Directions: Read the following information carefully and answer the questions given below.
Eight individuals—P, Q, R, S, T, U, V, and W—are seated around a rectangular table. Four of them sit at the corners facing towards the centre, while the other four sit at the middle of the four sides facing away from the centre.
W sits at one of the middle of the sides and sits third to the right of S. R sits to the immediate right of U, who sits at one of the corners. Only two persons sit between R and Q. P sits second to the left of R. V sits to the immediate left of P. T sits to the immediate right of Q. W sits to the immediate right of V.
If all the persons sit in alphabetical order in clockwise direction starting from P, then the position of how many persons remains unchanged (excluding P)?
Correct Answer :
Two
Solution :
The correct answer is Two.
Step-by-Step Explanation:
We are given eight individuals (P, Q, R, S, T, U, V, and W) seated around a rectangular table:
- 4 persons sit at the corners facing towards the centre (Inward).
- 4 persons sit at the middle of the four sides facing away from the centre (Outward).
1. Determining the Positions of W, S, V, P, R, and U:
- W sits at one of the middle of the sides (facing outward).
- W sits third to the right of S. For W to be at a middle side position, S must sit at a corner (facing inward, where right means counter-clockwise direction).
- U sits at one of the corners (facing inward), and R sits to the immediate right of U. Thus, R sits at a middle side position (facing outward).
- P sits second to the left of R. Since R faces outward, left corresponds to counter-clockwise movement around the table, placing P at a side position.
- V sits to the immediate left of P (a corner position), and W sits to the immediate right of V, which seamlessly connects P, V, and W.
2. Determining the Positions of Q and T:
- Only two persons sit between R and Q. Placing Q two positions away from R puts Q at a corner position.
- T sits to the immediate right of Q, which places T at the remaining side position.
- S occupies the last remaining corner position.
Summary of Table Seating Arrangement (in Counter-Clockwise order starting from U):
1. Position 1 (Corner): U
2. Position 2 (Side): R
3. Position 3 (Corner): S
4. Position 4 (Side): P
5. Position 5 (Corner): V
6. Position 6 (Side): W
7. Position 7 (Corner): Q
8. Position 8 (Side): T
Alphabetical Order Comparison in Clockwise Direction:
Starting from P's seat and moving in the clockwise direction, let us compare the original occupants with the alphabetical order (P, Q, R, S, T, U, V, W):
- Seat 1 (P's seat): Original = P | Alphabetical = P (Excluded)
- Seat 2: Original = S | Alphabetical = Q
- Seat 3: Original = R | Alphabetical = R (Unchanged)
- Seat 4: Original = U | Alphabetical = S
- Seat 5: Original = T | Alphabetical = T (Unchanged)
- Seat 6: Original = Q | Alphabetical = U
- Seat 7: Original = W | Alphabetical = V
- Seat 8: Original = V | Alphabetical = W
Excluding P, the positions of 2 persons (R and T) remain unchanged.
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