The answer are with some straight questions. I hope it helps you to decide.
- Do you really want to do Engineering?
- If Yes, which branch is your passion.
ECE: To play with Circuits & signals and upcoming technologies to merge with programming.
Mechanical: Designing? Robotics? Industrial? production?
Think about yourself after 5–10 years what you would like to do?
If you are planning to do MS, you would not mind which Engineering college to go for. If you want to do MBA, do with reputed B-schools only.
Companies like Infosys, Wipro, IBM, TCS, Capgemini and other big size companies(10k+ employees) will recruit and dump the freshers for testing/automation etc irrespective of what branch/college you are in.