Seating ArrangementsMCQPYQ Dec. 21Question 2352 of 145
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Six children, named as P, Q, R, S, T and U, are sitting in a row. Q is between U and S, T is between P and R, P doesn't sit next to either U or S. R does not sit next to S. So U is sitting between the pairs ______ of children.

Options

AQ and T
BQ and R
CQ and S
DQ and P
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Correct Answer

✅ Option b — Q and R

All Options:

  • AQ and T
  • BQ and R
  • CQ and S
  • DQ and P

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Detailed Solution & Explanation

Let us analyze the seating constraints of the six children P, Q, R, S, T, and U:
1. **Q is between U and S**: This forms the block (U,Q,S)\displaystyle (U, Q, S) or (S,Q,U)\displaystyle (S, Q, U).
2. **T is between P and R**: This forms the block (P,T,R)\displaystyle (P, T, R) or (R,T,P)\displaystyle (R, T, P).
3. **P does not sit next to U or S**: This means the blocks cannot be joined such that P is adjacent to U or S. Thus, P must be placed at one of the outer ends.
4. **R does not sit next to S**: R cannot be adjacent to S.

Let us test the arrangements of the two blocks:
- Let the first block be P−T−R\displaystyle P - T - R and the second block be U−Q−S\displaystyle U - Q - S. Join them side-by-side:
P−T−R−U−Q−SP - T - R - U - Q - S
- Is Q between U and S? Yes.
- Is T between P and R? Yes.
- Does P sit next to U or S? No, P is at the extreme left end and adjacent only to T. (Condition satisfied)
- Does R sit next to S? No, R is adjacent to T and U. (Condition satisfied)

In this valid arrangement, we see that **U is sitting between Q and R**.
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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