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.
Which team is in A?
Explanation
Step 1: Eliminate teams that cannot be in Town A
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The problem states: "The team in A has beaten R, P and S."
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A team cannot beat itself. Therefore, the team in Town A cannot be R, it cannot be P, and it cannot be S.
Step 2: Use the clue about Team Q
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The problem states: "Q has beaten the teams in E, C and A."
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Since Q beat the team in A, Q itself cannot be the team located in A.
Step 3: Identify the remaining team
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We have five teams: P,Q,R,S,T.
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From Step 1, we eliminated: P,R,S.
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From Step 2, we eliminated: Q.
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The only team left for Town A is T.
Summary Table:
| Town |
Possible Team(s) |
Reasoning |
| B |
R |
Directly stated in the problem. |
| A |
T |
Cannot be R,P,S (they were beaten by A) and cannot be Q (it beat A). |
Correct Option: 4. T