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Question

P, Q, R, S, T and U are six friends. They are sitting in a row facing south. P is sitting to the immediate left of R and second to the right of S. T is sitting to the immediate right of R. U is sitting second to the left of R. Q is sitting to the immediate left of S. Who is sitting at the extreme right end of the row?

The correct answer is

T

Solving Seating Arrangement Puzzle Facing South

This problem involves arranging six friends (P, Q, R, S, T, and U) in a straight row based on given clues. They are all facing South. We need to use the given clues to determine their exact order.

Understanding Relative Positioning (Facing South)

When individuals are seated in a row facing South:

  • "To the immediate left" means the person is situated immediately to your West.
  • "To the immediate right" means the person is situated immediately to your East.
  • "Second to the left" means two positions to your West.
  • "Second to the right" means two positions to your East.

For the "extreme ends" of the row, it is common in diagrams to consider the "extreme left end" as the leftmost position (most West) and the "extreme right end" as the rightmost position (most East) in the linear arrangement diagram.

Constructing the Seating Arrangement

Let's build the arrangement step-by-step based on the clues:

  • Clue 1: P is sitting to the immediate left of R. Since they face South, P is immediately West of R. Arrangement so far: P R
  • Clue 2: P is sitting second to the right of S. Since they face South, P is two positions East of S. This places S two positions West of P. Arrangement: S _ P. Combining with Clue 1: S _ P R
  • Clue 3: T is sitting to the immediate right of R. Since they face South, T is immediately East of R. Arrangement: P R T. Combining with previous: S _ P R T
  • Clue 4: U is sitting second to the left of R. Since they face South, U is two positions West of R. Given P is immediate West of R, U must be immediate West of P. Arrangement: U P R. Combining with previous: S U P R T
  • Clue 5: Q is sitting to the immediate left of S. Since they face South, Q is immediately West of S. Arrangement: Q S. Combining: Q S U P R T

Final Arrangement from West to East

The complete arrangement of the friends from West to East is:

Position (West to East)Friend
1st (Most West)Q
2ndS
3rdU
4thP
5thR
6th (Most East)T

Identifying the Friend at the Extreme Right End

Assuming "extreme right end" refers to the person at the rightmost position in the linear arrangement diagram (most East position), based on our final arrangement Q S U P R T (from West to East):

The person at the extreme right end is T.

This is the position furthest to the East in the row.

Step-by-Step Solution Summary

1. Interpret each seating clue considering the friends are facing South.

2. Use the clues to progressively build the linear arrangement of the six friends.

3. The final arrangement determined from West to East is Q, S, U, P, R, T.

4. Identify the friend positioned at the extreme rightmost point of this linear arrangement.

5. This position is occupied by T.

Revision Table: Seating Arrangement Clues Analysis

ClueInterpretation (Facing South)Implied Position Relative to Others
P immediate left of RP is West of R...P R...
P second right of SP is East of SS _ P...
T immediate right of RT is East of R...R T...
U second left of RU is West of RU _ R... (leading to U P R)
Q immediate left of SQ is West of SQ S...

Additional Information: Linear Seating Arrangements Facing South

Solving linear seating arrangements, especially those facing South, requires careful distinction between your own left/right and the seated individuals' left/right. When facing South, the direction of 'left' is towards the West, and 'right' is towards the East.

Common terms used in such puzzles:

  • Immediate Left/Right: Adjacent positions.
  • Second/Third Left/Right: Positions separated by one/two individuals.
  • Extreme Ends: The persons at the very beginning and end of the row. While facing direction dictates relative left/right *within* the row, the "extreme ends" in diagrams usually refer to the physically leftmost (West) and rightmost (East) positions.

Practicing various arrangements helps in quickly interpreting clues and building the sequence accurately.

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Important Questions from Linear Arrangement

  1. Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?

  2. P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?

  3. 5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?

  4. Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?

  5. Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.

    How many people sit between R and V?

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