CAT

No, there is no provision of changing the test centre after the CAT admit card has been released. In fact, there is no option to change the test centre allotted at any point of time during the exam cycle. Candidates get only one opportunity to change the test city choice at the time of form correction. Thus, it is very important to select test cities very carefully in the CAT application form. They must choose their first city preference as home town or the city where they are likely to be on the exam day or choose a city which is the closest to their hometown and they can reach there on time on the exam day. Also, to be allotted the desired test city, candidates must fill the CAT application for at the earliest, as the exam slot and test centres are allotted on first cum first served basis. If the seats get filled fore centres in one city, candidates are allotted a centre in the second city of their preference. Moreover, the CAT admit card is released a month before the exam so candidates must check the location of their allotted centre much in advance and make arrangements for reaching there on exam day on time.

There are quite a few MBA colleges who accept CAT score of 80 percentile and above for admission. The admission process for these colleges include group discussion and Personal Interview . Fore School of Management
Goa Institute of Management
International Management Institute, Delhi
Indian Institute of Forest Management, Bhopal
Indian Institute of Management, Visakhapatnam
Loyola Institute of Business Administration, Chennai
Lal Bahadur Shastri Institute of Management
National Institute of Technology, Tiruchirappalli
Praxis Business School, Kolkata
Prin. L. N. Welingkar Institute of Management development & Research, Bangalore
Shiva Institute of Management Studies, Ghaziabad
Sydenham Institute of Management Studies, Research and Entrepreneurship Education
S. P. Jain Institute of Management and Research
TA Pai Management Institute
Trinity College for Management and Technology, Ghaziabad
Click on this link for more: https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-80-to-90-percentile-blogId-11981.

A good number of private MBA colleges accept CAT score of 70 percentile in CAT. We have listed some of the colleges in which admission is possible with 70 percentile. Amity University
AIMS Institutes (AIMS), Bangalore
Amrita School of Business - Bangalore
Acharya Bangalore B-School
Asian Business School (ABS), Noida
Amrita School of Business, Kochi
Bengal Institute of Business Studies (BIBS), Kolkata
Birla Institute of Technology and Science, Pilani
Christ Institute of Management, Pune
Doon Business School (DBS), Dehradun
Eastern Institute For Integrated Learning In Management, Kolkata
FOSTIIMA Business School, Delhi
International Institute of Business Studies, Noida
International School of Business and Media (ISB&M) Bangalore
JK Lakshmipat University-Institute of Management, Jaipur National University (JNU), Jaipur
JRE Group of Institutions (JRE), Greater Noida
Lotus Business School, Pune
Lovely Professional University, Jalandhar
MATS University, Raipur
IIKM Business School, Calicut
IILM Institute for Higher Education, Delhi
For full list, click here: https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-70-to-80-percentile-blogId-11956.

There are a number of private MBA colleges that accept CAT score of 60+ percentile for admission. We have listed some of the colleges below:
AIMS Institutes (AIMS), Bangalore
Amrita School of Business - Bangalore
Acharya Bangalore B-School
Asian Business School (ABS), Noida
Amrita School of Business, Kochi
Bengal Institute of Business Studies (BIBS), Kolkata
Birla Institute of Technology and Science, Pilani
Christ Institute of Management, Pune
Doon Business School (DBS), Dehradun
Eastern Institute for Integrated Learning in Management, Kolkata
FOSTIIMA Business School, Delhi
International Institute of Business Studies, Noida
International School of Business and Media (ISB&M) Bangalore
International School of Business & Media, Kolkata
IIKM Business School, Calicut
IILM Institute for Higher Education, Delhi
For full list, click here: https://www.shiksha.com/mba/articles/colleges-accepting-cat-scores-range-60-to-70-percentile-blogId-11984.

It's difficult to predict whether you will get admission to LBSIM Delhi with a waitlist position of 20, as it depends on various factors such as the number of seats available, the number of candidates accepting their offers, and the movement of the waitlist. However, being at position 20 on the waitlist is a decent position, and there is a possibility that you may get admission if there are enough cancellations or withdrawals from the programme. It's best to wait and keep an eye on the admission process, as the waitlist may move up or down depending on the situation. In the meantime, you can also consider exploring other options and backup plans, just in case you don't get admission to LBSIM Delhi.