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A. The number of false statements here is one.
B. The number of false statements here is two.
C. The number of false statements here is three.
D. The number of false statements here is four.
Which of the above statements is true?
How it was tricky & what were others?
One has to be true & other 3 must be false. Let's consider each case one by one.
Case A : According to this statement the number of false statement is 1 which is contrary to given condition that 1 is true & 3 are false. So it can't be true.
Case B : As per this, number of false statements = 2 which is again contrary to given condition of 3 false statements.So it can't be true.
Case C : As per this, number of false statements =3 exactly matching the given condition.
Case D : This implies number of false statements = 4 meaning that all the statements including itself are false. This is opposite to given condition. So this has to be false as well.
So the statement C is true & all other are false!
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?
 |
| Am I a liar? |
Find the truth here!
Source
What was his story?
To find the truth we need to logical deduction here.
Now if statement on Day 1 is untrue then Richard must be telling the truth on Monday or Tuesday.
And if Day 3 statement is untrue then he must be telling the truth on Wednesday or Friday.
But he speaks true only on 1 day. So both statements of Day 1 & Day 3 can't be true at the same time. If so, then Richard speaks true on 2 days either Monday/Tuesday or Wednesday/Friday. This means that one of statements from Day 1 must be true & other must be untrue. That also makes the statement on Day 2 untrue always.
Case 1 : Day 3 statement is untrue.
In this case, Richard must be telling truth on either Wednesday or Friday. The statement on Day 1 would be true according to above logical deduction. Hence Day 2 must be either Thursday or Saturday. In both cases, statement on Day 2 would be true.
Case 2 : Day 1 statement is untrue.
If
the statement made on Day 1 is untrue then Richard tells truth on
Monday or Tuesday. Other statement on Day 3 must be true means Day 3
must be either Monday or Tuesday. If so, then Day 2 must be either
Sunday or Monday. In case of Sunday, Day 2 statement would be true & in case of Monday Day 2 statement would be untrue. Hence Day 2 must be Monday & Day 3 must be Tuesday.
So Richard tells truth on Tuesday.
