Let's evaluate each set:
- Set I: Incorrect — Staggered ethane is more stable than eclipsed ethane due to **less torsional strain**, but this is not a matching statement, because it implies staggered has *more* torsional strain, which is incorrect.
- Set II: Incorrect — 2,2-Dimethylbutane has more branching than 2-methylpentane, hence has a \textit{lower} boiling point, not higher. So, this match is incorrect.
- Set III: Correct — cis-But-2-ene has a net dipole moment due to polar bonds pointing in the same direction, whereas trans is symmetrical and has zero dipole moment. So this match is correct.
Only Set III is correctly matched.