Seating ArrangementsPYQ Sept 25Question 4453 of 145
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Seven persons with names T, B, L, A, P, Z and R are standing in a row, facing East. It is given that T is to the right of R; A is between B and Z, L, who is third to the left of B, is at the end; R is fourth to the right of L. Who is at the immediate right of T?

Options

AZ
BB
CP
DR
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Correct Answer

✅ Option c — P

All Options:

  • AZ
  • BB
  • CP
  • DR

Detailed Solution & Explanation

Let us analyze the positions of the seven persons in a row from left to right, represented by positions 1, 2, 3, 4, 5, 6, and 7, facing East.
1. **L, who is third to the left of B, is at the end**: Since L is to the left of B, L must be at the left end of the row. Thus, L is at position 1. Since L is third to the left of B, B must be 3 positions to the right of L. Thus, the position of B is:
Position(B)=1+3=4\text{Position}(B) = 1 + 3 = 4
So, L is at position 1 and B is at position 4.
2. **R is fourth to the right of L**: The position of R is:
Position(R)=1+4=5\text{Position}(R) = 1 + 4 = 5
So, R is at position 5.
3. **A is between B and Z**: Since B is at position 4 and R is at position 5, A cannot be at position 5. Therefore, A must be to the left of B, at position 3, and Z must be at position 2. This places A between B(4) and Z(2).
At this stage, the arrangement is: L(1),Z(2),A(3),B(4),R(5),[Empty](6),[Empty](7)\displaystyle L(1), Z(2), A(3), B(4), R(5), \text{[Empty]}(6), \text{[Empty]}(7).
4. **T is to the right of R**: The remaining positions are 6 and 7, and the remaining persons are T and P. Since T is to the right of R (who is at 5), T must occupy either position 6 or 7. If T is at position 7, there would be no one to the immediate right of T. Therefore, T must be at position 6, and P must be at position 7.
Let us double-check the final arrangement: L(1),Z(2),A(3),B(4),R(5),T(6),P(7)\displaystyle L(1), Z(2), A(3), B(4), R(5), T(6), P(7).
- T is to the right of R (since 6 is to the right of 5).
- The person at the immediate right of T (position 6) is P (position 7).
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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