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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 / guest
Jim tells the truth on Tuesday.
As Jim tells truth only on one day in a week, his statement
on day 1 and day 3 both can not be false. Otherwise he tells
truth on more than one days in a week. Also, all three
statements are mad on three consecutive days, statement made
on day 1 and day 3 both can not be true. Thus, either the
statement made on day 1 or day 3 is true and other is false.
Also, the statement made on day 2 must be false i.e. day 1
is not Saturday, Friday or Wednesday.
Let's assume that the statement 1 is true. Then from the
statement 3, day 1 must be either Friday or Wednesday. But
it is already deduced that day 1 is not Saturday, Friday or
Wednesday.
Hence, the statement made on day 1 is false and the last
statement is true. then from the statement 1, day 3 must be
either Monday or Tuesday. But it is already deduced that day
1 can not be Saturday i.e. day 3 can't be Monday. Hence, Jim
tells the truth on Tuesday.
| Is This Answer Correct ? | 35 Yes | 4 No |
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