Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(5, 11, 45)
(7, 13, 53) ​​​

Given: 

(5, 11, 45)
(7, 13, 53) ​

Logic: (1st number + 2nd number) $$\times$$ 2 + 13 =3rd number

For, (5, 11, 45)

(5 + 11) $$\times$$​ 2 = 32, 32 + 13 = 45

For, (7, 13, 53)  

(7 + 13) $$\times$$ 2 = 40, 40 + 13 = 53

Now, we check each options.

Option (a): (13, 7, 29) (Not Follow)

(13 + 7) $$\times$$​ 2 = 40, 40 + 13 $$\neq$$​ 29

Option (b): (9 15, 69) (Not Follow)​

(9 + 15) $$\times$$​ 2 = 48, 48 + 13 $$\neq$$​ 61

Option (c): (6, 12, 49) (Follow)​

(6 + 12) $$\times$$​ 2 = 36, 36 + 13 = 49

Option (d): (8, 14, 55) (Not Follow)​

(8 + 14) $$\times$$​ 2 = 44, 44 + 13 $$\neq$$​ 57

Thus, correct option is (c).