Correct Answer - Option 4 : 14.4
Follow BODMAS rule to solve this question, as per the given order below.
Step 1: Parts of the equation enclosed in ‘Brackets’ must be solved first.
Step 2: An mathematical ‘Of’ or ‘Exponent’ must be solved next.
Step 3: Next, the parts of the equation containing ‘Division’ or ‘Multiplication’ are calculated.
Step 4: Last but not the least, the parts of the equation containing ‘Addition’ or ‘Subtraction’ are calculated.
Given,
\(\begin{array}{l} \left( {75 - 19} \right) \div \left[ {\left( {92 - 29} \right) \div \left\{ {\left( {78 + 57} \right) \div \left( {7 + \frac{4}{3}} \right)} \right\}} \right] = \;?\\ \Rightarrow 56 \div \left[ {\;63 \div \left\{ {135 \div \frac{{25}}{3}} \right\}} \right] = \;?\\ \Rightarrow 56 \div \left[ {\;63 \div \left\{ {135 \times \frac{3}{{25}}} \right\}} \right] = \;? \end{array}\)
\(\begin{array}{l} \Rightarrow 56 \div \left[ {\;63 \div \frac{{81}}{5}} \right] = \;?\\ \Rightarrow 56 \div \left[ {63 \times \frac{5}{{81}}} \right] = \;?\\ \Rightarrow 56 \div \frac{{35}}{9} = \;? \end{array}\)
\(\begin{array}{l} \Rightarrow 56 \times \frac{9}{{35}} = \;?\\ \Rightarrow \;? = \frac{{72}}{5} = 14.4 \end{array}\)
