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For the GATE (Graduate Aptitude Test in Engineering) exam, it’s crucial that the name on your application form matches the name on your official identity proof, as it will be verified during the exam process.

In your case, where your marks card has the full middle name  but your ID proof has only the initial of your middle name, it’s advisable to use the name exactly as it appears on your ID proof while applying for GATE. The GATE authorities primarily check the consistency of the name with the ID proof that you present at the time of the exam. If there's any mismatch between the name on the application and the ID proof, it could lead to problems during verification.