Colleges in Patiala

Refer to below link:
http://www.thapar.edu/images/admission/Admission for FN-NRI CANDIDATES.pdf

The most important point is that DAIICT does't have computer science. The course is ICT- information and communication technology which is sort of combination of ECE and CS and some people can do minors in computational science which is different from computer science. If you speak of the coding world come join DA. I have friends in a couple of colleges you mentioned so according to me your preferential order could be
DAIICT, LNMIT, DTU, VIT, Nirma, Thapar. Hope this helps.

The entrance test will be conducted in the month of May.

Yes, students who have PCM in class 12th are eligible for admission in Punjabi University for B.Pharmacy.Eligibility criteria:
10+2 (with 50% marks in the four compulsory subjects i.e. chemistry, physics, biology/mathematics and English taken together or equivalent examination).
Admission guidelines:
The admission to B.Pharma course is made on the basis of merit of 10+2 percentage.

Hi Sharnjeet,
Unfortunately, you cannot pursue M.Sc in Mathematics as only Graduates in B.Sc Maths or Maths(Hons) are eligible for the course.

Thapar University expected cut off is obviously less than IITs and NITs but not that much less. It would safely be upto GATE score of 450 to 500 and above. There is a separate entrance exam if all seats are not filled through GATE.
You should apply for that.
Best wishes

Please refer to the eligibility criteria mentioned below for M.Sc in Microbial & Food Technology from Punjabi University:
Eligibilty:
B.Sc. in the faculty of Life Sciences/ Biological/ Medical/Engineering/ Food/Agriculture/ Home Science OR B.Sc. with any of the three subjects, Mathematics/ Statistics, Physics, Chemistry.
Regards.