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    Subject

    Quantitative Aptitude

    Topic

    Simplification

    What will come in place of question mark in the following question? 3617÷2734−1925=(?)23\frac{6}{{17}} \div 2\frac{7}{{34}} - 1\frac{9}{{25}} = {\left( ? \right)^2}

    ক)
    16/25
    খ)
    4/5
    গ)
    1/3
    ঘ)
    2/5
    ঙ)
    3/5

    Explanation

    Given expression: 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. 3617÷2734−1925=(?)23\frac{6}{{17}} \div 2\frac{7}{{34}} - 1\frac{9}{{25}} = {\left( ? \right)^2} ⇒(?)2=5717÷7534−3425\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \div \frac{{75}}{{34}} - \frac{{34}}{{25}} ⇒(?)2=5717×3475−3425\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \times \frac{{34}}{{75}} - \frac{{34}}{{25}} ⇒(?)2=3825−3425=425\Rightarrow {\left( ? \right)^2} = \frac{{38}}{{25}} - \frac{{34}}{{25}} = \frac{4}{{25}} ⇒ ? = 2/5 Hence, the required answer is 2/5.

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