CBSE 12th

Kindly refer to my answer on the same question:
https://ask.shiksha.com/with-186-marks-in-jee-paper-2-and-nata-score-97-can-i-take-admission-in-mnit-bhopal-i-belong-to-general-category-qna-4807625
Note: If you are not eligible with home state quota, then it will not be possible at least till the 4th round of counselling.
Best of luck.

You can get a seat but you have to appear in counselling procedures which is 70% seats are filled through university-level counselling based on marks obtained in class 10+2 and rank obtained in JEE Mains. Selection parameter and weightage:
10+2 marks - 75%
JEE Mains - 25%
Remaining 30% seats are filled by the university based on the marks obtained in class 10+2.

For CBSE, at least 75 %. For other boards, refer to the last year cutoff.

Yes, you can get a seat here as the cutoff remains near 120-130.

According to the IIM admission criteria, candidates appearing for CAT 2017 must have a Bachelor's Degree with at least 50 per cent marks (for General category) and 45 Percent (for SC, ST and PWD category) or equivalent CGPA from any recognised university. The minimum CAT percentile one needs to get a call from IIMs is 93 percentile. The percentile includes the marks scores in 10th, 12th, graduation, work experience, gender, etc.

Hello Chinmay,
There are lots of colleges in Karnataka for B.Architecture. And you have very good marks in JEE also in NATA or in 12th board exams. So you will easily get admission. Please visit the link below for colleges in Karnataka:
https://www.shiksha.com/architecture-planning/colleges/colleges-Karnataka

Yes, you can get admission.

She is eligible but we can expect only a tier-3 campus. She cannot join NITs or premium Institutes with this rank.