CAT

IMI (International Management Institute) Delhi considers the best score among the CAT/XAT/GMAT scores that are submitted by the candidate at the time of application. Therefore, if you have appeared for both CAT and XAT exams, IMI Delhi will consider the exam score in which you have scored the highest.
It's important to note that the admission selection process at IMI Delhi takes into account multiple factors such as academic performance, work experience, entrance exam scores, and performance in the selection process, among other criteria. So, while a good CAT/XAT/GMAT score is important, it is not the only factor that determines your admission to IMI Delhi.
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With 67.69 percentile in CAT you may be eligible for admission to various B-Schools that accept CAT scores. However, it may be a bit challenging to get admission to top-tier B-Schools with this percentile. The NMAT score of 187 is a decent score, and it increases your chances of getting admission to MBA programs in colleges accepting NMAT scores. As you are waiting for the SNAP result, you can consider the following B-Schools for admission:
Symbiosis Institute of Business Management (SIBM), Pune
Symbiosis Institute of International Business (SIIB), Pune
Symbiosis Institute of Management Studies (SIMS), Pune
Symbiosis Centre for Management and Human Resource Development (SCMHRD), Pune
KJ Somaiya Institute of Management Studies and Research, Mumbai
Institute of Management Technology (IMT), Ghaziabad
Xavier Institute of Management (XIMB), Bhubaneswar
International Management Institute (IMI), New Delhi
Narsee Monjee Institute of Management Studies (NMIMS), Mumbai
Great Lakes Institute of Management, Chennai
These B-Schools accept CAT NMAT and SNAP scores for admission to their MBA programs. You can apply to these colleges based on your CAT and NMAT scores, and if you receive a good score in SNAP you can consider it while applying for the relevant B-Schools. However, it is recommended that you research the eligibility criteria and admission process of each college before applying. You should also check their placement records, fees, and other important factors before making a final decision.

It is difficult to predict whether you will receive a call from any IIMs as it depends on various factors such as the competition level, the number of available seats, and the overall performance of the candidates in the CAT examination.
However, with a decent score in CAT examination and your academic record, you may have a chance of receiving a call from some of the IIMs. It is important to note that while the CAT score is an important component of the selection process, IIMs also consider other factors such as academic background, work experience, and performance in the personal interview and written ability test.
Regarding LBSIM, admission to the Post Graduate Diploma in Financial Management program is based on CAT/MAT/GMAT/CMAT scores, followed by a group discussion and personal interview. Your academic record may also be taken into consideration during the selection process.
Overall, it is recommended that you aim for a high CAT score and prepare well for the group discussion and personal interview to increase your chances of getting admission to your desired institute.

With a CAT overall percentile of 93.48, you have a good chance of receiving a call for the MBA programs offered by FMS, BHU, and UBS, Panjab University. However, it is important to note that the final selection depends on several factors such as your academic performance, work experience, performance in the selection process (GD/PI), and other criteria specified by the respective institutes. Here is an overview of the selection criteria and cut-offs for FMS, BHU, and UBS:
FMS, BHU: The selection process for FMS, BHU consists of a Written Ability Test (What) and Personal Interview (PI). The institute considers CAT scores, academic performance, work experience, and performance in What and PI for final selection. The CAT cut-off percentile for FMS, BHU is generally around 85-90 percentile. UBS, Panjab University: The selection process for UBS, Panjab University comprises of a Group Discussion (GD) and Personal Interview (PI). The institute considers CAT scores, academic performance, work experience, and performance in GD/PI for final selection. The CAT cut-off percentile for UBS, Panjab University is generally around 90 percentile. Based on your academic profile, you may have a good chance of getting a call from FMS, BHU and UBS. However, it is important to perform well in the selection process to improve your chances of admission. I would recommend you to focus on your preparation for What/GD and PI, and make sure to showcase your strengths and achievements during the selection process.

Yes, there are reservations for NC-OBC (Non-Creamy Layer - Other Backward Class) category candidates in the admission process of most of the management institutes in India including the IIMs.
The CAT cutoffs for NC-OBC category candidates are usually lower than the cutoffs for General category candidates. However, the cutoffs vary from institute to institute and also depend on the number of seats available and the number of applicants in a particular category. Here are the CAT cutoffs for NC-OBC category candidates in some of the top management institutes in India:
IIM Ahmedabad: 75 percentile
IIM Bangalore: 75 percentile
IIM Calcutta: 75 percentile
IIM Lucknow: 75 percentile
FMS Delhi: 85 percentile
Note that these cutoffs are only indicative and can vary from year to year. Also, the cutoffs for NC-OBC candidates may change depending on the number of applications received in that category and other factors.
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UPES Dehradun accepts CAT/XAT/MAT/CMAT/GMAT scores for admission to its MBA programs. However, the selection process also considers other factors such as past academic performance, work experience, and performance in the Group Discussion and Personal Interview rounds. A percentile of 62 in CAT may not be sufficient to get admission to UPES Dehradun MBA programme. However, you can still apply and try your luck. It is also recommended to apply to other MBA colleges that accept CAT scores and have a lower cutoff. Apart from that, you can also consider improving your scores in other MBA entrance exams and work on your overall profile to increase your chances of getting admission to a good MBA programme. Please upvote if it was helpful.