Nepal

Yes, you can easily apply since you have already completed your Bachelor's degree.

Hi Pankaj,
You asked the question way back in last year's June, it's really unfortunate that you didn't get any answer. I wasn't there at that time.
Anyway, SXCKOL actually doesn't have any foreign quota but there are other reserved categories, you can find them in the website.
All the best.

Yes, surely you can try for it.

Hello Manish, there are 2-3 entrance tests that you ought to give to secure admission in India. One of them is JEE Mains, then JEE Advance. The fees of any engineering college or university is not more than the figures you described. As far as good colleges for Mechanical Engineering are concerned, the link below has the list of them-
https://www.shiksha.com/b-tech/ranking/top-mechanical-engineering-colleges-in-india/48-2-0-0-0

Hello! Sorry for late reply. The fee structure is nearly 1.60 lakh per annum.

Hi,
Please check UGC website for university recognition, if it is listed you need not worry. However you must still write to the universities you want to apply to and check acceptance of your degree, every university has different admission requirements.

Hi Navin,
As far as FMS is concerned: Yes, Nepalese can definitely pursue MBA full time course at the institution.
In fact there have been a few Nepalese who are currently pursuing MBA from FMS. You no longer have to have a GMAT score for being considered for admission into FMS. Please contact your embassy for detailed admission guidelines and procedure to be followed.