Question 69

Logical Reasoning Puzzles Easy

U, V, W, X and T are sitting on a bench. T is sitting next to U, V is sitting next to W, W is not sitting with X who is on the left end of the bench. V is in the second position from the right. T is to the right of U and X. T and V are sitting together. In which position T is sitting?

(A) Between V and X
(B) Between U and V
(C) Between U and W
(D) Between X and W
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Step-by-Step Seating Arrangement

To find T's position, we can map out the five seats on the bench and place each person according to the given clues.

Let the seats be numbered 1 to 5 from left to right: [1] [2] [3] [4] [5].

1. Applying the Definite Clues

  • Clue: "...X who is on the left end of the bench."
    → X is in seat 1.
    Arrangement: X __ __ __ __
  • Clue: "V is in the second position from the right."
    → V is in seat 4.
    Arrangement: X __ __ V __

2. Placing the Other Individuals

  • Clue: "T and V are sitting together."
    → Since V is in seat 4, T must be in either seat 3 or seat 5.
  • Clue: "T is sitting next to U" and "T is to the right of U".
    → These two clues combined mean that U and T must be sitting together in the specific order (U, T).

3. Evaluating the Possibilities for T

  • Case 1: Assume T is in seat 5.
    The arrangement would be X __ __ V T. For U and T to be together as (U,T), U would need to be in seat 4. But seat 4 is already occupied by V. Therefore, this case is impossible.
  • Case 2: Assume T is in seat 3.
    The arrangement would be X __ T V __. For U and T to be together as (U,T), U must be in seat 2. This is a valid placement.
    Arrangement: X U T V __

4. Final Arrangement

The only person left is W, and the only seat left is 5. So, W must be in seat 5.

The final seating arrangement is: X - U - T - V - W

This arrangement is consistent with all the other clues (e.g., "W is not sitting with X" and "V is sitting next to W").

Conclusion

The question asks where T is sitting. In the final arrangement, T is in seat 3, with U on the left (seat 2) and V on the right (seat 4).

Therefore, T is sitting Between U and V.

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