In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which number should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?

(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.)

X : 128 :: 146 : Y

Correct option is A

Given: X : 128 :: 146 : Y

Logic: 1st × 2 - 200 = 2nd Number 

From the given options - 

(a) X = 164 , Y = 92

164 × 2 - 200 = 328 - 200 = 128

146 × 2 - 200 = 292 - 200 = 92

Thus, the correct answer is (a).