There are many enterence exams you may give a shot to like UPSEE , GUJCET, WB JEE, KCET , COMEDK these are the government engineering enterence exams conducted in different states for the admission in the their colleges but you have to fulfil their eligibility criteria in order to get admissions through them unless you won't be allowed to appear in the exam apart form them there are many enterence exams for private colleges as well like BITs , SRMJEE, VIT, MMM, etc 

To get any knowledge regarding these exams their syllabus, cut offs, dates and eligibility criteria feel free to ask.

Good Luck!!