Dear aspirant , 

There are many exams after you complete bsc computer science 

If you want to make a career in the field of technology then you can apply for MSC IN COMPUTER SCIENCE OR MSC IN INFORMATION TECHNOLOGY in India as well as  in foreign countries. 

You can also apply for PHD after completing MSC . PHD is basically the field of research and development . The entrance exams for MSC in foreign countries are GRE , TOEFL , IELTS . In india there is GATE , CLAT , MAT etc:

If you want to make a career in the field of mangement then you can apply for MBA /MMS programs . The entrance exams for MBA/MMS are CAT, MHT-CET, NMAT, SNAP ,XAT, ATMA,  . You can apply for MBA even in foreign countries , the entrance exams are GMAT, TOEFL , IELTS .

Hope it may help you.