The integers m and p are such that 2 < m <p.
m is not a factor of p. r is the remainder when p is divided by m.
Q: Is r more than 1?
1) The greatest common factor of m and p is 2.
2) The least common multiple of m and p is 30.
1. if the gratest common factor of m and p is 2, then m and p, both, are even. m and p can not be 4 and 8 cuz in that case the common factor is 4 not 2. therefore in that case r is obviously grater than 1. suff.
2. if the least common multiple of m and p is 30, m and p could be 5 and 6 respectively ot they could be 3 or 10 respectively or 15 and 30. so not suff.