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You can try foot NIT Calicut, NIT Kurukshetra, BIT Rourkela, NIT Srinagar and eastern side NITs. However, you have to wait until the last round or may be until the special round.

Yes,
You can get seat in Sastra in branches like ECE, EEE, civil and chemical engg.

No, you won't be able to get seat at the rank of 62,000 as it's one of the top colleges in Bangelore. There criteria is ranking below 10,000 to get a CET seat or you can take direct admission.

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No, in order to do BA (Hons) Economics, one has to study maths as a subject. It is compulsory.

Yes, you are eligible. As per eligibility criteria of B.Sc (IT), the candidate shall have passed XII standard examination of the Maharashtra Board of Higher Secondary Education or its equivalent to Mathematics and Statistics as one of the subjects and should have secured not less than 45% marks in aggregate for open category and 40% marks in aggregate in case of reserved category candidates.

Doing a crash course for KEAM would be helpful or you could just practice by going through previous year papers and studying for at least 2 hours a day.

It's not possible for you to get admission in any of the NITs as there are only 559 seats in all of the NITs. And those who get more than 99.3 percentile can only get admission in NITs.
And even the minimum eligibility in any of the NIT is getting minimum 75% in 12th.

Yes, Either you can apply through cap round (college code is 6179) or you take direct admission through institute quota. You must have 150 marks in 12th PCM.

First, you should go for IITs and 2nd, you should try for NITs and at last, you should go for private colleges.

It's not possible for you to get admission in any of the NITs as there are only 559 seats in all NITs for B.Arch and the minimum eligibility for getting admission in any of the NIT is 75% or more in 12th. Since you have not crossed both the eligibility, you cannot take admission in NITs.

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Thank you.

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Hello, It totally depends on the cut off marks of JEE counselling.

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It's not available online.

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