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)

(12, 26, 57)

(13, 27, 60)

(12, 26, 57)

(13, 27, 60)

Logic: Sum of first and second number is divided by 2 and then the result is multiplied by 3 to get third number.

As,

(12, 26, 57)

[(12+26)÷2]×3= [38÷2]×3 = 19×3 = 57

and

(13, 27, 60)

[(13+27)÷2]×3= [40÷2]×3 = 20×3 = 60

Now,

Check option (a). (8, 91, 83)

[(91+8)÷2]×3= [99÷2]×3 ≠83

Here, 99 is perfectly not divisible by 2.

So, its not correct option.

Check option (b). (19, 25, 66)

[(19+25)÷2]×3= [44÷2]×3 = 22×3 = 66

So, its correct option.

Check option (c). (17, 21, 38)

[(17+21)÷2]×3= [38÷2]×3 = 19×3 = 57

So, its not correct option.

Check option (d). (45, 64, 119)

[(45+64)÷2]×3≠119

[109÷2]×3≠119

Here, 109 is perfectly not divisible by 2.

So, its not correct option.

Thus, correct option is (b).