Seating ArrangementsPYQ Jan 26Question 4574 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 which position B is sitting?

Options

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

✅ Option c — Between E and A

All Options:

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

Detailed Solution & Explanation

Let the five positions on the bench from left to right be represented by 1,2,3,4,5\displaystyle 1, 2, 3, 4, 5. We can determine the arrangement step-by-step using the given clues: 1. **Clue: E is on the left end of the bench.** This means E is at position 1\displaystyle 1. Positions: [E,_,_,_,_]\text{Positions: } [E, \_, \_, \_, \_] 2. **Clue: C is on the second position from the right.** Since there are 5\displaystyle 5 positions, the second from the right is position 4\displaystyle 4. Positions: [E,_,_,C,_]\text{Positions: } [E, \_, \_, C, \_] 3. **Clue: A and C are sitting together.** This means A must be adjacent to C (position 4\displaystyle 4). So A can be at position 3\displaystyle 3 or 5\displaystyle 5. 4. **Clue: A is to the right of B and E.** Since E is at position 1\displaystyle 1, A must be to the right of E, which is always true. But A must also be to the right of B. Also, **A is sitting next to B.** If A is at position 3\displaystyle 3, then B must be at position 2\displaystyle 2 (since position 4\displaystyle 4 is occupied by C). In this case, A (position 3\displaystyle 3) is indeed to the right of B (position 2\displaystyle 2). Let us test this configuration: Positions: [E,B,A,C,_]\text{Positions: } [E, B, A, C, \_] 5. **Clue: C is sitting next to D.** Since C is at position 4\displaystyle 4 and position 3\displaystyle 3 is occupied by A, D must be at position 5\displaystyle 5. This gives the complete arrangement: Positions: [E,B,A,C,D]\text{Positions: } [E, B, A, C, D]
Let us double-check all conditions for [E,B,A,C,D]\displaystyle [E, B, A, C, D]: - A is sitting next to B (positions 3\displaystyle 3 and 2\displaystyle 2): Yes. - C is sitting next to D (positions 4\displaystyle 4 and 5\displaystyle 5): Yes. - D is not sitting with E (positions 5\displaystyle 5 and 1\displaystyle 1): Yes. - E is on the left end (position 1\displaystyle 1): Yes. - C is second from right (position 4\displaystyle 4): Yes. - A is to the right of B and E: Yes (position 3>\displaystyle 3 > positions 2,1\displaystyle 2, 1). - A and C are sitting together (positions 3\displaystyle 3 and 4\displaystyle 4): Yes.
Therefore, B is sitting between E and A. Hence, **Option C** 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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