Yes, you can definitely appear. But you need to clear your final year and second year back subject within a stipulated time period of starting of the college you take admission in, or else your admission is likely to be cancelled.

All the best!

Hi Dear, 

yes you can give the exam in the 3rd year of your graduation there is no problem if you apply in last year so go for it don't worry, 

i hope this informtaion is helpfu for you 

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good luck