The integers m and p are such that 2'<'m'<'p'>'1?

1) The greatest common factor of m and p is 2.
2) The Least common multiple of m and p is 30.



Statement 1 implies that m & p are even integers; therfore the remainder when p/m , the remainder r always is an integer greater than 2. SUFFICIENT.

2nd statement says LCM is 30. Consider 5 and 6, then r=1 (r=1). Consider 6 and 10, then r = 4 ('>'1). Consider 6 and 15, then r = 3 ('>'1). This is insufficient.
Therefore answer should be A