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Who’s the girlfriend?


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Vanessa and Eve have to be of opposite kinds.

If V is True -> E is Lie -> A is True -> M the gf and a liar -> V is sister which leads to contradiction since V & A have to be innocent

So, V is Liar -> E is True -> A is Liar -> M is True -> V is not sister. Since E & M are innocent, that leaves Amanda as sister.

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eva and amanda are against, id amanda is truthful then melinda is girlfriend, and venessa is sister and eva is truthful but both amanda and eva cant be truthful. hence amanda is a liar and melinda is not the girlfriend and hence eva is tuthful but venessa tries to tell her a liar, hence venessa is also a liar and makes melinda truthful. hence venessa is not the sister, as per melinda and hence amanda is the sister

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Let us assume Amanda is true. Then Melinda would be his GF, and lying; so vanessa might be his sister. And if Vanessa was his sister, then her statement that "Eva is lying" is not true, which means Eva was telling truth. And if Eva was true then Amanda becomes a lier which contradicts our first assumption that Amanda is true.

Therefore Amanda Must be lying.

So Melinda is not his GF.

Then Melinda is either his sister or the Innocent girl. Assuming Melinda his sister, her statement "Vanessa is not his sister" would become true which must be false according to OP.

Hence Melinda Must be innocent Girl, and true.

Then Vanssa is not his sister. So Vanessa was either his GF or innocent girl.

Assuming Vanessa as innocent girl, her statement "Eva is lying" would become true; meaning Eva was lying and Amanda was telling truth --- but it contradicts our first conclusion that Amanda is lying.

Therefore Vanessa is his Girl Friend.

There is one more logical approach to this problem....! First let me know whether this is right solution...?

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