Correct Answer - Option 2 : 12 : 121
The pattern followed is,
8: 49 → 8 – 1 = 7, 72 = 49
So,
8: 49
Similarly,
Option 1 → 9: 87 → 9 – 1 = 8, 82 = 64, not 87
Option 2 → 12: 121 → 12 – 1 = 11, 112 = 121
Option 3 → 13: 170 → 13 – 1 = 12, 122 = 144, not 170
Option 4 → 15: 210 → 15 – 1 = 14, 142 = 196, not 211
’12: 121’ share the same relationship as that shared by the given number-pair.
Hence, “12: 121” is the correct answer.