In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is 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 : 56 :: 11 : Y

Option A: 7 : 56 :: 11 : 132

For7 : 56:

7 × (7 + 1) = 7 × 8 = 56 (This is correct.)

For11 : 132:

11 × (11 + 1) = 11 × 12 =132 (This is also correct.)

So, Option A is correct.

Option B: 7 : 56 :: 11 : 144

For 7 : 56:

7 × (7 + 1) = 7 × 8 = 56 

For11 : 144:

11 × (11 + 1) = 11 × 12 = 132  ≠ 144.

So, Option B is incorrect.

Option C: 8 : 56 :: 8 : 72

For 8 : 56:

8 × (7 + 1) = 8 × 8 = 64 

For 8 : 72:

8 × (8 + 1) = 8 × 9 =72 

So, Option c is incorrect.

Thus, correct option is (a).

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