Hello dear student,

Yes the entrance test date for jnu is between 11 to 14 may. It might clash with your semester end exam as you are thinking. Then you can either give your entrance test if it clashes with your semester exam or you can choose to give your semester exam. As giving semester end exams are more important for the completion of your degree. Also these dates are tentative that can these can be changed in future . I hope this was helpful

Best wishes