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Just a thought, if the question had not mentioned n to be a positive integer, then we could have had 4 scenarios for n= -21, -12, 12 & 21 and the question would have been a bit tricky. Do you have similar kind of question?

(1) n is odd - n can be even or odd, insufficient (2) n > 20 - n can be < 20 or > 20, insufficient

(1) + (2) = n is odd + n > 20 = 21, sufficient

I'd recommend reviewing the steps of Data Sufficiency, using something like this: https://www.manhattanprep.com/gmat/blog ... ncy-works/. You've ended up approaching this one a little backwards. You aren't trying to test the statements to see whether they're true or not. You start by assuming that the statement you're working with is true. Then, based on that, you try to answer the question.

When we work with statement 1, we start out by saying 'I know that n is odd.' n is definitely odd; the statement always tells the true. Now, you're wondering whether knowing that n is odd is enough information to narrow down the possible answers to just one right answer. In this case, it is. Since there were only two possible answers in the first place, 12 and 21, and statement (1) eliminates one of those two possible answers, it's sufficient.
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Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online