Engineering Entrance Exam

No, you cannot get admission in PEC without JEE Mains.

Hello Akansha,
The answer to your query is not available on the website of this Institute. But other useful information is available that may help you in getting your query solved. I’m attaching a link that will give you all the required information about your query:
http://www.kitmkarnal.com/#

Application Form Availability - 10th October 2017
Last date to apply for students from outside Bengaluru - 10th April 2018
Last date to apply for students from Bengaluru - 17th April 2018
Slot Booking Starts - 15th April 2018
PESSAT Exam Date 2018 - 20th April to 15th May 2018 (Except for May 1, 2, 3 an

For architecture you have to give NATA. To get into VIT you have to score minimum 80 out of 200 and for merit you have to score above 120.

Check out the link below and click on the college names to know their cutoff:
https://www.shiksha.com/b-tech/resources/jee-mains-cut-off-predictor
Also refer https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx.

Many universities conduct their own entrance exam also to fill the rest seats. But I am not sure that you will get admission because of your UG degree.

Last month of any competitive exam should not be for gaining knowledge, it should be around increasing your speed and appearing for more and more test series
Revision of concepts, test series should be the focus areas. When you consistently score good in test series, it will eventually boost your co