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Directions to Solve
P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:
  1. P is second to the right of T who is the neighbour of R and V.
  2. S is not the neighbour of P.
  3. V is the neighbour of U.
  4. Q is not between S and W. W is not between U and S.
Question -
Which two of the following are not neighbours ?
  • a)
    RV
  • b)
    UV
  • c)
    RP
  • d)
    QW
Correct answer is option 'A'. Can you explain this answer?
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Two arrangements are possible. I don't understand why the answer only shows one.
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Directions to Solve ...
Given Information:
- P, Q, R, S, T, U, V, and W are sitting around a circle and facing the center.
- P is second to the right of T, who is the neighbor of R and V.
- S is not the neighbor of P.
- V is the neighbor of U.
- Q is not between S and W. W is not between U and S.

To determine which two of the following are not neighbors:
a) RV
b) UV
c) RP
d) QW

Step-by-Step Solution:

Step 1: Determine the possible positions of T based on the given information.
- Since P is second to the right of T, T can be in the positions (clockwise): TP.
- T cannot be in the position PT because S is not the neighbor of P.
- Therefore, T can be TP.

Step 2: Determine the possible positions of R and V based on the given information.
- Since T is the neighbor of R and V, there are two possibilities: TRV or TVR.

Step 3: Determine the possible positions of P based on the given information.
- P is second to the right of T, so P can be in the positions (clockwise): TP or PT.

Step 4: Determine the possible positions of S based on the given information.
- S is not the neighbor of P, so S cannot be in the positions SP or PS.
- Therefore, S can be in the positions (clockwise): ST or TS.

Step 5: Determine the possible positions of U based on the given information.
- V is the neighbor of U, so U can be in the positions (clockwise): UV or VU.

Step 6: Determine the possible positions of Q and W based on the given information.
- Q is not between S and W, so Q cannot be in the positions QS or SQ.
- W is not between U and S, so W cannot be in the positions UW or WU.
- Therefore, Q can be in the positions (clockwise): QT or TQ, and W can be in the positions (clockwise): WT or TW.

Step 7: Determine the final positions of each person based on the possible combinations.
- Based on the possible positions determined in the previous steps, we can create the following combinations:
1. TRV, PT, ST, UV, QT, TW
2. TRV, PT, ST, UV, QT, WT
3. TVR, PT, ST, UV, QT, TW
4. TVR, PT, ST, UV, QT, WT

Step 8: Determine the neighbors for each person in each combination.
- Combination 1: TRV, PT, ST, UV, QT, TW
- P's neighbors are T and S.
- R's neighbors are T and V.
- V's neighbors are R and U.
- U's neighbors are V and T.
- Q's neighbors are T and W.
- W's neighbors are Q and T.

- Combination 2: TRV, PT, ST, UV,
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Directions to Solve P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:P is second to the right of T who is the neighbour of R and V.S is not the neighbour of P.V is the neighbour of U.Q is not between S and W. W is not between U and S. Question - Which two of the following are not neighbours ?a)RVb)UVc)RPd)QWCorrect answer is option 'A'. Can you explain this answer?
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