If m and n are both two-digit numbers, and m-n = 11X, is X an integer?
(1) The tens digit and the units digit of m are the same
(2) m+n is a multiple of X
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I'll take a try at this..
Statement 1 alone tells you that m can be 11, 22, 33, 44, 55,.. and so on, but it doesn't tell you anything about the other variables.
This narrows your options to BCE
Statement 2 alone is not sufficient because we don't know what m and n are. (remember to ignore statement 1)
If we combine both statements, we know m is an integer. If n as an integer than yes, X would be an integer. If n was a non-integer then X would not an integer. Since there is no explicit "Yes" or "No" response to the question then the statements are not sufficient to answer the problem. I think E is the right answer, Am I right?
