Seating ArrangementsPYQ May 25Question 4051 of 145
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A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In what position A is sitting?

Options

ABetween B and D
BBetween B and C
CBetween E and D
DBetween C and E
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Correct Answer

✅ Option b — Between B and C

All Options:

  • ABetween B and D
  • BBetween B and C
  • CBetween E and D
  • DBetween C and E

Detailed Solution & Explanation

Let us analyze the seating arrangement on the bench step-by-step for the 5 positions numbered 1 to 5 from left to right:
Bench: _____\text{Bench: } \_ \quad \_ \quad \_ \quad \_ \quad \_ 123451 \quad 2 \quad 3 \quad 4 \quad 5
1. "E is on the left end of the bench."
This directly gives us the position of E\displaystyle E:
- Position 1: E\displaystyle E

2. "C is on the second position from the right."
The right end is position 5, so the second position from the right is position 4:
- Position 4: C\displaystyle C
Our setup so far is:
- Position 1: E\displaystyle E, Position 4: C\displaystyle C.

3. "A and C are sitting together."
Since C\displaystyle C is at position 4, A\displaystyle A can be at position 3 or position 5.
- If A\displaystyle A is at position 5, then "A is sitting next to B" would require B\displaystyle B to be at position 4. But position 4 is already occupied by C\displaystyle C. Thus, A\displaystyle A cannot be at position 5.
- Therefore, A\displaystyle A must be at position 3.

4. "A is sitting next to B."
Since A\displaystyle A is at position 3, B\displaystyle B must be at position 2 (since position 4 is occupied by C\displaystyle C):
- Position 2: B\displaystyle B

5. The remaining position 5 must be occupied by the last person, D\displaystyle D:
- Position 5: D\displaystyle D

Let us double-check all other conditions with our arrangement: E\displaystyle E (1), B\displaystyle B (2), A\displaystyle A (3), C\displaystyle C (4), D\displaystyle D (5):
- "C is sitting next to D": C\displaystyle C (4) is next to D\displaystyle D (5). (True)
- "D is not sitting with E": D\displaystyle D (5) is not next to E\displaystyle E (1). (True)
- "A is to the right of B and E": A\displaystyle A (3) is to the right of B\displaystyle B (2) and E\displaystyle E (1). (True)

The question asks for the position of A\displaystyle A. In our arrangement, A\displaystyle A is at position 3, which is between B\displaystyle B (at position 2) and C\displaystyle C (at position 4).

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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