CAT

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.