Not necessarily you can do it from IIT, you cannalso pursue from top NITs and CFTIs and IIITs and GFTIs as well which are of national importance and have high vakue. 

You can also gobfor private engineering colleges like Following :

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=im_field_ownership%3A967&f%5B1%5D=sm_course_offered%3ASoftware%20Engineering

Yes they do have as many students reside nearby or in vicinity kf location. 

Not all students compulsorily opt for hostels because they have been residing in the city an dhave their own residential address. 

Day scholars however can also opt for hostel facilities to save time for commute. 

Cutoff is different across all IITs departments and depending upon Quotas and stream syou choose. 

Entir e cutoff reports fir all IITS under SC category below. 

https://engineering.careers360.com/articles/jee-advanced-cutoff

IIT offers purely technical cohrses like Engineering and hence degree offered is Btech. 

Institute /University offeeing courses apart from engineering or non technical courses generally offer BE/ME degrees.

Both are almost equivalent degrees. 

IIT Kharagpur and IIT Roorke  are top class college for Architecture with indepth coverage to practical training and live case sfudy methodology woth consistent 80%aggregate placements . IIT Kharagpur is amongst top institute for ranking and accreditation as well.

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=sm_college_degree%3AB.Arch&sort_filter=parameter

Hi Sanju ,

You can join for btech ceramic and cement technology as a lateral entry(second year).

You have to sit for the national level or state level entrance exam conducted by varoius public and private Institution offering this course.

Admission procedure is based on All India level jee exam(

IIT is certainly best an dmost coveted institute with national importance and all older IIT Like Delhi, Munbai, Kharagpur, Guwahati,, Gandhingar, Madras, are some if topnotch for placements, faculty and learning methodology with an average package well above 4.5lpa every year  And having global recognition .