Dear Pallavi ,

As per last year Karnataka PGCET M.Tech  cut off details after  1st round , with GM category[general] ... you have low chances to get BMS college of engineering with Environmental engg .

Last year cut off for this course in this college was - 2787 [after 1st round]

But, you may get Environmental engg course in the following colleges with your rank:

• B L D E AS V P DR P G HALAKATTI COLLEGE OF ENGG AND TECH BIJAPUR-8161
• B V V SANGHAS BASAVESHWAR ENGINEERING COLLEGE BAGALKOT-5809
• BAPUJI INSTITUTE OF ENGINEERING AND TECHNOLOGY DAVANAGERE-6682 and some others

Well, the cut off may change every year due to some unavoidable factors like seat matrix , difficulty level of questions etc.

You can also check the last year PGCET cut off details from here :

https://engineering.careers360.com/articles/karnataka-pgcet-cutoff

Hope this helps !