Question:

Three persons A, B and C gave these statements:
A said, either Freedom Party or Green Party won the elections.
B said, Freedom Party won.
C said, neither Freedom Party nor Green
Party won the elections.
Of these persons, only one person is wrong.
Who won the elections?

Updated On: Sep 3, 2025
  • Freedom Party
  • Green Party
  • Data Inadequate
  • None of these
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The Correct Option is A

Solution and Explanation

To determine which party won the elections, we need to analyze each statement given by A, B, and C and identify which person is wrong, as only one is incorrect.
Let's evaluate their statements one by one:
  1. A said: "Either Freedom Party or Green Party won the elections." This implies if A is correct, Freedom Party or Green Party must have won.
  2. B said: "Freedom Party won." This statement directly asserts that Freedom Party won the elections.
  3. C said: "Neither Freedom Party nor Green Party won the elections." This contradicts A's statement entirely, as C is saying neither party won.
Now, let's consider the cases where each person might be wrong and analyze the outcomes:
  1. If A is wrong, then neither Freedom Party nor Green Party won, which means C is correct. Hence, B must also be wrong because B and C’s statements are mutually exclusive.
  2. If B is wrong, then Freedom Party did not win. This implies C is correct, and therefore, A must also be wrong since Green Party did not win either (according to C).
  3. If C is wrong, then either Freedom Party or Green Party won. A said one of these parties won. B said Freedom Party specifically won. So, if C is wrong, Freedom Party must have won to satisfy both A and B.
Hence, the only scenario where only one person is wrong is when C is wrong, meaning Freedom Party won the elections.
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