JMI Entrance Exam

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I found a link for you. Maybe, it helps-
https://www.shiksha.com/university/jamia-millia-islamia-jmi/jamia-millia-islamia-entrance-exam-question-papers.

Structure of the M.Tech Entrance Exams
The GATE examination comprises of only one paper which is of 3 hours duration. It contains 60 questions. The paper carries a maximum of 100 marks. The question paper consists of only objective type multiple choice questions. The candidate will be provided with four alternate options. They have to mark the right answer on the Optical Response Sheet by darkening the bubble against a particular question
Environmental Engineering
Water requirements
Air Pollution
Municipal Solid Wastes
Noise Pollution
Surveying.

The exam will be conducted from 21 May '19 -13 Jul '19. For further details refer the link: https://www.shiksha.com/university/jamia-millia-islamia-jmi/jamia-millia-islamia-entrance-exam?course=1159.

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No, LEET exam is not available, you can apply for Bachelor of engineering.

Here is the list of books-
http://entrance-exam.net/reference-books-for-mtech-in-digital-electronics-communication-systems/.