Question : If $\frac{x}{y}=\frac{4}{5}$, then the value of $(\frac{4}{7}+\frac{2y–x}{2y+x})$ is:

Option 1: $\frac{3}{7}$

Option 2: $1\frac{1}{7}$

Option 3: $1$

Option 4: $2$

Question : If $5\tan\theta=4$, then $\frac{5\sin\theta-3\cos\theta}{5\sin\theta+2\cos\theta}$ is equal to:

Option 1: $\frac{2}{3}$

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

Option 3: $\frac{1}{6}$

Option 4: $\frac{1}{3}$

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 : If $x+\left [\frac{1}{(4x)} \right]=\frac{5}{2}$; then, what is the value of $\frac{64x^{6}+1}{8x^{3}} \;?$

Option 1: 110

Option 2: 115

Option 3: 125

Option 4: 140

Question : If $x:y=3:4$ and $y:z=3:4$ then $\frac{x+y+z}{3z}$ is equal to:

Option 1: $\frac{13}{27}$

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

Option 3: $\frac{73}{84}$

Option 4: $\frac{37}{48}$