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 1and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(17, 9, 132)

(24, 8, 136)​​

Given:

(17, 9, 132)

(24, 8, 136)

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

For, (17, 9, 132)

= (17 $$\times$$ 3) + 9²​ 

= 51 + 81

= 132

For,(24, 8, 136)

= (24 $$\times$$ 3) + 8²​ 

= 72 + 64

= 136

Now, we check each options.

Option (a): (16, 7, 118) (Not Follow)

= (16 $$\times$$ 3) + 7²​ 

= 48 + 49

= 97 $$\neq$$​ 118

Option (b): (28, 12, 144) (Not Follow)​

= (28 $$\times$$ 3) + 12²​ 

= 74 + 144

= 218 $$\neq$$ 144​

Option (c): (26, 6, 114) (Follow)​

= (26 $$\times$$ 3) + 6²​ 

= 78 + 36

= 114

Option (d): (18, 10, 160) (Not Follow)​

= (18 $$\times$$ 3) + 10²​ 

= 54 + 100

= 154 $$\neq$$​ 160

Thus, correct option is (c).