Seating ArrangementsMCQMTP Apr 21Question 2387 of 145
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In a straight line there are six person sitting in a row? B is between F and D. E is between A and C. A does not stand next to either F or D. C does not stand next to D. F is between which of the following?

Options

AB and E
BB and C
CB and D
DB and A
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Correct Answer

✅ Option b — B and C

All Options:

  • AB and E
  • BB and C
  • CB and D
  • DB and A

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Detailed Solution & Explanation

Let us construct the linear arrangement of the six persons step-by-step:
1. **B is between F and D**: block (F,B,D)\displaystyle (F, B, D) or (D,B,F)\displaystyle (D, B, F).
2. **E is between A and C**: block (A,E,C)\displaystyle (A, E, C) or (C,E,A)\displaystyle (C, E, A).
3. **A does not stand next to F or D** (A is at an extreme end).
4. **C does not stand next to D**.

The unique valid seating arrangement is:
A−E−C−F−B−DA - E - C - F - B - D
In this arrangement, we see that **F is sitting between B and C**.
Hence, **Option B** 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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