Correct Answer - Option 3 : 452
The logic followed here is,
Sum of the squares of the following numbers i.e.,
I → 14 is followed by 15 and 16 is followed by 17
152 + 172 = 225 + 289 = 514
II → 7 is followed by 8 and 9 is followed by 10
82 + 102 = 64 + 100 = 164
Similarly,
III → 13 is followed by 14 and 15 is followed by 16
142 + 162 = 196 + 256 = 452
Therefore, 452 is the correct answer.