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/deleting/multiplying etc. to 13 can be performed. Breaking Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(6, 36, 144)
(9, 81, 324)​​

(6, 36, 144)
(9, 81, 324)​​

Logic: Square of 1st number = 2nd number and 2nd number $$\times$$ 4 = 3rd number

For, (6, 36, 144)

6²= 36, 36 $$\times$$​ 4 = 144

For, (9, 81, 324)​​

9²= 81, 81 $$\times$$​ 4 = 324

Now, we check each options.

Option (a): (14, 196, 764) (Not Follow)

14²= 196, 196 $$\times$$​ 4 $$\neq$$ 764

Option (b): (14, 196, 784) (Follow)​

14²= 196, 196 $$\times$$​ 4 = 784

Option (c): (14, 186, 784) (Not Follow)​

14²$$\neq$$​ 186, 186 $$\times$$​​ 4 $$\neq$$​ 784

Option (d): (15, 195, 784) (Not Follow)​

15²​$$\neq$$ 195, 195 $$\times$$ 4 $$\neq$$ 784

Thus, correct option is (b).