A coil with large distribution capacitance has a:
(i) high Q ,
(ii) low Q ,
(iii) low resonant frequency ,
(iv) high resonant frequency.

Question

A coil with large distribution capacitance has a:
(i) high Q , 
(ii) low Q ,
(iii) low resonant frequency , 
(iv) high resonant frequency.

festinger · Answer

I will place my bet on (i)
For capacitor, Q=CV
This means that for a given Voltage V, a higher C can potentially deposit a larger amount of charge Q.

Resonant frequency applies for AC, and the relation is:
$$\omega=\frac{1}{\sqrt{LC}}$$
So a higher C means a smaller resonant frequency.