To answer this question, let's analyze each statement made by Richard on three successive days:
Day 1: "I lie on Monday and Tuesday."
This statement means that Richard is lying on Monday and Tuesday. Since Richard lies on six days of the week, this statement is consistent with his lying behavior.
Day 2: "Today, it's Thursday, Saturday, or Sunday."
This statement is a bit tricky. If Richard is telling the truth, then it must be either Thursday, Saturday, or Sunday. However, since Richard only tells the truth on the seventh day, this statement is inconsistent with his lying behavior. Therefore, Richard is lying on Day 2.
Day 3: "I lie on Wednesday and Friday."
This statement means that Richard is lying on Wednesday and Friday. Since Richard lies on six days of the week, this statement is consistent with his lying behavior.
Based on the statements made by Richard, we can conclude that Richard tells the truth on the day after the second lie. Since Richard lied on Day 2, the day after the second lie is Day 3. Therefore, Richard tells the truth on Tuesday.
The correct answer is D) Tuesday.