Unique property Riddle

What is the unique property of the following words ?
* Revive
* Banana
* Grammar
* Voodoo
* Assess
* Potato
* Dresser
* Uneven




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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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B: A is telling the truth.

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Before reading ahead, you must know the fact that only one of the people here is telling the truth.

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