Correct Answer - Option 2 : 174
The logic followed here is,
Sum of the cube of first number and square of second number i.e.,
I → 43 + 52 = 64 + 25 = 89
II → 73 + 32 = 343 + 9 = 352
Similarly, III → 53 + 72 = 125 + 49 = 174
Therefore, 174 is the correct answer.