Jim lies a lot. He tells the truth on only one day in a week.
One day he said: "I lie on Mondays and Tuesdays."
The next day he said: "Today is either Sunday, Saturday or
Thursday."
The next day he said: "I lie on Fridays and Wednesdays."
On which day of the week does Jim tell the truth?
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Answer Posted / manish kumar yadav
Stmt 1 = He lies on Monday and Tuesday.
stms 2 = on next day "Today is sunday,saturday or thusday.
stmt 3 = on next day "he lies on Friday and wednesday.
Assume he tells truth on day X and remember he lies on (X+1) th and( X+2) th day.
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If the day X = Monday
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stmt1 : he lies on monday, so on the same day he cannot tell that he lies or say truth.
because if he says he lies on monday if he was suppose to say truth on tuesday it will be contradicting in same manner if he was to lie on that day but he tells truth. so X cannot be Monday
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if X= Tuesday
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same as above...
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if X = Wednesday
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then X+1 and X+2 day he must lie.
so what he tells on x+1 day is next day can be sunday, saturday, Thursday. Here next day is Thursday so this condition is false.
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if X = Thursday
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X+1 day will be Friday and what he tells on X+1 th day is "Today is sunday,saturday or thusday"(HE LIES HERE)((TRUE)) so in accordance to our assumption this condition is true for us
and on X+2 th day will be Saturday (For this one Read below)
in stmt 3 he told today is friday or wednesday so as taking the same condition as monday and tuesday he cannot say truth or lie on Friday or wednesday i.e if X+2 id friday or wednesday he cannot do anything so in above X+2 our assumption fits well and he lies on Saturday too.
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if X= Friday Explained as above
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if X= Saturday (if he says truth on saturday)
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then X+1 will be Sunday but acc to stmt 2 our assumption fails because what he told is true and he cannot tell truth on two days.
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if X= Sunday
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then X+1 must be Monday.
and on X+2 day must be wednesday but stmt 3 fits well with what he said and he can say truth on only one day in a week either monday or sunday so this condition also fails ....
=============================Conclusion=============
so only solution is X= thursday...
HE DOESN'T LIE ON THURSDAY
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