Statement (1) is correct, as additive inverse of - 121/10 is 121/10, which is greater than 10.
Statement (2) is incorrect, as multiplicative inverse of 10/18 is 18/10, which is more than 1.
Statement (3) is correct, as sum of a number and its additive inverse is 0.
Statement (4) is incorrect, as product of a number and its multiplicative inverse is 1.
Therefore, both (1) and (3) are correct.