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First Round

Netherlands counting and probability

Problem

Each of Kwik, Kwek, and Kwak is lying on two consecutive days of the week and is telling the truth on the other five days. No two of them are lying on the same day. Uncle Donald wants to know who of his nephews ate his sweets. The three nephews know all too well who did it. On Sunday, Kwik says that Kwek ate the sweets. On Monday, Kwik says that it actually was not Kwek who ate the sweets, while Kwak claims that Kwik is innocent. On Tuesday, however, Kwak says that it was Kwik who ate the sweets. Who ate the sweets? A) It was Kwik. B) It was Kwek. C) It was Kwak. D) It was either Kwik or Kwek, but you cannot determine who of the two. E) It was either Kwik or Kwak, but you cannot determine who of the two.
Solution
C) It was Kwak.
Final answer
C

Techniques

Logic