Dear Jenny,

According to you,  you are belonging to the general category.  I do not know the exact rank because it varies year by year. But if you got 178 marks in CUSAT CAT(Cochin University of Science and Technology Common Admission Test ) then according to the previous year, your rank will be around 5000-7000.

To more information about CUSAT CAT 2021- Exam pattern, syllabus :-

CUSAT CAT 2021 - Dates (Revised), Admit Card (OUT), Exam Pattern, Syllabus, Result, Cutoff, Participating Colleges (careers360.com)

Hope this information helps you...

Good luck :)