Seating ArrangementsPYQ Sept 25Question 4450 of 145
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Six persons A, B, C, D, E and F are sitting in a circle facing the centre. A is facing D. C is left of A and right of E. D is between B and E. F is right of A. Which one of the following statements is incorrect?

Options

AF and C are neighbours.
BF is between A and B.
CF and A are neighbours.
DB is left of D.
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Correct Answer

✅ Option a — F and C are neighbours.

All Options:

  • AF and C are neighbours.
  • BF is between A and B.
  • CF and A are neighbours.
  • DB is left of D.

Detailed Solution & Explanation

To find the incorrect statement, we first determine the circular arrangement of the six persons facing the centre.
Let us place the six persons at positions 1 to 6 in a circle clockwise:
1. **A is facing D**: If we place A at position 1 (top, facing the centre), then D, who is directly opposite A, must be at position 4.
2. **C is left of A and right of E**: Since A is facing the centre, the left of A corresponds to position 2 (clockwise direction). So, C is at position 2. Since C is to the right of E, E must be at position 3, so that when E faces the centre, C is to E's right (counter-clockwise direction from E).
3. **D is between B and E**: D is at position 4, and E is at position 3. Since D must be between B and E, B must be at position 5.
4. **F is right of A**: Since A is at position 1, the right of A corresponds to position 6 (counter-clockwise direction). Therefore, F is at position 6.
This gives the complete clockwise arrangement of the six persons as:
A(1)→C(2)→E(3)→D(4)→B(5)→F(6)→A(1)A(1) \rightarrow C(2) \rightarrow E(3) \rightarrow D(4) \rightarrow B(5) \rightarrow F(6) \rightarrow A(1)
Now let us evaluate each statement:
- **Option a: F and C are neighbours**: F is at position 6 and C is at position 2. They are separated by A at position 1. Thus, they are not neighbours. This statement is incorrect.
- **Option b: F is between A and B**: F is at position 6, which is between position 1 (A) and position 5 (B). This statement is correct.
- **Option c: F and A are neighbours**: F is at position 6 and A is at position 1. They are adjacent, so they are neighbours. This statement is correct.
- **Option d: B is left of D**: D is at position 4. Since D faces the centre, the left of D corresponds to position 5. B is at position 5, so B is left of D. This statement is correct.
Therefore, the incorrect statement is "F and C are neighbours".
Hence, **Option A** is the correct answer.

About This Chapter: Seating Arrangements

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Linear & Circular Seating Arrangements

A crucial part of the Logical Reasoning section. It tests spatial reasoning through linear arrangements (people sitting in a row) and circular arrangements. Students must decode right/left orientation based on the direction individuals face (North, South, or Center).

View Official ICAI Syllabus

Exam Strategy Tip

Always use abbreviations (A, B, C) and draw the diagram immediately. The key trick is to never start with a 'relative' clue; always start with a fixed, concrete clue (e.g., 'A sits at the extreme right').

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