Architecture

GATE is accepted for All M.Tech and Ph.D. courses at the Indian Institute of Technology and National Institute of Technology and other private or government engineering colleges. NATA is for Architecture B.Arch courses that are accepted across private architecture and government architecture colleges. Eligibility: With PCM and mathematics as the main subject in your 10+2 respectively. I hope this will help you.

It is around 1.25 lakh / annum.

There is no such cut-off for Amity University Mumbai. You must have 10+2 with maths as a subject. Thats it. Apply via their website & if you qualify, the university will be calling you.

Every year, Pillai College of Architecture admissions are conducted for the students on the basis of cut off declared by Pillai College of Architecture.
MHT CET
Round 1
Cut-off by rank 143.15

The fee structure at MBS School of Planning and Architecture for Bachelor of Architecture (B.Arch. is 33,300 annually for 5 years of duration.

Ganganagar Rajasthan University.

D. Y Patil University Navi Mumbai, NMIMS Mumbai, PIADS, Nagpur, Amity University Mumbai.

Yes, you can. It is a good rank. There are many good colleges.

Not exactly in Architecture but related to Architecture. Earlier, It was possible in some universities for students with a commerce background to take up the B.Arch course but now the Council of Architecture (CoA) only allows the students with Science + Maths background. In addition to this, you have to qualify the National Aptitude Test for Architecture NATA to be eligible for B.Arch courses. Though, there are some universities like CEPT and RICS who allow students from other backgrounds to take up M.Plan (Masters in Planning) or Urban Management, etc. They are very different from Architecture but related to the field.