H) imply that H and G are 4 positions apart (opposite each other). However, A and B are already opposite. This suggests a direct interpretation might be needed, or re-evaluation. Let's test possibilities based on {E, G} = {8, 2}.
- Scenario 1: If G=2 and E=8. For G (pos 2) to be second right of F, F must be at position 8 (8 -> 1 -> 2). But E is at 8. This scenario fails.
- Scenario 2: If G=8 and E=2. For G (pos 8) to be second right of F, F must be at position 6 (6 -> 7 -> 8). This works.
- Place H: H is second to the left of F. F is at position 6. Second left is position 4 (6 -> 5 -> 4). So, H=4.
- H's Neighbours: H is between D and B. We have H=4 and B=5. For H to be between D and B, the order must be D-H-B or B-H-D. Given H=4 and B=5, the only possibility is D=3, fitting the sequence D(3)-H(4)-B(5) clockwise.
- Final Person: The only remaining person is C, and the only empty seat is position 7. So, C=7.
Resulting Seating Arrangement
The final clockwise seating arrangement is: A(1), E(2), D(3), H(4), B(5), F(6), C(7), G(8).
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Person | A | E | D | H | B | F | C | G |
Identifying Person Between E and H
We need to find who is between E and H.
- E is located at position 2.
- H is located at position 4.
- The person sitting between positions 2 and 4 is at position 3.
- According to the deduced arrangement, D is at position 3.
Therefore, D is sitting between E and H.
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