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Question

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?

The correct answer is

D

Finding Cricket Team Q Location

This problem requires us to determine the specific town where cricket team Q is located, based on a set of given facts about different cricket clubs and their locations.

Understanding the Setup

We have five towns, labelled A, B, C, D, and E. Each of these towns has exactly one cricket team, named P, Q, R, S, or T. The teams are not necessarily located in towns corresponding to the alphabetical order of their names.

Analyzing the Clues

Let's break down the information provided:

  • Clue 1: The team located in town A has defeated teams R, P, and S.
  • Clue 2: Team Q has defeated the teams located in towns E, C, and A.
  • Clue 3: Team R is located in town B.
  • Clue 4: The team located in town C is not team S.

Step-by-Step Deduction for Team Q

We can systematically eliminate possible locations for team Q using the clues:

  1. Focus on Team Q's Victories: Clue 2 states that team Q defeated the teams *in* towns E, C, and A. This is a crucial piece of information. If Q defeated the teams located in these towns, it means Q itself cannot be located in town E, town C, or town A.
  2. Consider Team R's Location: Clue 3 tells us definitively that team R is in town B.
  3. Eliminate Town B for Q: Since team R is in town B, and each town hosts only one team, team Q cannot be in town B.
  4. Consolidate Exclusions: Based on the steps above, we have determined that team Q is *not* located in the following towns:
    • A (from Clue 2)
    • B (because R is in B, from Clue 3)
    • C (from Clue 2)
    • E (from Clue 2)
  5. Identify the Remaining Possibility: We started with five towns: A, B, C, D, and E. We have successfully ruled out A, B, C, and E as the location for team Q.
  6. Final Placement: The only town left is D. Therefore, team Q must be located in town D.

Mapping Known Teams

We can summarize the known locations and deductions:

Town Team Key Information
A Unknown (Not R, P, S) Beat R, P, S
B R Given
C Unknown (Not S, Q) Did not beat Q (Implied)
D Q Deduced location
E Unknown (Not Q) Beat by Q

Clue 1 helps us understand team A's performance but doesn't directly pinpoint Q's location. Clue 4 (Team in C is not S) helps eliminate S from town C but isn't needed to find Q's location.

Conclusion on Team Q

Following the logical process of elimination based on the provided clues, we conclude that team Q is located in town D.

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Important Questions from Scheduling

  1. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Who teaches on Tuesday?

  2. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Which subject is taught on Thursday?

  3. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science. Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday. not necessarily in the same order.

    J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Who teaches on Saturday?
  4. J, K, L, M, N and O are six teachers. Each one teaches a different subject Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second day after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J.

    Which subject is taught between Thursday and Saturday?
  5. J, K, L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Arts on Saturday. L teaches neither English nor Social Science, but he teaches on Thursday. Wednesday is reserved for Maths taught by K. O teaches Science a day before N. Social Science is taught a day before Arts. Which subject is taught on the day between Science and Math?

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