Subject

    Quantitative Aptitude

    Topic

    Simplification

    What should come in place of the x in the following question? x49=35×4−402\frac{x}{{\sqrt {49} }} = \frac{{35 \times 4 - 40}}{2}

    ক)
    420
    খ)
    445
    গ)
    225
    ঘ)
    350
    ঙ)
    None of these

    Explanation

    Follow BODMAS rule to solve this question, as per the order is given below, Step - 1 - Parts of an equation enclosed in 'Brackets' must be solved first, Step - 2 - Any mathematical 'Of' or 'Exponent' must be solved next, Step - 3 - Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated, Step - 4 - Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated. The given expression is x49=35×4−402⇒x7=140−402⇒x7=1002⇒x7  =50\begin{array}{l} \frac{x}{{\sqrt {49} }} = \frac{{35 \times 4 - 40}}{2}\\ \Rightarrow \frac{x}{7} = \frac{{140 - 40}}{2}\\ \Rightarrow \frac{x}{7} = \frac{{100}}{2}\\ \Rightarrow \frac{x}{7}\; = 50 \end{array} ⇒ x = 50 × 7 ⇒ x = 350

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