After completing B.E. in mechanical engineering there are some entrance examination you need to crack to bring your career further. Here I am telling you the names of some entrance examinations:

GATE

CDS exam & UES exam

RRB,

IRS,

SCRA

IBPS

VRA exam

IAS,

IPS,

IFS

TATA written test

You can also apply for the entrance examination of following companies

Bharat Sanchar Nigam Limited
Tata Consultancy Services
Bharti Airtel Limited
Wipro Ltd
Infosys Technologies Limited
Hewlett-Packard India
HCL Infosystems Limited
Reliance Communications Ltd
LG Electronics India Pvt Ltd
IBM India Pvt Ltd
Videocon Industries Ltd
HCL Technologies Limited
Satyam Computer Services Ltd
Siemens Ltd.
Samsung India Electronics Pvt. Ltd.
Mahanagar Telephone Nigam Ltd
Redington (India) Limited
Cognizant Technology Solutions
Idea Cellular Ltd
Videsh Sanchar Nigam Limited
Bharat Electronics Limited
Tech Mahindra Limited
Philips Electronics India Ltd
Bharti Teletech
Sony India Limited
Moser-Baer India Ltd
i-flex Solutions Ltd
Exide Industries Ltd
ITI Limited
MphasiS Limited
JINDAL
Maruti
Hind Motor
TATA
SAIL
BHEL(recruit some mechanical engineering student)
Indian Railway etc etc.