Directions (70-74): 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 square table in such a way that four persons sit on each of the four corner of the table and other four persons sit on the middle of side. The one who sits at the corner of table faces inside and the one who sits at the middle side of table faces outwards the centre of table. Persons sitting on opposite sides are exactly opposite to each other.
B sits immediate left of A. Three persons sit between B and C. One person sits between H and C. F sits just left of H but not face outside. E sits 2nd to the left of G. D sits near G.
Which of the following statement is true?
I. G faces Inside
II. C sits near E
III. D sits immediate left of G
Correct Answer :
All I, II and III
Solution :
To determine which statements are true, let us reconstruct the seating arrangement step-by-step based on the given clues.
1. Understanding the Table Layout:
- There are 8 seats around a square table: 4 at the corners and 4 in the middle of the sides.
- Corner seats face inside the centre.
- Middle side seats face outside (away from the centre).
- Clockwise and counter-clockwise directions depend on which way a person faces:
- For a person facing inside: Left is clockwise, and Right is counter-clockwise.
- For a person facing outside: Left is counter-clockwise, and Right is clockwise.
2. Seating the Persons:
- Let us assume A sits at one of the corners (facing inside). Let this corner be Position 1.
- B sits immediate left of A. Since A faces inside, the immediate left (clockwise) is Position 8 (a middle side, facing outside).
- Three persons sit between B and C. In an 8-person arrangement, this means B and C sit exactly opposite to each other. Since B is at Position 8, C must be at Position 4 (a middle side, facing outside).
- One person sits between H and C. This means H can sit at either Position 2 or Position 6. Let us analyze both possibilities:
- Case A: If H sits at Position 2 (middle side, facing outside).
- F sits just left of H. Since H faces outside, H's left is counter-clockwise, which is Position 3 (corner, facing inside).
- This satisfies the condition "F does not face outside" since Position 3 is a corner.
- Case B: If H sits at Position 6 (middle side, facing outside).
- F sits just left of H (counter-clockwise), which is Position 7 (corner, facing inside). This also satisfies the condition.
Let us proceed with Case A first where H is at Position 2 and F is at Position 3.
- Now, we have E sits 2nd to the left of G and D sits near G.
- The remaining vacant seats are Position 5 (corner, facing inside), Position 6 (middle side, facing outside), and Position 7 (corner, facing inside).
- If G is placed at Position 7 (corner, facing inside):
- G's left is clockwise. The seat 2nd to the left of G is Position 5.
- Therefore, E sits at Position 5.
- The only remaining seat for D is Position 6.
- Let's check the condition "D sits near G": D is at Position 6 and G is at Position 7, which are adjacent, so this condition is satisfied.
3. Final Seating Arrangement (Clockwise from Position 1 to 8):
- Position 1 (Corner, Inside): A
- Position 2 (Middle, Outside): H
- Position 3 (Corner, Inside): F
- Position 4 (Middle, Outside): C
- Position 5 (Corner, Inside): E
- Position 6 (Middle, Outside): D
- Position 7 (Corner, Inside): G
- Position 8 (Middle, Outside): B
4. Verifying the Statements:
- Statement I: G faces Inside
- G is at Position 7, which is a corner seat. Corner seats face inside. Thus, Statement I is True.
- Statement II: C sits near E
- C is at Position 4 and E is at Position 5. Since they occupy adjacent seats, C sits near E. Thus, Statement II is True.
- Statement III: D sits immediate left of G
- G faces inside at Position 7. G's immediate left is clockwise, which leads to Position 6 occupied by D. Thus, Statement III is True.
Since all statements I, II, and III are correct, the correct option is "All I, II and III".
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