Select the option in which the numbers are related in the same way as are the numbers of the following set. {9, 12, 18}

Explanation

Given: {9, 12, 18} The logic followed here is: (2nd number - 1st number) × 2 = 3rd number - 2nd number. {9, 12, 18} → (12 - 9) = 3 → 3 × 2 = 6 = (18 - 12) By checking options: (1) {21, 29, 44} → (29 - 21) = 8 → 8 × 2 = 16 ≠ 15 = (44 - 29) (2) {5, 12, 24} → (12 - 5) = 7 → 7 × 2 = 14 ≠ 12 = (24 -12) (3) {13, 19, 31} → (19 - 13) = 6 → 6 × 2 = 12 = (31 - 19) (4) {7,13, 27} → (13 - 7) = 6 → 6 × 2 = 12 ≠ 14 = (27 - 13). Hence, {13, 19, 31} is the correct answer.