Find the greedy pig sequel I

Logic Level 2

One day, there was a piece of cake meant for Eric. However, it went missing. His parents, Mr and Mrs Tan, suspected that one of his siblings ate the piece of cake and so questioned them. Here were their answers:

Charles: It wasn't Darius. It was Brenda.
Darius: It was Alfred. Or maybe it was Brenda.
Brenda: It wasn't Charles. Neither was it Alfred.
Alfred: It wasn't Brenda. It was Charles.

Each of them made exactly ONE true and ONE false statement. Who ate the piece of cake?

Brenda Alfred Charles Darius

2 solutions

Noel Lo
Dec 28, 2015

The easiest way would be to look at Darius' and Brenda's statements. Since one of Darius' statments was true, the culrpit MUST be either Alfred or Brenda. Similarly, since one of Brenda's statements was false, the culprit MUST be either Alfred or Charles. The intersection of these two sets would be Alfred himself.

Saya Suka
Feb 12, 2021

We can do the suppositions method, but there is a shortcut with the structure of 1 truth + 1 lie each by all the siblings. Where we have 2 accusations or 2 denials together, and the information that the truth values came in pairs, you can be sure that the true accusation and the false denial would both be involving the true criminal, thus the guilty sibling's name would came up twice between these 2-of-a-kinds comparisons. As we can already see, both Darius (with his accusing nature) and Brenda (with her defensively protective one) mutually mentioned a common common name amongst the 4 together, and that name Alfred.

Find the greedy pig sequel I

2 solutions

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