Architecture

Yes,
Industrial designing is available in M. S. Ramaiah College.

Hello,
Check Kennesaw State University and San Francisco State University in USA. You may also check top ranked California Institute of Technology. In UK, there are more options, but if it is one year degree, it may not be recognized in India. Check Coventry University, University of Reading, Anglia Ruskin University and many more.

Not, possible. AICTE doesn't approve distance courses in engineering and architecture.
Regards.

Admission is done through National Aptitude Test in Architecture Exam and Entrance test. You can get admission if you qualify the Exam and fulfill minimum eligibility criteria. You can get all Requisite details in this prospectus: https://www.google.com/url?url=http://jmicoe.in/pdf18/Prospectus_2018-19_Final.pdf&rct=j&sa=U&ved=2ahUKEwikkqqXns3aAhUEqo8KHUz7CeUQFjAAegQIBBAB&q=jamia+prospectus&usg=AOvVaw0C55ad8TisxHtzLS93o9lu.

Level of Maths in the NATA exam is moderate and the syllabus is generally of metric level.

TANATA 2017 was conducted on August 12. TANATA 2018 exam dates are yet to be announced. There is a high likelihood that it will be held this year as well. Please refer to the link provided below for further details regarding this entrance test:
https://www.shiksha.com/university/anna-university/exams/tanata.

NATA scores are used for admissions to different government aided and non-aided schools /colleges of Architecture, to provide common measure for comparing the qualifications of applicants, for admission in addition to their scholastic performance in 10+2 or equivalent examination. Interested candidates can apply directly to the college via online/offline mode. According to the Council of Architecture, admission guidelines, a candidate applying to any school / college of architecture in India should have achieved 40% score in NATA i.e. at least 80/200, for consideration of admission into first year B.Arch.