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To apply for lateral entry B.Tech ECE in Sastra for the year 2021, you can follow the below steps:
1. Visit the official website of Sastra University.
2. Look for the "Admission" section and click on it.
3. In the Admission section, you will find the option for Lateral Entry. Click on it.
4. You will be redirected to the Lateral Entry Admission page. Read all the instructions carefully.
5. Click on the "Apply Now" button to start the application process.
6. Register by providing your personal details such as name, date of birth, email id, and mobile number.
7. After successful registration, log in to your account using your email id and password.
8. Fill the application form with all the required details such as academic qualification, work experience, etc.
9. Upload the scanned copies of all the required documents such as mark sheets, ID proof, passport size photograph, and signature.
10. Pay the application fee through the available payment modes.
11. Review the application form before submitting it.
12. Click on the "Submit" button to submit your application. After the submission of the application form, you will receive a confirmation message on your registered email id and mobile number.

Firstly, being a Muslim Minority category candidate, you may be eligible for a certain percentage of seats reserved for minority candidates in MJCT College. This may increase your chances of getting admission, but the final decision will depend on the availability of seats and the number of candidates who have applied for admission. Secondly, the cut-off rank for admission may vary depending on the branch of engineering you are interested in pursuing. Some branches may have a higher demand, and hence, the cut-off rank may be higher compared to other branches. Based on the above information, it is difficult to provide you with a definite answer regarding your chances of getting admission to MJCT College. However, I would recommend that you contact the college authorities or visit their official website for more information about the admission process and the cut-off ranks for different branches of engineering. Additionally, you may also consider applying to other engineering colleges based on your rank and preferences to increase your chances of securing admission.