Answer: C
The correct option is P is false but Q is true.
After dilution the vesicles hold 50 mM KCl inside while the outside is almost pure water, so there is clearly a K+ (and Cl-) concentration difference across the membrane: Q is true.
A membrane potential, however, needs a net movement of charge, which requires the membrane to be selectively permeable to one of the ions. A pure phospholipid bilayer is essentially impermeable to both K+ and Cl-, so neither ion crosses and no charge separation develops: P is false. A potential would appear only if a K+-selective pathway such as the ionophore valinomycin were added, letting K+ leak out ahead of Cl-.
So 'both true' and 'P true, Q false' fail on P, and 'both false' fails on Q.