Question Details

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.

How many persons sit between A and C when counted from the left of A?

Options

A

Four

B

Two

C

Three

D

One

E

None

Show Answer

Correct Answer :

Option A

Four

Four

Solution :

Step 1: Understand the Seating Arrangement Rules
Let us analyze the structure of the square table and the directions the persons are facing:
1. There are 8 seats in total: 4 at the corners and 4 in the middle of the sides.
2. Persons at the corners face inside (towards the center).
3. Persons in the middle of the sides face outside (away from the center).
4. Direction rules:
- For a person facing inside (corner): "Left" is clockwise and "Right" is counter-clockwise.
- For a person facing outside (middle side): "Left" is counter-clockwise and "Right" is clockwise.

Step 2: Placing the first set of persons (A, B, and C)
1. "B sits immediate left of A."
Let us assume A sits at one of the corners (facing inside). Let this be Position 1.
Since A faces inside, the immediate left of A is clockwise, which puts B at a middle side (Position 2, facing outside).
2. "Three persons sit between B and C."
In an 8-person circular/square arrangement, if three persons sit between two people, they must sit opposite to each other.
Since B is at Position 2, C must be opposite to B at Position 6 (middle side, facing outside).

Step 3: Placing H and F
1. "One person sits between H and C."
Since C is at Position 6, H can be at Position 4 or Position 8.
2. "F sits just left of H but does not face outside."
Since F does not face outside, F must sit at a corner (facing inside).
- If H were at Position 4 (middle side, facing outside): The immediate left of H (counter-clockwise) would be Position 3 (corner). So F would be at Position 3.
- If H is at Position 8 (middle side, facing outside): The immediate left of H (counter-clockwise) is Position 7 (corner). So F is at Position 7.
Let us evaluate these two possibilities:

Case A: H is at Position 8 and F is at Position 7
The remaining vacant positions for G, E, and D are Positions 3, 4, and 5.
1. "E sits 2nd to the left of G."
If G sits at Position 3 (corner, facing inside), the left of G is clockwise (Position 4), and the second to the left is Position 5. Thus, E sits at Position 5.
2. "D sits near G."
This means D is adjacent to G. Since Position 2 is occupied by B, D must sit at Position 4, which is vacant. This perfectly fits all conditions.
Thus, the final clockwise arrangement from Position 1 to 8 is:
- Position 1: A (Corner, facing inside)
- Position 2: B (Middle side, facing outside)
- Position 3: G (Corner, facing inside)
- Position 4: D (Middle side, facing outside)
- Position 5: E (Corner, facing inside)
- Position 6: C (Middle side, facing outside)
- Position 7: F (Corner, facing inside)
- Position 8: H (Middle side, facing outside)

Step 4: Finding the answer to the question
We need to find how many persons sit between A and C when counted from the left of A:
A is at Position 1 and faces inside. The left of A is clockwise (towards Position 2).
Counting clockwise from A (Position 1) to C (Position 6), the persons sitting between them are:
B (Position 2), G (Position 3), D (Position 4), and E (Position 5).
Therefore, there are exactly Four persons sitting between A and C.

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