Distilled water does not conduct electricity. Why?

Five solutions $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}$, $\mathrm{D}$, and $\mathrm{E}$ when tested with universal indicator showed pH as $4$, $1$, $11$, $7$ and $9$ respectively, classify the solutions as given below.

Neutral

Five solutions $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}$, $\mathrm{D}$, and $\mathrm{E}$ when tested with universal indicator showed pH as $4$, $1$, $11$, $7$ and $9$ respectively, classify the solutions as given below. 

Strongly alkaline

Five solutions $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}$, $\mathrm{D}$, and $\mathrm{E}$ when tested with universal indicator showed pH as $4$, $1$, $11$, $7$, and $9$ respectively, classify the solutions as given below. 

Strongly acidic