Engineering

it is difficult for you to get admission since you have got below 60 percent in your board exams and the minimum criteria is to have 60 pecent in your boards.

nope. you have to appear for GATE exam in order to pursue M tech from any government institute across the country. give gate and do your best.

The fee per semester in Amity University Mumbai for Aerospace Engineering is 1.11lakhs. The basic eligibility for this course is:
12th PCM min 60%
Now you can also apply from the convenience of your hometown if you have appeared in National/State Engg Entrance Exam. You can submit the Entrance Exam score and Statement of Purpose ( 1-minute SoP video ) on Amity University Mumbai's microsite.
or you can also give Amity JEE Test.

The basic criteria for getting admission is to get a minimum of 60% in your 12th PCM. After that, you can now Apply From The Convenience Of Your Hometown If You Have Appeared in National/State Engg Entrance Exam. You can submit the Entrance Exam score and Statement of Purpose ( 1-minute SoP video ) on Amity's microsite, or you can apply for the Amity JEE Test.
If you have cleared all of the above, you can get admission in Amity University Mumbai.

Yes, it offers lateral entry in B.Tech, but it conducts a entrance exam.

you have to spend a minimum of 4-5 years if you want to pursie the above mentioned course. and then do well in your exams to be above everyone.

yes absolutely. you can do msc in mathematics. you have to keep an update on their official website as to when they release their regsitration form and fill it up on time.