provide that in the selection of students for employment under such work-study program, only students who demonstrate financial need in accordance with part F of this subchapter and meet the requirements of
section 1091 of this title will be assisted, except that if the institution’s grant under this part is directly or indirectly based in part on the financial need demonstrated by students who are (A) attending the institution on less than a full-time basis, or (B) independent students, a reasonable portion of the grant shall be made available to such students;