Find the value of ‘?’ in the given expression:
\(2\frac{1}{8}\% \;of\;320\;of\left( {1\frac{1}{4}\% \;of\;280\; \div \left( {\sqrt {441} - 11} \right)\% \;of\;140} \right) = ?\)
Solution
Correct Answer: Option D
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:
\(\begin{array}{l} 2\frac{1}{8}\% \;of\;320\;of\left( {1\frac{1}{4}\% \;of\;280\; \div \left( {\sqrt {441} - 11} \right)\% \;of\;140} \right) = ?\\ \Rightarrow \frac{{8 \times 2 + 1}}{{8 \times 100}}\;of\;320\;of\left( {\frac{{1 \times 4 + 1}}{{4 \times 100}}\;of\;280\; \div \frac{{\left( {21 - 11} \right)}}{{100}}\;of\;140} \right) = ?\\ \Rightarrow \frac{{17}}{{800}}\;of\;320\;of\left( {\frac{7}{2}\; \div \frac{{10}}{{100}}\;of\;140} \right) = ?\\ \Rightarrow \frac{{34}}{5}\;of\left( {\frac{7}{2}\; \div 14} \right) = ?\\ \Rightarrow \frac{{34}}{5}\;of\left( {\frac{7}{2} \times \frac{1}{{14}}} \right) = ?\\ \Rightarrow \frac{{34}}{5}\;of\frac{1}{4}\; = ?\\ \Rightarrow ? = \frac{{17}}{{10}} = 1\frac{7}{{10}} \end{array}\)
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