Correct Answer: She asked if we were meeting her partners the following week.

Solution : The correct choice is the third option.

Explanation :

When reporting a past event or question, the tense of the reporting verb shifts back one in time.

Steps of conversion:

• The question is changed into a statement and the statement should be in the past tense.
• The connector if is used to connect the main clause and the subordinate clause in case of a yes or no question.
• Are you meeting is in the present continuous which changes to were meeting, which is in the past continuous because the reporting verb "asked" is in the past.

Therefore, the correct sentence is: She asked if we were meeting her partners the following week.