Hello,
Yes you can appear for IIT JAM after your integrated Bsc and MSc course. There is no age limit criteria that candidates need to fulfill in order to appear for IIT JAM 2021.
Through IIT JAM, you can get admission into the M.Sc programmes offered which includes M.Sc. (Two Years), M.Sc.-Ph.D. Dual Degree, Joint M.Sc.-Ph.D., and other Post-UG Degrees Programmes at the different IITs and Integrated PhD degree programmes at the IISc, Bangalore.
Please note that there the are subject wise eligibility criteria for the courses which you want to opt.
You must have minimum 55% In your bachelor's degree of your General/OBC or minimum 50% if you are ST SC OBC.
Please visit this link for detailed information about eligibility criteria for IIT JAM

Hope it helps

SVNIT Surat

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