The question asks about the recognition of certain institutes as "Institutes of National Importance" by an Act of Parliament.
Option 1 suggests Dakshina Bharat Hindi Prachar Sabha, Chennai, National Institute of Pharmaceutical Education and Research, Mohali, and Sree Chitra Tirunal Institute for Medical Services and Technology, Thiruvananthapuram have this recognition. This is the correct answer.
Option 2 indicates that only Sree Chitra Tirunal Institute for Medical Services and Technology, Thiruvananthapuram, and Lakshmibai National Institute of Physical Education, Gwalior are recognised. This is incorrect as the Lakshmibai National Institute of Physical Education, Gwalior isn`t recognised as an Institute of National Importance.
Option 3 postulates Dakshina Bharat Hindi Prachar Sabha, Chennai; National Institute of Pharmaceutical Education and Research, Mohali; and Lakshmibai National Institute of Physical Education, Gwalior share this recognition, but again this is incorrect because of the above reason.
Option 4 suggests all four institutes are recognised. This is incorrect due to the inclusion of the Lakshmibai National Institute of Physical Education, Gwalior, which isn`t recognised as such an institute