The internal bisectors of $\angle Q$and $\angle R$ of triangle PQR meet at O. If $\angle P $= $70^{0}$, then what is the measure of $\angle QOR$ (in degrees)?
1). 110
2). 115
3). 125
4). 135
If$ 5^{x} $= $30^{-y}$ = $6^{z}$, then what is the value of $\frac{(xy + yz + zx)}{xyz}$?
1). 0
2). 1
3). 2
4). 3
If $\left(\frac{x}{y}\right) + \left(\frac{y}{x}\right)$ = 1, then what is the value of $x^{3} + y^{3}$?
1). -1
2). 0
3). 1
4). 3
If a + b + c = 9 and ab + bc + ca = 18, then what is the value of $a^{3}+b^{3}+c^{3}-3abc$ ?
1). 189
2). 243
3). 361
4). 486
If $\alpha $ and $\beta $ are roots of the equation $3x^{2} - 13x + 14$ = 0, then what is the value of $\left(\frac{\alpha}{\beta}\right) + \left(\frac{\beta}{\alpha}\right)$?
1). $\frac{65}{28}$
2). $\frac{53}{14}$
3). 9
4). $\frac{85}{42}$