Question : Simplify the given expression and find the value for $x=-1$.
$\frac{10 x^2+5 x+2 x y+y}{5 x+y}$

Option 1: –1

Option 2: 0

Option 3: 1

Option 4: 2

Question : If $x+\frac{1}{x}=2$, then find the value of $x^{1823}+\frac{1}{x^{1929}}$.

Option 1: 2

Option 2: 1

Option 3: 0

Option 4: –1

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 $(9-3x)-(17x-10)=1$, then the value of $x$ is:

Option 1: $1$

Option 2: $–1$

Option 3: $\frac{9}{10}$

Option 4: $–\frac{9}{10}$

Question : If $x^4+\frac{1}{x^4}=194, x>0$, then find the value of $x^3+\frac{1}{x^3}+x+\frac{1}{x}$

Option 1: 76

Option 2: 66

Option 3: 56

Option 4: 46