According to PUMBA cutoff trends, students from outside of Maharashtra need a CAT percentile of around 99+. The required cutoff varies each year depending on the competition and other factors. Try to score north of 99 percentile in CAT, to be safe. PUMBA accepts MAHCET scores too, you can attempt that as well.
According to recent years’ trends, the required CAT percentile for PUMBA, Pune is around 99 percentile. The rest depends on that particular year’s trends. There are also other factors on which the cutoff of a particular year depends such as university, i.e. HU or OHU. Cutoff also varies depending on which caste you belong to.
I have some friends at PUMBA, Pune and according to them, if you are interested to join the institute prepare for MHCET MBA along with CAT or MAT. This way you will have a better chance.
Overall, you will need a score of around 99+, if you are an out-of-state candidate in any of the above-mentioned examinations.