Subject

    Quantitative Aptitude

    Topic

    Number

    What should come in place of the question mark (?) in the following number series? 1548  516   129   43     ?

    ক)
    11
    খ)
    10.75
    গ)
    9.5
    ঘ)
    12
    ঙ)
    None of these

    Explanation

    The pattern that the series is following can be shown easily in a diagram: 1548→÷3516→÷4129→÷3431548\mathop \to \limits^{ \div 3} 516\mathop \to \limits^{ \div 4} 129\mathop \to \limits^{ \div 3} 43 The above diagram means a term is divided by either 3 or 4 to get the next term. For example, 1548 when divided by 3 we get, 516. The divisor is oscillating between 3 & 4 in a manner like first 3 then 4 then again 3 then 4 and so on. That means to get the unknown term we have to divide 43 by 4. Because the previous operation was division by 3. ∴ The unknown term is 43 ÷ 4 = 10.75

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