Subject

    Quantitative Aptitude

    Topic

    Number

    What should come in place of the question mark (?) in the following number series? 12,1,112,2,212,3,?\frac{1}{2},1,1\frac{1}{2},2,2\frac{1}{2},3,?

    ক)
    \(3\frac{1}{2}\)
    খ)
    \(2\frac{1}{3}\)
    গ)
    4
    ঘ)
    \(3\frac{1}{4}\)
    ঙ)
    None of these

    Explanation

    The pattern of the given number series is as: → 1/2, →  12+12=1,\to {\rm{\;}}\frac{1}{2} + \frac{1}{2} = 1, →    1+12=112  ,\to \;\;1 + \frac{1}{2} = 1\frac{1}{2}\;, →  112+12=2,\to \;1\frac{1}{2} + \frac{1}{2} = 2, →  2+12=212,\to \;2 + \frac{1}{2} = 2\frac{1}{2}, →  212+12=3,\to \;2\frac{1}{2} + \frac{1}{2} = 3, →  3+12=312\to \;3 + \frac{1}{2} = 3\frac{1}{2} Hence, the required term of the given number series is 3123\frac{1}{2}

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