for the remainder of 3x +1 divided by 10 to be 0, x = 3, 13, 23,33( 3x-> the unit digit has be to 9)
from Statement A, it is clear x can never take these values, so the remainder can never be zero!..so A is sufficient
from Statement B, it is not clear as x can take any value greater than 4, so B is not sufficient
Eliminating choices, C, D, E, the only answer option is A