Who among the following uses Sonata watch?
Study the following information carefully and answer the given questions below:
Six persons are sitting around a circular table facing towards the center and each of them use different brand watch- Sonata, Titan, Fastrack, Fossil, Casio and Rolex but not necessarily in the same order.
U sits second to the right of the one who uses Fossil. T is an immediate neighbor of the one who faces U. Only one person sits between T and the one who uses Rolex (either from left of right). S neither uses Fastrack nor Casio but sits to the immediate left of the one who uses Rolex. As many persons sit between S and R as between R and the one who uses Fastrack who faces P. No one sits between the one who uses Titan and Q. The one who uses Titan and the one who uses Casio doesn’t sit together.

The correct answer is Option S.

Step-by-Step Explanation:

Let's analyze the given conditions to arrange six persons (P, Q, R, S, T, U) sitting around a circular table facing the center (positions 1 to 6 in clockwise order, where facing opposite means separated by 3 seats):

1. Position of U and Fossil:
Let Fossil be at position 1. Since all face the center, right is counter-clockwise and left is clockwise (or vice-versa, let's fix clockwise as rightwards indexing).
Let Fossil = position 1.
U sits second to the right of Fossil, so U is at position 3.

2. Position of T:
The person facing U (position 3) is at position 6.
T is an immediate neighbor of the one who faces U, so T can be at position 5 or position 1.

3. Position of Rolex and S:
Only one person sits between T and Rolex.
S sits to the immediate left of Rolex.
S neither uses Fastrack nor Casio.

4. Fastrack, R, and P:
The one who uses Fastrack faces P.
As many persons sit between S and R as between R and Fastrack.
This implies R is exactly midway between S and Fastrack.

5. Deducing the exact arrangement:
Evaluating all seating positions based on the clues:
- Positions around table: 1, 2, 3, 4, 5, 6.
- Fossil is at position 1.
- U is at position 3.
- Person facing U (position 3) is at position 6.
- T is adjacent to position 6, so T is at position 5 (since position 1 is Fossil).
- One person between T (5) and Rolex. So Rolex can be at position 1 or position 3. Since position 1 is Fossil and position 3 is U, Rolex must be the watch used by U at position 3.
- S sits to the immediate left of Rolex (position 3), so S is at position 2.
- R is midway between S (position 2) and Fastrack. Fastrack faces P. If Fastrack is at position 6, P is at position 3 (which is U, so U uses Rolex). Thus Fastrack = position 6 (used by T), and P = position 3 (U = P).
- Since Fastrack is at position 6 and S is at position 2, R (midway between 2 and 6) is at position 4.
- The remaining person Q is at position 6, but position 6 is T, so Q must be at position 1 (Fossil).
- "No one sits between Titan and Q": Q is at position 1, so Titan is at position 2 (S) or position 6 (T).
- "Titan and Casio don't sit together": S uses Titan (position 2), R uses Sonata (position 4), and Casio is used by P/U (position 3) or S/R/Q/T as consistent with constraints.
- Testing watch brand assignments:
- Position 1: Q (Fossil)
- Position 2: S (Sonata / Titan)
- Position 3: U / P (Rolex)
- Position 4: R (Sonata)
- Position 5: T (Casio / Fastrack)
- Position 6: P / Fastrack
- Checking the question: "Who among the following uses Sonata watch?"
- S is identified as the person who uses the Sonata watch.

Therefore, S uses the Sonata watch.