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 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 : 72 :: 22 : Y

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  1. X = 12, Y = 132
  2. X = 18, Y = 132
  3. X = 18, Y = 96
  4. X = 12, Y = 110

Answer (Detailed Solution Below)

Option 1 : X = 12, Y = 132
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Detailed Solution

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The logic followed here is:

Logic: 1st number × 6 = 2nd number.

For, X : 72

⇒ X × 6 = 72

⇒ X = 72 ÷ 6 = 12.

Similarly,

For,  22 : Y

⇒ 22 × 6 = Y

⇒ 132 = Y.

Thus, X = 12, Y = 132

Hence, the correct answer is "Option 1".

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