1, Statement 2 and Statement 5 are either both truths or both lies.
2. Statement 3 and Statement 5 are either both truths or both lies.
3. Exactly two of the statements are truths.
4. Statement 1 and Statement 2 are either both truths or both lies.
5. Statement 3 is a lie.
Which statements are true and which are false?
no one has got it right so far.
for anyone saying that the only statement which is wrong is 3, you're doing a mistake because statement two says statement 3 and 5 are either both true and false. if both are true, there is a contradiction. if both are false, then it's not all the other 4 statements excluding the third that are correct.
i'm impressed because this is extremely easy to figure out.
There can only be 1 real Solution for this without contradicting Oneanother
And Sparks here gave it to you
I'll explain how his Answer is Accurate
If Statement 1 is true then both 2 and 5 are either both false or true, if we consider them both true then statement 5 and 3 would end up conradicting one another, but if we consider both 2 and 5 false then it would result like this
1-True "2 and 5 being false"
2-False "meaning only 1 statement is true here either 3 or 5, we already etablished 5 is false so 3 must be true"
3-True
4-False "because statement 1 and 2 arent both lies or truth, 1 of them is right 1 of them is true"
5-False "already etablished"
Statement 3 states that exactly 2 statements are true and we have proved that here
Statement 5 says 3 is a lie which means statement 5 is a lie considering above
So there you go, all other Solutions have 1 or 2 contradictions in them except this
But since you act like everyone has been wrong so far and you are so clever, why dont you Give us your Solution so I can correct you?