Colleges in Himachal Pradesh

No, you don't have to face any examination, admission is on percentage basis, check out the link below for details :
https://www.shiksha.com/b-tech/course/b-e-in-computer-engineering-lateral-mit-college-of-engineering-maharashtra-academy-of-engineering-and-educational-research-s-kothrud-pune-267255

Hello Paramveer,
I think CSE in Chitkara University is far better than metallurgical engineering from PEC. CSE has become one of the fastest growing and most popular programs worldwide. There are numerous job opportunities in CSE, that's why It's considered one of the most high-paying jobs in a current industry. Chitkara has a good reputation for its engineering programs.

Chitkara is better for B.Tech in CSE as per its academic reputation and industry exposures, It has been ranked as one of the best private university by various factors on the basis of its infrastructure, pedagogy, faculty and more important its placements concerns.

CU is a better option over RBU for BBA as it has little better brand value.

Shimla University is best because it is an international university and you will get good exposure.

You shall refer the following link:
https://www.shiksha.com/resources/college-comparison

Chitkara University is well known for IT and engineering courses.