Are you a truth seeker?

Logic Level 2

Which of the following statements is/are true?

A: There is only one true statement.

B: "A" is telling the truth.

C: "B" is lying.

D: This statement is true.

B and C D and B C and D D only B only A and B C only A only

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2 solutions

It can't be A A , because it says that there is only one true statement, if it is true, it is the only correct statement, but the B B statement will be true too, so there is a contradition.

As A A is false, B B is false too and C C is true, because it says that B B is lying.

D D is true because A A is false, so there are more than one true statement.

The answer is C and D C \ \text{and} \ D .

Freddie Zhang
Jun 18, 2019

The answer cannot be A, because if it is correct, then B will be true too. Because that A is wrong, and B is wrong too, C must be right. D is true beacuse A is false, as it says that there is only 1 true statement. Now, there are 2 possibilities here: either nothing is right, or more than 1 statement is right. So, D must be right.

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