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

(9, 83, 164)

(4, 18, 34)

(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.)​​

​​Given:

(9, 83, 164)

(4, 18, 34)

2nd number = (1st number)² + 2

3rd number = (2nd number × 2) − 2

​(9, 83, 164)

9² + 2 = 81 + 2 = 83 

83 × 2 − 2 = 166 − 2 = 164 

(4, 18, 34)

4² + 2 = 16 + 2 = 18 

18 × 2 − 2 = 36 − 2 = 34 

A) (5, 27, 56)

5² + 2 = 25 + 2 = 27 

27 × 2 − 2 = 54 − 2 = 52 ≠ 56

B) (6, 38, 74) (Follows)

6² + 2 = 36 + 2 = 38 

38 × 2 − 2 = 76 − 2 = 74 

C) (11, 122, 242)

11² + 2 = 121 + 2 = 123 ≠ 122

D) (13, 167, 334)

13² + 2 = 169 + 2 = 171 ≠ 167

Thus, correct option is (b).