Absolute Value Equations: Minimum Ratio

$|r - 6| = 11 \implies r - 6 = 11 \text{ or } -11 \implies r = 17 \text{ or } -5$. $|2q - 12| = 8 \implies 2q - 12 = 8 \text{ or } -8 \implies 2q = 20 \text{ or } 4 \implies q = 10 \text{ or } 2$. Possible values of $\frac{q}{r}$: $\frac{10}{17}, \frac{2}{17}, \frac{10}{-5} = -2, \frac{2}{-5} = -0.4$. The minimum possible value is $-2$. Since $-2$ is not among options A, B, C, the answer is 'None of these'.