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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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