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The smallest possible number is from the following condition
Let the books sold on Friday be B 90-38=B+(B-1)+(B-2)+(B-3)+(B-4)+(B-5)
All books sold - books sold on Saturday = The sum of the books for the rest of the week. Since no one day has the same number of books sold as another, to maximize the books sold in days other than Friday, they have to be (B-1)+(B-2)+(B-3)+(B-4)+(B-5)
In any case, solving the above equation you can get that B=11.1 Since books sold cannot be a decimal, it has to be at least 12.
Hence the answer choice is B
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