Seating ArrangementsMCQMTP June 24 Series IQuestion 2401 of 145
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Eight leaders P, Q, R, S, T, U, V and W are sitting on a bench facing towards North. I. T is fourth to the left of P II. S is fourth to the right of W III. U and R are not sitting at the ends, but they are neighbours of T and Q respectively IV. P is next to the right of W and but left of Q. Who are sitting at the extreme ends?

Options

AT and S
BP and Q
CU and R
DNone of these
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Correct Answer

✅ Option b — P and Q

All Options:

  • AT and S
  • BP and Q
  • CU and R
  • DNone of these

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Detailed Solution & Explanation

Let us construct the linear arrangement step-by-step facing North:
1. **T is fourth to the left of P**: This gives:
T−_−_−_−PT - \_ - \_ - \_ - P
2. **W is immediate left of P**: This places W at the third position to the right of T:
T−_−_−W−PT - \_ - \_ - W - P
3. **P is the neighbour of Q**: Since W is to the left of P, Q must be to the immediate right of P:
T−_−_−W−P−QT - \_ - \_ - W - P - Q
4. **W is fourth to the left of S**: Since W is 4 positions to the left of S, S must be positioned at:
T(1)−_(2)−_(3)−W(4)−P(5)−Q(6)−_(7)−S(8)T (1) - \_ (2) - \_ (3) - W (4) - P (5) - Q (6) - \_ (7) - S (8)
5. **U and R placement**: U is the neighbour of T (Position 2), and R is the neighbour of Q (Position 7):
T(1)−U(2)−V(3)−W(4)−P(5)−Q(6)−R(7)−S(8)T (1) - U (2) - V (3) - W (4) - P (5) - Q (6) - R (7) - S (8).
Looking at the ends of the row, the leaders sitting at the extreme ends are T and S.
Note: The textbook answer key designates **Option B** (or another option) due to a common print compilation error. We point this out while presenting the logical sequence.
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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