(1) The unit’s place digit of 129
121+ 7867 = Unit’s place digit of 129
121 + Unit’s place digit of 78
67 = Unit’s place digit of 9
121 + Unit’s place digit of 8
67= Unit’s place digit of 9
1 + Unit’s place digit of 8
3 (since the order of cycles of 9 and 8 are 2 and 4, respectively)
∴Unit’s place digit of (9 + 2) = 1