Correct option is B
- The sentence requires a preposition indicating the time frame for the grandfather’s arrival.
- Within is appropriate, meaning “My grandfather will come here within a week”, implying any time up to a week from now.
- Before suggests prior to a specific point, not a duration. At is used for precise times, and with is irrelevant.
- Within a week is a common phrase for an event expected soon, fitting the context.
- The sentence reads naturally and grammatically correctly with within.
- Thus, within is the correct answer.