Colleges in Patiala

Here I will suggest you firstly to visit on Shiksha's college predictor:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjPs-iFqpTcAhWMRY8KHariB-kQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

Depends upon the Mains score of other students of your category (board marks category). As you scored 95%, you will be in first category (95% and above) in which top 25 students (according to JEE Mains score) of this category will be getting the highest scholarship (around INR 1 lac). So, it totally depends upon other student's score of your category.

Hi Manveen!
Yes, you can apply. Any candidate who has completed his 10+2 from a recognized education board is eligible to apply for the certificate course in French. The fee for this course is not available online on its official website. I would suggest you to contact the university directly for the information.

Kindly visit this link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjAu47I1_3bAhWHsY8KHZKxCSQQFjAAegQIARAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H

Kindly visit this link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjAu47I1_3bAhWHsY8KHZKxCSQQFjAAegQIARAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H

As the fees is not disclosed by the college so I would request you to contact the college officials to know about the same.
Link: http://www.punjabiuniversity.ac.in/

For Chemical Engineering, one must opt for Thapar Institute of Engineering and Technology. The major research activities in the Department are in the fields of Heat Transfer, Fluid Mechanics, Polymer Science & Technology, Energy Management, Biochemical Engineering, Separation Processes, Reaction Engineering, Pulp and paper, and Environmental Engineering. Any day, TIET would be a better choice.

If you have Punjab quota, then you have 90% chances to get it.
As per second cut-off list there is quite decrease in the cut off rank/marks.Try till second in-person counseling.
It's bit difficult if you are from outside Punjab.
Though try your best.
Best wishes.

Scholarships are based on your board score and JEE Mains rank as well. There are categories in which students are divided according to their board marks. Like, 95% marks and above, 90% marks -95% marks, 85% marks -90% marks. Then, in these categories students are arranged according to their JEE Mains marks. Number and fee concession varies in every category.

In 2018, it is almost INR 20 lacs (including hostel fees) for 4 years and fees goes on increasing every semester. There is no bar on increase in fees every semester. For more details, visit: http://www.thapar.edu/students/pages/fee-circular-and-fee-chart.