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Statements: If all players play to their full potential, we will win the match. We have won the match.

Conclusions:

1. All players played to their full potential.

2. Some players did not play to their full potential.

  • A.Only conclusion I follows
  • B.Only conclusion II follows
  • C.Either I or II follows
  • D.Neither I nor II follows
  • E.Both I and II follow

Answer: A

Correct answer: Neither I nor II follows

The statement gives one direction only: full effort would bring a win. Winning does not prove that the effort was made, since a match may be won in other ways - to argue back from the result is the fallacy of affirming the consequent. Conclusion II fails for the same reason, in the opposite direction. Neither follows.

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