Hey Aanchal,
Yes you can get Govt institutes through MP PET.
Hereby is the list of colleges in Madhya Pradesh for engineering:
Swami Vivekanand University, Sagar
Jawaharlal Nehru Krishi Vishwavidyalaya, Jabalpur
Mahatma Gandhi Chitrakoot Gramodaya, Chitrakoot
AKS University, Satna
Aditya College of Technology and Science, Satna

Madhya Pradesh Pre-Engineering Test (MP PET 2019) is one of the most prestigious State-level examinations.

I hope this will help you out, for further query you can comment below without any hesitation.
All the best.

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