Hy,

NISER (National Institute of Science Education and Research) and CEBS (Centre for Excellence in Basic Sciences) are prestigious institutions that offer integrated M.Sc. programs in various disciplines of science. Your NEST rank of 387 in the general category is quite competitive, but admission to NISER or CEBS depends on various factors including the number of seats available, cutoff ranks, and the preferences you select during counseling.

For more information you can check the below mentioned link to get cut offs in each section category-wise:-

https://university.careers360.com/articles/nest-cutoff