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 Q?
Explanation
To find Team Q, we look at the constraints provided for its location:
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Rule for Q: The problem states that Q has beaten the teams in towns E, C, and A.
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Elimination: Since a team cannot beat itself, Team Q cannot be located in towns E, C, or A.
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Town B: We already know that Town B is occupied by Team R.
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Conclusion: With towns A, B, C, and E accounted for or ruled out, the only remaining town for Team Q is Town D.
Location Summary:
| Town |
Team |
Reasoning |
| A |
T |
Town A beat R, P, and S, and was beaten by Q. |
| B |
R |
Directly stated in the problem. |
| C |
P |
Only team left for C because S is not in C. |
| D |
Q |
Only town left after ruling out A, B, C, and E. |
| E |
S |
Final remaining town/team pair. |
Team Q is in Town D.
