What approximate value should come in place of x in the following question?
\(23\frac{2}{3}{\rm{% ;of;}}\sqrt {323.91} + \left( {{{11.97}^2} \div \sqrt[3]{{26.949}}} \right){\rm{% ;of;}}\sqrt {1679} = 30{\rm{% ;of;x}} + 2.87\)
- AOption (a)
57
- BOption (b)
70
- COption (c)
65
- DOption (d)
76
- EOption (e)
81
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Correct answer
70
Why this answer is correct
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 and in the bracket,
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.
\(23\frac{2}{3}\)% of \(\sqrt {323.91}\) + (11.972 ÷ \(\sqrt[3]{{26.949}}\))% of \(\sqrt {1679} \) = 30% of x + 2.87
\(\Rightarrow \frac{{71}}{3}\) % of \(\sqrt {324}\) + (122 ÷ \(\sqrt[3]{{27}}\))% of \(\sqrt {1681}\) = 30% of x + 2.87
\(\Rightarrow\) \(\frac{{71}}{{3 \times 100}}\) × 18 + (144 ÷ 3)% of 41 = 30% of x + 2.87
\(\Rightarrow\) \(\frac{{71}}{{100}}\) × 6 + 48% of 41 = 30% of x + 2.87
\(\Rightarrow\) 4.26 + \(\frac{{48}}{{100}}\) × 41 = \(\frac{{30}}{{100}}\) x + 2.87
\(\Rightarrow\) 4.26 + 19.68 = \(\frac{{30}}{{100}}\) x + 2.87
\(\Rightarrow\) 4.26 + 19.68 – 2.87 = \(\frac{{30}}{{100}}\) x
\(\Rightarrow\) 21.07 = \(\frac{{30}}{{100}}\) x
\(\Rightarrow\) 21 = \(\frac{{30}}{{100}}\) x
\(\Rightarrow\) x = \(\frac{{2100}}{{30}}\)
\(\Rightarrow\) x = 70
