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Question

Five people Q, R, S, T and U are sitting in a straight row, facing north. S is an immediate neighbour of both T and R. R is an immediate neighbour of Q. If Q is at the extreme right end of the row, then who is sitting at the extreme left end?

The correct answer is
U

Seating Arrangement Setup

The problem describes five people: Q, R, S, T, and U. They are sitting in a single row and all are facing the same direction, North. We are given specific placement clues relative to each other and need to find who is at the far left end of the row.

Analyzing the Clues for Placement

Let's break down the given information step-by-step:

  • Neighbour Clue 1: "S is an immediate neighbour of both T and R." This tells us that S must be sitting directly between T and R. The sequence must look like either TSR or RST.
  • Neighbour Clue 2: "R is an immediate neighbour of Q." This means R and Q are sitting next to each other. The sequence must be RQ or QR.
  • Position Clue: "Q is at the extreme right end of the row." This is a fixed point. Since everyone faces North, the extreme right is the end position on the right side.

Determining the Final Arrangement

We can determine the seating order using the clues:

  1. Place Q: Q is at the extreme right end. Let's represent the row with 5 slots from left (1) to right (5). Q is in slot 5. Row: _ _ _ _ Q
  2. Place R: R is next to Q. Since Q is at the end (slot 5), R must be in slot 4. Row: _ _ _ R Q
  3. Place S and T: From Clue 1, S is between T and R. Since R is in slot 4, S must be in slot 3 to be next to R. T must then be next to S, placing T in slot 2. This forms the T-S-R sequence required. Row: _ T S R Q
  4. Place U: Only one person (U) and one slot (slot 1, the extreme left) remain. U must therefore be in slot 1. Final Row: U T S R Q

The complete arrangement from left to right is U, T, S, R, Q.

Identifying the Leftmost Person

Looking at the final arrangement U T S R Q, the person occupying the first position (the extreme left end) is U.

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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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