Richard is a strange liar. He lies on six days of the week, but on the seventh day he always tells t - We know that Richard tells the truth on only a single day of the week. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. Since Richard tells the truth on only one day, these statements cannot both be untrue. So, exactly one of these statements must be true, and the statement on day 2 must be untrue. Assume that the statement on day 1 is true. Then the statement on day 3 must be untrue, from which follows that Richard tells the truth on Wednesday or Friday. So, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday. However, this would imply that the statement on day 2 is true, which is impossible. From this we can conclude that the statement on day 1 must be untrue. This means that Richard told the truth on day 3 and that this day is a Monday or a Tuesday. So day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday. So day 3 is a Tuesday. Therefore, the day on which Richard tells the truth is Tuesday. . - Logical & Aptitude Interview Questions and Answers

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Question: 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?

Answer: We know that Richard tells the truth on only a single day of the week. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. Since Richard tells the truth on only one day, these statements cannot both be untrue. So, exactly one of these statements must be true, and the statement on day 2 must be untrue. Assume that the statement on day 1 is true. Then the statement on day 3 must be untrue, from which follows that Richard tells the truth on Wednesday or Friday. So, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday. However, this would imply that the statement on day 2 is true, which is impossible. From this we can conclude that the statement on day 1 must be untrue. This means that Richard told the truth on day 3 and that this day is a Monday or a Tuesday. So day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday. So day 3 is a Tuesday. Therefore, the day on which Richard tells the truth is Tuesday. .

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Question: 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?

Answer:

We know that Richard tells the truth on only a single day of the week. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. Since Richard tells the truth on only one day, these statements cannot both be untrue. So, exactly one of these statements must be true, and the statement on day 2 must be untrue. Assume that the statement on day 1 is true. Then the statement on day 3 must be untrue, from which follows that Richard tells the truth on Wednesday or Friday. So, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday. However, this would imply that the statement on day 2 is true, which is impossible. From this we can conclude that the statement on day 1 must be untrue. This means that Richard told the truth on day 3 and that this day is a Monday or a Tuesday. So day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday. So day 3 is a Tuesday. Therefore, the day on which Richard tells the truth is Tuesday. . Source: CoolInterview.com

The opening line clearly states that Richard lies on six days a week and tells truth on 7th day. Since week begins on Monday & ends on Sunday i.e. seventh day, Richard tells truth on Sunday & lies on rest of the days Source: CoolInterview.com

Answered by: Vinay | Date: |

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since the week starts on monday and ends on saturday ,and as richard tells truth on seventh day of the week so he tells truth on "sunday" Source: CoolInterview.com

Answered by: Deep Dey Sarkar | Date: 4/16/2010 |

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Tuesday is the correct answer.
Day1(Sunday):Lies
I lie on Monday and Tuesday. Since Tuesady he doesn't lie.
Day2(Monday):Lies
Today, it's Thursday, Saturday, or Sunday.
Day3(Tuesday):Doesn't lie. Source: CoolInterview.com

Answered by: abhimanyu | Date: 5/10/2010 |

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ans: He tells truth on tuesdays
1.day 1 is sunday:he has to lie so he did that "i lie on monday and tuesday"
2,day 2 wil be monday: once again he has to lie he did" today is thrusday ,saturday or sunday"
3.day 3 tuesday: he has to be true:he did it "i lie on wednesday and friday" .. :P Source: CoolInterview.com

Answered by: Krishnarao | Date: 5/18/2010 |

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Tuesday is correct.Bcz day start from monday and end Sunday. Source: CoolInterview.com

Answered by: Rupan | Date: 5/25/2010 |

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Richard could lie all 3 days in a row. So if all are untrue, then to make his first statement a lie he says it on thrusday so that 2nd statement can also be a lie (as if he says is 1st statement on monday then his 1st statement will be untrue and if he says his 1st statement on tues then his 3rds statement will prove to be true). since we are assuming his 3rd statement is also a lie, his first statement has to be spoken on thru and to make the statement a lie he has to speak truth on either wed or friday, since friday is 2nd day he spoke lie hence wed is the day he speaks truth. Source: CoolInterview.com

Answered by: Priyanka | Date: 7/22/2010 |

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Day 2 and day 3 statements are lie.

Even though if we take tuesday as the answer A week doesnot ends in tuesday. so it cannnot be the answer.
Only on sunday he would speak truth. thereby the Day 1 stateemnt will be correct which can e sunday. Source: CoolInterview.com

Answered by: kavitha | Date: 9/1/2010 |

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