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Statement 1: Take m = 6, so m/2 =3 not an even integer, in fact any value divided by 2 if it gives a odd result, then initial number must be multiple of even. Because either Even/Even or Odd/Odd can result in odd number and as 2 is even so numerator should be even as well. So this can answer that m is not odd.
Statement 2: Take m = 7, so m - 3 = 4. Infact any number is substracted by 3 resulting in even number should be odd. Because odd - odd = even. So this can also answer m is odd.
As both statements can independently answer, so Answer D.