Engineering Entrance Exam

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Yes, you can get into one.

What is your general category rank?

Yes, you can get, but you have to wait for the last round of the counselling, as in the first round you might not get that, as in the first round student try to find for the best and hence they block 2-4 seats in best institute but till the last round they are confirmed that they have to go in that

Prefer any coaching printed booklets or hend written notes, for reading and prectice questions, and ncert must read.

Yes, it is possible. Just fill the PESSAT form once again (Last date to register is April 10). Sit for the exam. If you get a better seat go for it.
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Well, it is clearly mentioned in the Eligibility Criteria of GATE that only the candidates with following degree can appear for GATE for pursuing M.Tech.
Candidates with qualifications obtained through examinations conducted by professional societies recognized by UPSC/AICTE (e. g. AMIE by IE (I), AM

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Yes, candidates need to appear for PESSAT which is an All India Online Entrance Exam for admissions into various programmes offered by PES University including MBA. Candidates can secure admissions into programmes such as B.Tech, BBA in Hotel and Event Manage

KCET is only for the Karnataka students and PESSAT is for all other students. Even Karnataka students can sit for PESSAT. The last date for applying for PESSAT was April 10, 2018.
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You can do engineering in Coimbatore from CIT, PES, Karpagam, Kumaraguru, Hindustan, SNS, etc.