Question Details

Directions: Read the following information carefully and answer the question that follows.

Eight players are seated in two parallel lines with four players in each line, facing each other. In Line 1, A, B, C, and D are sitting, all facing north. In Line 2, W, X, Y, and Z are sitting, all facing south.

W sits at one of the extreme ends and faces the person who is second to the left of C. A is the immediate neighbour of C. B sits second to the right of A. X faces B. Z sits to the immediate left of Y.

How many players sit between D and the one who faces X?

Options

A

Cannot be determined

B

None

C

One

D

Three

E

Two

Show Answer

Correct Answer :

Option E

Two

Solution :

The correct answer is Two.

Step-by-step Explanation:

1. Understand the Setup:
- Line 1 players (facing North): A, B, C, D (Left to Right: Position 1 to Position 4)
- Line 2 players (facing South): W, X, Y, Z (Left to Right: Position 1 to Position 4 from North perspective)

2. Determine the positions of W and C:
- W sits at one of the extreme ends (Position 1 or Position 4 in Line 2) and faces the person who is second to the left of C.
- For Line 1 (facing North), "second to the left of C" means C is two positions to the right of that person.
- If C is at Position 3, the person second to his left is at Position 1. In this case, W sits at Position 1 in Line 2 (which is an extreme end).
- If C were at Position 4, the person second to his left would be at Position 2, but W must be at an extreme end, which would be a contradiction.
- Therefore, C sits at Position 3 in Line 1, and W sits at Position 1 in Line 2 (facing Position 1 of Line 1).

3. Determine the positions of A, B, and D in Line 1:
- "A is the immediate neighbour of C": Thus, A could sit at Position 2 or Position 4.
- "B sits second to the right of A": If A sits at Position 2, B sits at Position 4 (Position 2 + 2 = Position 4). If A sat at Position 4, B could not sit second to his right.
- Therefore, A sits at Position 2 and B sits at Position 4.
- The only remaining player for Line 1 is D, so D sits at Position 1.
- Line 1 (facing North) arrangement from Left to Right: D (Pos 1) – A (Pos 2) – C (Pos 3) – B (Pos 4).

4. Determine the remaining positions in Line 2:
- "X faces B": B is at Position 4 in Line 1, so X sits at Position 4 in Line 2.
- "Z sits to the immediate left of Y": Since Line 2 players are facing South, immediate left means moving towards Position 4 (East). Therefore, Y sits at Position 2 and Z sits at Position 3.
- Line 2 (facing South) arrangement from Left to Right: W (Pos 1) – Y (Pos 2) – Z (Pos 3) – X (Pos 4).

5. Final Calculation:
- The question asks: "How many players sit between D and the one who faces X?"
- The one who faces X is B (sitting at Position 4 of Line 1).
- D sits at Position 1 of Line 1.
- The players sitting between D (Position 1) and B (Position 4) in Line 1 are A and C.
- Thus, there are 2 players (A and C) sitting between D and the one who faces X.

Hence, the correct option is Two.

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