Eight people P , Q, R, S, T, U, V, W sit around a circle facing the center . P is second right of Q. R is opposite P . S is immediate left of R. T is third to the right of Q. U is sits to the immediate left of S. W is opposite T. Who is immediate right of Q?
Correct Answer :
V
Solution :
Correct Answer: The correct option is V.
Step-by-Step Explanation:
Let's analyze the given conditions step-by-step to arrange the eight people (P, Q, R, S, T, U, V, W) around a circle facing the center. Since everyone faces the center, "clockwise" corresponds to the left and "counter-clockwise" corresponds to the right.
1. Position of Q and P:
Place Q at a fixed position. P is second to the right of Q.
Moving 2 positions counter-clockwise from Q gives the position of P.
2. Position of R:
R is opposite P.
In an 8-person circular seating arrangement, being opposite means separated by 3 persons (or 4 positions away).
3. Position of S:
S is to the immediate left of R.
Moving 1 position clockwise from R gives the position of S.
4. Position of T:
T is third to the right of Q.
Moving 3 positions counter-clockwise from Q gives the position of T.
5. Position of U:
U sits to the immediate left of S.
Moving 1 position clockwise from S gives the position of U.
6. Position of W:
W is opposite T.
Moving 4 positions away from T gives the position of W.
7. Finding the remaining person (V):
So far, the positions occupied are P, Q, R, S, T, U, and W.
The only remaining person to be seated is V, who must occupy the remaining vacant spot.
Let's trace the arrangement in clockwise order (to the left):
Q → V → U → S → R → W → P → T → (back to Q)
Let's trace the arrangement in counter-clockwise order (to the right of Q):
1st to the right of Q: V
2nd to the right of Q: P
3rd to the right of Q: T
Thus, the person to the immediate right of Q is V.
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