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    Question

    Select the related number from the given alternatives.

    42 : 12 :: 96 : ?
    A 42 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 51 Correct Answer Incorrect Answer
    D 54 Correct Answer Incorrect Answer

    Solution

    The logic followed here is as follows: Take the absolute difference of the square of the 1st digit and the 2nd digit of the first number to get the second number as shown below. AB : CD CD= ∣ (A)² − (B)² ∣ In '42 : 12': = ∣ (4)² − (2)² ∣ = ∣ 16 − 4 ∣ = 12 Similarly, in '96 : ?': = ∣ (9)² − (6)² ∣ = ∣ 81 − 36 ∣ = 45 So, '45' will replace the question mark.

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