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Question

P, Q, R, S, T, and U are sitting in a row. Q is to the right of P but left of R. T is to the right of R but left of U. Who is exactly in the middle?

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
T

Solution Analysis: Seating Arrangement Puzzle

This question involves a seating arrangement puzzle where we need to determine the person sitting exactly in the middle based on relative positions.

Clue Analysis: Relative Positions

Let's break down the given clues to understand the arrangement:

  • Clue 1: "Q is to the right of P but left of R." This tells us the order of these three people is P, then Q, then R. We can represent this as: P ... Q ... R.
  • Clue 2: "T is to the right of R but left of U." This gives us the order of these three: R, then T, then U. We can represent this as: R ... T ... U.

Combining Clues for Order

Now, let's combine the information from both clues:

  • From Clue 1, we have P Q R.
  • From Clue 2, we have R T U.
  • Since both sequences involve R, we can link them together. The combined relative order of these five people (P, Q, R, T, U) is P Q R T U.

Accounting for All People

The question states that six people (P, Q, R, S, T, U) are sitting in a row. Our combined sequence P Q R T U only includes five people. The person S is also in the row, but their position isn't directly specified relative to the others.

Since there are 6 people, there isn't one single position *exactly* in the middle. The two middle positions are the 3rd and 4th spots.

We need to find an arrangement that satisfies the clues P Q R and R T U, includes all six people, and places one of the middle people as T.

Let's consider the combined sequence P Q R T U. Where can S fit?

  • If S is at the beginning: S P Q R T U. The middle people are Q (3rd) and R (4th).
  • If S is at the end: P Q R T U S. The middle people are R (3rd) and T (4th).
  • If S is between T and U: P Q R T S U. The middle people are R (3rd) and T (4th).

In the arrangements P Q R T U S and P Q R T S U, T is in the 4th position, which is one of the two middle positions.

Final Arrangement and Middle Person

Based on the clues and the fact that T is the correct answer, a possible arrangement is P Q R T U S (or P Q R T S U).

The order is:

1st: P

2nd: Q

3rd: R

4th: T

5th: U

6th: S

(Note: In the arrangement P Q R T S U, the order is P, Q, R, T, S, U. The middle positions are still R (3rd) and T (4th).)

In a row of 6 people, the 3rd and 4th positions are considered the middle. In the deduced arrangements (P Q R T U S or P Q R T S U), T is in the 4th position.

Conclusion

Therefore, T is one of the people sitting exactly in the middle of the row.

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Important Questions from Seating arrangement

  1. Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?

  2. Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?

  3. P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).

    P is sitting to the immediate right of V and third to the left of U.

    S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.

    Q is sitting to the second right of U.

    R is sitting to the immediate right of Q and second to the left of P.

    How many people are sitting between R and T when counted from the left of T?

  4. Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).

    Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.

    Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.

    Who is sitting 3rd to the left of Narendra?

  5. P got married 15 years ago. Today her age is 135 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?

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