Select the set in which the numbers are related in the same way as are the numbers ofthe 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)

(25, 75, 200)

(36, 24, 240)​​

Given: 

(25, 75, 200)

(36, 24, 240)

Logic: 3rd number - 2nd number  = $$(\sqrt {1st number})^3$$

For, (25, 75, 200)

200 - 75 = $$(\sqrt{25})^3$$ 

For, (36, 24, 240)​​

240 - 24 = $$(\sqrt {36}^3)$$ 

Now, we check each options.

Option (a): (35, 45, 185) (Not Follow)

185 - 45 $$\neq$$ $$(\sqrt {35}^3)$$​​

Option (b): (16, 18, 98) (Not Follow)​

98 - 18 $$\neq$$ $$(\sqrt {16}^3)$$​​

Option (c): (64, 55, 457) (Not Follow)​

457 - 55 $$\neq$$ $$(\sqrt {64}^3)$$​​

Option (d): (49, 50, 393) (Follow)​

393 - 50 = $$(\sqrt {49}^3)$$​​

Thus, correct option is (d).