Select the option in which the numbers are related in the same way as are the numbers in the given set. (8, 112, 49)

Explanation

The logic followed here is (8, 112, 49) → (√49 × 2) × 8 = (7 × 2) × 8 = 14 × 8 = 112 Option (1): (15, 85, 25) (√25 × 2) × 15 = (5 × 2) × 15 = 10 × 15 = 150 ≠ 85 Option (2): (16, 117, 81) (√81 × 2) × 16 = (9 × 2) × 16 = 18 × 16 = 288 ≠ 117 Option (3): (12, 48, 64) (√64 × 2) × 12 = (8 × 2) × 12 = 16 × 12 = 192 ≠ 48 Option (4): (7, 154, 121) (√121 × 2) × 7 = (11 × 2) × 7 = 22 × 7 = 154 Therefore (7, 154, 121) follows the logic. Hence, the correct answer is "Option (4)".