Seating ArrangementsMCQPYQ Dec 21Question 2359 of 145
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Seven friends A,B,C,D,E,F & G are watching movie sitting in a row. E is sitting at one extreme end. C is sitting second to E. B is sitting between A & C. G is not sitting at any extreme end. A is not at any extreme end. D is sitting immediate to F. who is sitting in the middle?

Options

AG
BD
CC
DB
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Correct Answer

✅ Option d — B

All Options:

  • AG
  • BD
  • CC
  • DB

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Detailed Solution & Explanation

Let us analyze the seating of the seven friends step-by-step:
1. **E is sitting at one extreme end**: Let us place E at Position 7:
_−_−_−_−_−_−E\_ - \_ - \_ - \_ - \_ - \_ - E
2. **C is sitting second to E**: This places C at Position 5:
_−_−_−_−C−_−E\_ - \_ - \_ - \_ - C - \_ - E
3. **B is sitting between A and C**: This gives the block A−B−C\displaystyle A - B - C. Since C is at Position 5, B must be at Position 4 and A at Position 3:
_−_−A−B−C−_−E\_ - \_ - A - B - C - \_ - E
4. **D is sitting immediate to F**: This means D and F must occupy adjacent seats. The only adjacent empty seats are Position 1 and Position 2. Thus, D and F are at {1,2}\displaystyle \{1, 2\}.
5. **Placing the remaining person G**: The only empty seat left is Position 6, which must be occupied by G:
[D/F](1)−[F/D](2)−A(3)−B(4)−C(5)−G(6)−E(7)[D/F] (1) - [F/D] (2) - A (3) - B (4) - C (5) - G (6) - E (7)
6. **Verifying constraints**: G is not at any extreme end (G is at 6, Yes). A is not at any extreme end (A is at 3, Yes).

Looking at the final arrangement, the person sitting in the middle (Position 4) is B.
Hence, **Option D** 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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