NIMS University

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https://www.google.co.in/amp/s/www.shiksha.com/it-software/course/amp/bachelor-of-computer-application-nims-university-nims-jaipur-84609
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Please refer to the link below for the details:
https://www.shiksha.com/university/nims-university/exams/nimsee

The basic eligibility criteria for BE/ B.Tech in Agricultural Engineering is 10+2 or equivalent with Physics, Chemistry, Mathematics and preferably Biology. Duration of bachelors course in agricultural engineering is 4 years. Besides the required educational qualification, the candidates have to appear for the entrance examination conducted at the State level, National level or University level.

Candidates appeared in 10+2 board examination Science and Mathematics from any recognized university or equivalent board, will be eligible to apply in B.Tech programme. To accomplish the eligibility of B.Tech Lateral entry the candidates need to hold a Polytechnic Diploma in relevant discipline in case they want admission directly in the 3rd semester.

B.Tech lateral entry course is provided by NIMS University, but not necessarily for petroleum engineering, you need to check with the college for the same.
https://www.shiksha.com/b-tech/course/b-tech-lateral-entry-nims-university-nims-jaipur-236275