If all the persons sit in alphabetical order in clockwise direction starts from A then the position of how many persons remains unchanged (excluding A)? Study the following information carefully and answer the questions given below:
Eight persons- A, B, C, D, E, F, G and H sit around a rectangular table in such a way that four of them are sitting at the corners and facing the centre while four of them are sitting in the middle of the sides and facing away from the centre but not necessarily in the same order.
F sits at one of the corners of the table and sits second to the left of H. E sits to the immediate right of H. Only two persons sit between E and D. C sits third to the right of D. Only three persons sit between C and G. G sits adjacent to B. A doesn’t sit at the shorter side of the table.
Correct Answer :
One
Solution :
To solve this seating arrangement problem, let us trace the positions of the eight persons (A, B, C, D, E, F, G, and H) around the rectangular table step-by-step.
1. Understanding the Table Layout:
A rectangular table has 4 corners and 4 sides (2 longer sides and 2 shorter sides). Let us number the 8 seats from 1 to 8 in a clockwise direction:
- Seats 1, 3, 5, and 7 are at the corners (facing the centre).
- Seats 2, 4, 6, and 8 are in the middle of the sides (facing away from the centre).
Let us assign seats 2 and 6 to be the longer sides, and seats 4 and 8 to be the shorter sides.
2. Placing the Persons based on Clues:
- Clue 1: "F sits at one of the corners of the table and sits second to the left of H."
Let us place F at Seat 1 (a corner, facing the centre).
Since F is second to the left of H, and corners face the centre (where left is clockwise), H must be at Seat 7 (facing the centre, so second to its left is Seat 1).
- Clue 2: "E sits to the immediate right of H."
H is at Seat 7 and faces the centre, so its immediate right (counter-clockwise) is Seat 6. Thus, E is at Seat 6.
- Clue 3: "Only two persons sit between E and D."
Since E is at Seat 6, going counter-clockwise with two persons in between (Seats 5 and 4) places D at Seat 3.
- Clue 4: "C sits third to the right of D."
D is at Seat 3 (corner, facing the centre). Right is counter-clockwise, so counting three positions from Seat 3 (Seat 2, Seat 1, Seat 8) puts C at Seat 8.
- Clue 5: "Only three persons sit between C and G."
Since there are 8 seats, three persons sitting between C (Seat 8) and G means they sit opposite to each other. Therefore, G is at Seat 4.
- Clue 6: "G sits adjacent to B."
G is at Seat 4, so B must be at Seat 3 or Seat 5. Since D is already at Seat 3, B is at Seat 5.
- Clue 7: "A doesn’t sit at the shorter side of the table."
The only remaining seat is Seat 2, which is a longer side. Thus, A is at Seat 2.
3. Comparing Seating Arrangements:
Starting from A (Seat 2) and moving clockwise, the actual arrangement of the persons is:
A, D, G, B, E, H, C, F
If all the persons sit in alphabetical order in a clockwise direction starting from A, the arrangement becomes:
A, B, C, D, E, F, G, H
Let us compare the two sequences (excluding A):
- D is replaced by B (changed)
- G is replaced by C (changed)
- B is replaced by D (changed)
- E remains at E (unchanged)
- H is replaced by F (changed)
- C is replaced by G (changed)
- F is replaced by H (changed)
Therefore, the position of only One person (E) remains unchanged.
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