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What is the source? As nick says, this is not a good question. It's not clear if Statement 1 means "A - B = 0.2B", in which case it's sufficient, or if it means |A - B| = 0.2B, in which case it's not sufficient. Under either interpretation, the two Statements are contradictory (no value of B works for both), and that can never happen on a real GMAT DS question. And even the wording of the question itself is bizarre. The letter B automatically stands for a single (at first, unknown) value. It can't stand for more than one value. So it is completely redundant to ask for "the unique value" of B. The question "what is the value of B?" means the same thing - information is sufficient if you can find the single numerical value of B, and is not sufficient if there is more than one possible numerical value of B. The wording here makes me wonder why the question writer thinks the words "unique value" need to be included - does the question writer think, if those words are left out, that a statement giving two solutions for B would be sufficient? It would never be, on the real GMAT. But if the source producing this question is unclear on that point, I'd recommend using study material written by someone who better understands the test.
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