Select the option in which the numbers are related in the same way as are the numbers of the following set.

{9, 12, 18}

{13, 19, 31}

{9, 12, 18}

The logic followed here is :

(IInd number - Ist number) ×2 = IIIrd number - Ist number

As

(12 - 9) × 2 = 18 - 12

3 × 2  = 6

6 = 6

Similarly BY checking options

{7, 13, 27}

(13 - 7) × 2 = 27 - 13

6 × 2  = 14

12 ≠ 14 (not correct)

{21, 29, 44}

(29 - 21) × 2 = 44 - 29

8 × 2  = 44

16 ≠ 15 (not correct)

{5, 12, 24}

(12 - 5) × 2 = 24 - 12

7 × 2  = 12

14 ≠ 12 (not correct)

{13, 19, 31}

(19 - 13) × 2 = 31 - 19

6 × 2  = 12

12 = 12 ( correct)