Correct Answer - Option 1 : 7 ∶ 105
The logic followed here is:
The first number × (first number + next number) = Second number.
For 5 ∶ 55
= 5 : 5 × (5 + 6)
= 5 : 5 × 11
Option 1 → 7 ∶ 105
= 7 : 7 × (7 + 8)
= 7 : 7 × 15
= 7 : 105
Option 2 → 4 ∶ 32
= 4 : 4 × (4 + 5)
= 4 : 36 ≠ 32
Option 3 → 8 ∶ 200
= 8 : 8 × (8 + 9)
= 8 : 136 ≠ 200
Option 4 → 6 ∶ 90
= 6 : 6 × (6 + 7)
= 6 : 78 ≠ 90
Hence, the correct answer is "7 ∶ 105".