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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should rep
Question

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: 114:: 26:Y

A.

X = 31, Y = 72

B.

X = 39, Y = 86

C.

X = 38, Y = 78

D.

X = 42, Y = 84

Correct option is C

Given: X : 114 :: 26 : Y
Logic: 1st number × 3 = 2nd number, 3rd number × 3 = 4th number.
Let's check all the options: 
Option (a): X = 31, Y = 72
New analogy will be 31 : 114 :: 26 : 72
31 × 3 = 93 ≠ 114, 26 × 3 = 78 ≠ 72 (Not follow)
Option (b): X = 39, Y = 86
New analogy will be 39 : 114 :: 26 : 86
39 × 3 = 111 ≠ 114, 26 × 3 = 78 ≠ 86 (Not follow)
Option (c): X = 38, Y = 78
New analogy will be 38 : 114 :: 26 : 78
38 × 3 = 114, 26 × 3 = 78
Option (d): X = 42, Y = 84 (Follow)
New analogy will be 42 : 114 :: 26 : 84
42 × 3 = 126 ≠ 114, 26 × 3 = 78 ≠ 84 (Not follow)
Thus, the correct option is (c) X = 38, Y = 78.

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