Richard is a strange liar. He lies on six days of the week, but on the seventh day he always tells the truth. He made the following statements on three successive days: Day 1: "I lie on Monday and Tuesday." Day 2: "Today, it's Thursday, Saturday, or Sunday." Day 3: "I lie on Wednesday and Friday." On which day does Richard tell the truth?

general knowledge math & puzzles

  1. Monday

  2. Tuesday

  3. Thursday

  4. Saturday

Show answer
Correct Option: B

AI Explanation

To answer this question, let's analyze each statement made by Richard on the three successive days:

Day 1: "I lie on Monday and Tuesday." If Richard is telling the truth, then he lies on Monday and Tuesday. However, if he is lying, then he does not lie on Monday and Tuesday. This statement contradicts itself, so we can conclude that Richard is lying on Day 1.

Day 2: "Today, it's Thursday, Saturday, or Sunday." If Richard is telling the truth, then it must be either Thursday, Saturday, or Sunday. However, if he is lying, then it is not Thursday, Saturday, or Sunday. This statement is consistent and does not contradict itself. Therefore, Richard is telling the truth on Day 2.

Day 3: "I lie on Wednesday and Friday." If Richard is telling the truth, then he lies on Wednesday and Friday. However, if he is lying, then he does not lie on Wednesday and Friday. This statement contradicts itself, so we can conclude that Richard is lying on Day 3.

From the analysis above, we can determine that Richard tells the truth on Day 2. Therefore, the correct answer is B) Tuesday.

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