Select the set in which the numbers are related in the same way as are the numbers of the following set.
(13, 29,89)

Given Set : (13, 29,89)

The pattern followed here is : 

13, $$\left(\left(13\times\ 2\right)+3\ =29\right)$$ , $$\left(\left(29\times\ 3\right)+2\ =89\right)$$

Lets check Option wise which option will follow the same pattern, 

Option A : (8, 19, 61)

$$\left(\left(8\times\ 2\right)+3\ =19\right)$$, $$\left(\left(19\times\ 3\right)+2\ \ne\ 61\right)$$

Option A is incorrect.

Option B : (7, 23, 49)

$$\left(\left(7\times\ 2\right)+3\ \ne\ 23\right)$$, 

Option B is incorrect.

Option C : (11, 25, 77)

$$\left(\left(11\times\ 2\right)+3\ =\ 25\right)$$, $$\left(\left(25\times\ 3\right)+2\ =\ 77\right)$$

Option C is correct.

Option D : (5,13,40) 

$$\left(\left(5\times\ 2\right)+3\ =\ 13\right)$$, $$\left(\left(13\times\ 3\right)+2\ \ne\ 40\right)$$

Hence, Option C is incorrect.