One day Alice meets the Lion and the Unicorn in the Forest of Forgetfulness. She knows that the Lion lies on Mondays, Tuesdays, and Wednesdays, and tells the truth on the other days of the week. The Unicorn, on the other hand, lies on Thursdays, Fridays, and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice: Lion: Yesterday was one of my lying days. Unicorn: Yesterday was one of my lying days too. What day is it?

  1. Sunday

  2. Monday

  3. Friday

  4. Thursday


Correct Option: D

AI Explanation

To solve this problem, we need to analyze the statements made by the Lion and the Unicorn.

Let's consider each statement separately:

  1. Lion: Yesterday was one of my lying days. This means that if today is Monday, Tuesday, or Wednesday, the Lion is lying in this statement. If today is Thursday, Friday, Saturday, or Sunday, the Lion is telling the truth.

  2. Unicorn: Yesterday was one of my lying days too. This means that if today is Thursday, Friday, or Saturday, the Unicorn is lying in this statement. If today is Sunday, Monday, Tuesday, or Wednesday, the Unicorn is telling the truth.

Now let's analyze the possibilities:

  1. If today is Thursday, the Lion is telling the truth in his statement, but the Unicorn is lying in her statement. This contradicts the given information, so Thursday is not the correct day.

  2. If today is Friday, both the Lion and the Unicorn are telling the truth in their statements. This satisfies the given information, so Friday is a possibility.

  3. If today is Saturday, the Lion is telling the truth in his statement, but the Unicorn is lying in her statement. This contradicts the given information, so Saturday is not the correct day.

  4. If today is Sunday, both the Lion and the Unicorn are telling the truth in their statements. This contradicts the given information, so Sunday is not the correct day.

Considering these possibilities, we can conclude that the correct day is Friday (Option C).

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