Anna University

Yes, you can, try.
Visit this link to check B.Arch colleges based upon your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6919840
Then visit this link for various colleges which provides you brochure:
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-india

Yes, TANATA 2018 will be conducted in Anna University.

Per year fee is INR 36,250 + hostel and total fee will be INR 1,45,000 +hostel and mess.

Hello Siva Priya,
The cut-off score varies every year from each category to the other. So, it is difficult to predict the scores. You need to wait till the rank list is released so that, you can know your chances.
All the best.

Click on the link and watch the video till the end to get an idea about how to find the probable list of colleges you might get on the basis of your rank:
https://youtu.be/hOlit6Un7l0

You have to apply through TNEA 2018 for getting Admission in Anna University. There is a different quota for Non-Tamil Nadu State Students. More details about TNEA 2018 is on the link below.
https://www.shiksha.com/university/anna-university/exams/tnea
https://tnea.ac.in/adata/index.php
Apply for TNEA and sit for Counselling. More details are on Anna University's Website.
https://www.annauniv.edu/
You can also call or email them for more details. Number below is contact number of Anna University.
044 2235 1126
All the Best.!

It is around 60,000 overall for 2 years MBA.

Hello Jawajar,Kindly refer the following link for the step by step procedure to apply for counselling "http://www.gct.ac.in/tn-mbamca-information-centre”. The Tancet participating colleges is also given in the link. 46 is a good score. You have definite chance of getting admission in to a good college. All the best.