Dear Aspirant,

With 68 percentile in jee main, it is unlikely to get a seat in a government engineering college in Bengal. Although you belong to SC category, it shall be still extremely difficult in grabbing hold of a seat. Furthermore, IIEST Shibpur is one of the premier institutes of Bengal and has standards comparable to NITs of India. It is pretty difficult to get into Shibpur with 68 percentile.

To have a better idea about where you stand,may I suggest you to click on the link :-

https://www.careers360.com/wbjee-college-predictor?icn=WBJEE_clgpd&ici=WBJEE_article_contmap This link shall exactly tell you which colleges are in your range without having to go through every WBJEE engineering government colleges' closing rank.

I had been in your position once back in 2015. I would rather prefer to get into a good private engineering college rather than getting into a low ranked government college.