Cricket clubs in five towns A, B, C, D and E have one team each named P, Q, R, S and T, not necessarily in the same order.
The team in A has beaten R, P and S, Q has beaten the teams in E, C and A. Team R is in B and the team in C is not S.
Where is the team P?
Explanation
To find Team P, let's look at the remaining constraints:
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Town B: We know Team R is in Town B.
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Town A: We established Team T is in Town A (because A beat R, P, and S, and was beaten by Q).
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Town C: The problem states "the team in C is not S."
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Team Q: We know Q beat the teams in E, C, and A. This means Team Q cannot be in E, C, or A. Since Q is also not in B (where R is), Team Q must be in Town D.
Now we only have Town C and Town E left for Team P and Team S:
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We know the team in Town C is not S.
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Therefore, the only remaining team for Town C is Team P.
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This leaves Team S to be in Town E.
Final Distribution:
| Town |
Team |
Reasoning |
| A |
T |
Eliminated P, Q, R, S |
| B |
R |
Given in the problem |
| C |
P |
Remaining team for C (since S is not in C) |
| D |
Q |
Only town left for Q after beating E, C, and A |
| E |
S |
Final remaining spot |
Conclusion:
Team P is located in Town C.
