Official Solution:
Team X and Team Y compete in the same football league. Matches between them are played on the home ground of either team. Team X has never lost a match on its home ground when Jessi has played, while Team Y has never lost on its home ground.
Which of the following cannot be true about the most recent match played between Team X and Team Y?
A. If X won the match and Jessi played, the match was played on the home ground of X.
B. If Y lost the match and Jessi did not play, the match could not have been played on the home ground of X.
C. If the match was played on the home ground of Y and Jessi played, Y did not lose the match.
D. If Y won the match, the match was either played on the home ground of Y or Jessi did not play.
E. If the match was played on the home ground of X and Jessi played, X won the match.
Question stem:
Statement A. IF (Match at ground X AND Jessi play), THEN ( X not lose).
Statement B. IF (Match at ground Y), then (Y not lose).
A. MUST be true - Given X won the match---> Y lost--->conclusion: Match was NOT played on ground Y, hence MUST have been played on ground X (does not matter whether Jessi played or not)
B. MUST be false - Given Y lost the match---->conclusion: Match was NOT played on ground Y, hence MUST have been played on ground X (does not matter whether Jessi played or not)
C. MUST be true - Given Match on ground Y----> conclusion: Y did not lose ( does not matter whether Jessi played or not)
D. MUST be true - Given Y won the match ----> conclusion: (Match on ground Y) OR (Match on ground X AND Jessi did not play)
E. CAN be true - Given Match at ground X AND Jessi play---> X did not lose, either won or drawn.
Answer: B