Yes, you can easily get jobs in MNCs like L&T, TCS, Infotech, Wipro, etc. Getting into the IT sector is not that hard. Also, the companies that you mentioned don’t have any such university criteria. These companies recruit thousands of fresh graduates each year.
They usually conduct huge off-campus drives. Keep track of such drives. Apply when the registration is open. Be prepared with basic aptitude and programming and you should get the job you want.