Question : A student was asked to find the value of $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ His answer was $\frac{2}{9}$. What is the difference between his answer and the correct answer?
Option 1: $\frac{1}{12}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{6}$
Correct Answer: $\frac{1}{12}$
Solution : According to the question $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ = $\left[(\frac{4}{9} × \frac{5}{3} × \frac{2}{3}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ = $\frac{8}{45}×{\left[\frac{8}{27} \div\left(\frac{36}{25}\right)\right]}{\frac{2}{3} \div \frac{9}{2}}$ = $\frac{8}{45}×{\left[\frac{8}{27} \div\left(\frac{36}{25}\right)\right]}{\frac{4}{27}}$ = $\frac{8}{45} × \frac{8}{27} × \frac{25}{36} ×\frac{4}{27}$ Now, Difference = $\frac{25}{324}$ and $\frac{2}{9}$ = $\frac{2}{9}$ – $\frac{25}{324}$ = $\frac{72 - 25}{324}$ = $\frac{47}{324}$ Hence, the correct answer is $\frac{47}{324}$
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A student was asked to find the value of
Question : Simplify the following. $81^{\frac{3}{4}}+[(20 \div 5 \text { of } 3 \times 6)+\{(8 \div 24 \text { of } 3) \times 4\}-10 \div 5]-\left(\frac{1}{32}\right)^{-\frac{2}{5}}$
Question : The value of $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ is:
Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile