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Question

Five senior citizens are sitting on the bench. Q is not adjacent to R. T and P are adjacent to S, who is in middle of the row. T is not adjacent to R. Then, if P and T interchange their position, how many are there between T and Q?

The correct answer is

2

 To solve this seating arrangement problem, let's break down the given information and rearrange the positions accordingly.

  1. There are five senior citizens: P, Q, R, S, and T.
  2. S is positioned in the middle of the row. Thus, S sits at the third position.
__S__
  1. T and P are adjacent to S. Therefore, they sit next to S in position 2 and 4, but the exact positions are not fixed yet.
  2. Q is not adjacent to R, meaning Q and R cannot be next to each other.
  3. T is not adjacent to R. Therefore, T cannot be directly next to R.

Therefore, the only possible initial arrangement is:

QPSTR

Now, we interchange the positions of P and T as specified.

QTSPR
  1. After interchanging, we analyze the positions of T and Q. In this arrangement, there are two people between T and Q as depicted.

Therefore, the correct answer is 2. There are two people between T and Q after P and T interchange their positions.

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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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