Question : Study the given pie chart and answer the question that follows.

The pie chart represents the marks (out of 100) obtained by Shweta in different subjects - Hindi, English, Maths, Science, Social Science (S.S.) and Commerce in her class examination. The marks obtained in English and S.S. are what percent less than the marks obtained in Hindi and Maths?

The marks obtained in English and S.S. are what percent less than the marks obtained in Hindi and Maths?

Option 1: $30 \frac{1}{8} \%$

Option 2: $31 \frac{5}{8} \%$

Option 3: $30 \frac{5}{8} \%$

Option 4: $31 \frac{1}{8} \%$

Question : Find the value of the given expression:
$\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$

Option 1: $11 \frac{3}{8}$

Option 2: $10\frac{1}{8}$

Option 3: $14\frac{3}{8}$

Option 4: $16\frac{5}{8}$

Question : If $X$ is 20% less than $Y$, then find the values of$\frac{Y–X}{Y}$ and $\frac{X}{X–Y}$.

Option 1: $\frac{1}{5}$ and $-4$

Option 2: $5$ and $-\frac{1}{4}$

Option 3: $\frac{2}{5}$ and $-\frac{5}{2}$

Option 4: $\frac{3}{5}$ and $-\frac{5}{3}$

Question : Simplify the expression:
$\frac{1}{8}\left[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}\right]$

Option 1: $\frac{1}{b^8-1}$

Option 2: $\frac{8}{b^8+1}$

Option 3: $\frac{8}{b^8-1}$

Option 4: $\frac{1}{b^8+1}$

Question : If $x=(7+3 \sqrt{5})$, then find the value of $x^2+\frac{1}{x^2}$.

Option 1: $ \frac{580+315 \sqrt{5}}{8}$

Option 2: $\frac{799+328 \sqrt{5}}{8}$

Option 3: $\frac{799+315 \sqrt{5}}{12}$

Option 4: $\frac{799+315 \sqrt{5}}{8}$

Question : What is the value of $\frac{\frac{5}{6} \text { of } \frac{1}{3} \times \frac{12}{25}-\frac{1}{3} \text { of } \frac{5}{6} \times \frac{18}{25}}{\frac{25}{12} \text { of } \frac{1}{6} \times \frac{2}{5}+\frac{3}{8} \text { of } \frac{12}{25} \times \frac{5}{6}}$?

Option 1: $-\frac{3}{13}$

Option 2: $-\frac{5}{13}$

Option 3: $-\frac{8}{25}$

Option 4: $-\frac{3}{25}$