Subject

    Quantitative Aptitude

    Topic

    Simplification

    Simplify: 72÷52×4    72÷52of  4+9  \frac{{\frac{7}{2} \div \frac{5}{2} \times 4}}{{\;\;\frac{7}{2} \div \frac{5}{2}of\;4}} + 9\;

    ক)
    39
    খ)
    24
    গ)
    50
    ঘ)
    45
    ঙ)
    None of these

    Explanation

    Follow BODMAS rule to solve this question, as per the order 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 contain 'Division' and 'Multiplication' are calculated, Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated. Given expression: 72÷52×4      72÷52of  4+9\frac{{\frac{7}{2} \div \frac{5}{2} \times 4}}{{\;\;\;\frac{7}{2} \div \frac{5}{2}of\;4}} + 9 =72×25×472÷(52×  4)+9= \frac{{\frac{7}{2} \times \frac{2}{5} \times 4}}{{\frac{7}{2} \div \left( {\frac{5}{2} \times \;4} \right)}} + 9 =75×472÷10+9= \frac{{\frac{7}{5} \times 4}}{{\frac{7}{2} \div 10}} + 9 =28572×110+9= \frac{{\frac{{28}}{5}}}{{\frac{7}{2} \times \frac{1}{{10}}}} + 9 =285720+9= \frac{{\frac{{28}}{5}}}{{\frac{7}{{20}}}} + 9 =285×207+9= \frac{{28}}{5} \times \frac{{20}}{7} + 9 = 16 + 9 = 25

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