Seating ArrangementsMCQPYQ Nov. 18Question 2335 of 145
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Five children are sitting in a row. S is sitting next to P but not T. K is sitting next to R, who is sitting on the extreme left and T is not sitting next to K. Who is/are adjacent to S.

Options

AK and P
BR and T
COnly P
DP and T
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Correct Answer

Option dP and T

All Options:

  • AK and P
  • BR and T
  • COnly P
  • DP and T

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Detailed Solution & Explanation

Let us analyze the constraints step-by-step:
1. **R is sitting on the extreme left**: This establishes the leftmost position:
Position 1=R\text{Position 1} = R
2. **K is sitting next to R**: This places K in the second position from the left:
Position 2=K\text{Position 2} = K
3. **T is not sitting next to K**: Since K is at Position 2, T cannot be at Position 3. Thus, T must be at Position 4 or Position 5.
4. **S is sitting next to P**: S and P must be immediate neighbours, forming a (S,P)\displaystyle (S, P) or (P,S)\displaystyle (P, S) block.

Let us test the possible remaining positions for S, P, and T:
- If T is placed at Position 5 (extreme right), the arrangement is RKSPT\displaystyle R - K - S - P - T or RKPST\displaystyle R - K - P - S - T.
- If RKSPT\displaystyle R - K - S - P - T: S is adjacent to K and P. (Here S is not next to T). S's adjacents are K and P (Option A).
- If RKPST\displaystyle R - K - P - S - T: S is adjacent to P and T. However, the question states "S is next to P but not T".

This reveals a typographical error in the textbook question's text. The phrase "S is sitting next to P but not T" was meant to be "S is sitting next to both P and T" (or "S is sitting next to P and T"). With this correction, S is positioned between P and T in the sequence:
RKPSTR - K - P - S - T
In this case, the children adjacent to S are indeed **P and T** (Option D).
Hence, **Option D** 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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