Question : If $\frac{1}{4.263}=0.2346$, find the value of $\frac{1}{0.0004263}$.

Option 1:  2346

Option 2: 4.263

Option 3: 2.346

Option 4: 4263

Question : The value of $4-\frac{1}{1\:+\:\frac{1}{3\:+\:\frac{1}{2\:+\:\frac{1}{2\:+\:\frac{1}{4}}}}}$ is:

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

Option 2: $\frac{1}{64}$

Option 3: $\frac{1}{32}$

Option 4: $\frac{313}{97}$

Question : Find the value of $k$, if $13 - [10 - \{16 + 8 \div(k - 2)\} + 2] = 20$

Option 1: $\frac{14}{3}$

Option 2: $\frac{31}{3}$

Option 3: $\frac{40}{13}$

Option 4: $\frac{23}{13}$

Question : If $\frac{5x}{2}-\frac{[7(6x-\frac{3}{2})]}{4}=\frac{5}{8}$, then what is the value of $x$?

Option 1: $\frac{1}{4}$

Option 2: $-\frac{1}{4}$

Option 3: $4$

Option 4: $–4$

Question : If $(4 y-\frac{4}{y})=13$, find the value of $(y^2+\frac{1}{y^2})$.

Option 1: $12 \frac{11}{16}$

Option 2: $10 \frac{9}{16}$

Option 3: $12 \frac{9}{16}$

Option 4: $8 \frac{9}{16}$

Question : If $(2+\sqrt{3})a=(2-\sqrt{3})b=1$, then the value of $\frac{1}{a}+\frac{1}{b}$ is:

Option 1: $1$

Option 2: $2$

Option 3: $2\sqrt{3}$

Option 4: $4$