Right answer is (b) If all of the output are independent of the inputs
The explanation is: If the input is either 0, 0, 0 or 0, 0, 1 then the output will be 0 (i.e. independent of input) and if the input is either 1, 1, 0 or 1, 1, 1 then the output is 1 (i.e independent of input). Such situation is known as carry generate combinations.