As you want to get the list of entrance exams which can be given by you through MPSC and UPSC after completing B.E Mechanical Engineering and also with 3.5 years of Industrial experience so here is the information of the same for you:

I want to tell you that there are not lots of exams for you guys

You can give the exams like

IAS officer,

IPS Officer,

Grade I,

Grade II,

Grade III,

Grade IV officers,

IES officer

and many more completing BE Mechanical, and having around 3.5 years of Industrial experience.

To be eligible for the civil services exams:

Candidates must have attained the age of at least 21 years of age at the time of applying for Civil Services (Preliminary) Exam form and not more than 30 years of age

Candidates must have passed graduation in any discipline of any of the Universities or possess an equivalent qualification.

Final year candidates can also appear for the IAS and IPS Preliminary examination