as many posters have already noted, the correct answer to this problem is (d).
you guys can rest easy re: the trick thing. i simply can't imagine that the gmat would actually include a cheap shot such as statement (ii), which is only true when k = 0.
there are two grammatical hurdles there: first of all, it distinctly says "integers" (plural), and, second of all, it distinctly says "smallest" (-est implies 3 or more numbers).
yes, it's true that mathematicians would respond that "k consecutive integers" can include the case of 1 "consecutive" integer, and that the smaller of 2 numbers, or 1 singleton number itself, is subsumed under "smallest".
but the gmat simply doesn't include problems that depend this much on word-twisting.
doesn't hurt to know, though.
Ron has been teaching various standardized tests for 20 years.
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