Mina always tell lies on Monday, Tuesday, Wednesday. The other day while Mina does not tell lies. Tina also tell lies on Thursday, Friday, Saturday. The other day while Tina also does not tell lies. When do they say "I'm going to tell lies tomorrow" ?
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Mina lies on Wednesdays, but not on Thursdays. Tina tells the truth on Wednesdays, but lies on Thursdays. That way, If Mina says that she will lie the next day on a Wednesday, she is already lying. If Tina says that she will lie the next day on a Wednesday, then she is telling the truth, and therefore lying the next day. It is the only way that they can overlap. Poorly worded question though.