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    The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/
    Question

    The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs, except one. Find that odd number-pair.
    (NOTE: The relation should be found without breaking down the numbers into its constituent digits)

    A.

    225:169

    B.

    361:400

    C.

    529:576

    D.

    441:484

    Correct option is A


    Concept:
    All except option a follow the same pattern.
    192 : 202, 232 : 242, 212 : 222
    the second number is obtained by squaring the next integer after the integer whose square gives the first number (i.e., (n+1)2).
    Explanation:
    225:169
    225 is the square of 15.
    169 is the square of 13.
    361:400
    361 is the square of 19.
    400 is the square of 20.
    529:576
    529 is the square of 23.
    576 is the square of 24.
    441:484
    441 is the square of 21.
    484 is the square of 22.
    From the analysis, we can see:
    In pairs (b), (c), and (d), the second number is obtained by squaring the next integer after the integer whose square gives the first number (i.e., (n+1)2).
    In pair (a), both numbers are squares of two integers, but they do not follow the same pattern of consecutive squares.
    Therefore, the odd number-pair is (a) 225:169.

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