Place which provides both board and lodging

Answer: Option B

One word substitute is Inn.

Cafe: a small restaurant selling light meals and drinks.
Inn: a house providing accommodation, food, and drink, especially for travellers.
Restaurant: a place where people pay to sit and eat meals that are cooked and served on the premises.
Motel: a roadside hotel designed primarily for motorists, typically having the rooms arranged in low blocks with parking directly outside.