The correct option is D Thursday at Shyam's house
Given, Neetu cannot attend any meeting at Latha's house and Kirthi cannot attend any meeting at Neetu's house.
Now, out of the given options, meeting can happen at Shyam's house only as if meeting held at Latha's or Neetu's house then all members of the board can't attend it.
Now, out of Tuesday or Thursday the meeting will held at Thursday only, as on Tuesday, Maya can't attend the meeting.
Hence, option (D) is the correct answer.