JAM

General Eligibility Criteria
Indian national, as well as foreign nationals, are eligible for JAM.
Candidates applying for JAM should have Bachelor's degree as a qualifying examination degree.
The qualifying examination must be passed with minimum 55% aggregate marks (in all subjects including Languages and Subsidiaries, all years combined) without rounding off.
Candidates belonging from SC/ST category are required to obtain at least 50% aggregate marks, without rounding off.
In case of grading system/CGPA, the equivalence in percentage of marks will be decided by the admitting Institute.
Candidates who are pursuing the qualifying examination have to submit the proof of passing the qualifying examination to the admitted institute by 30th of September 2018.
There is no restriction on the upper age limit for JAM.

As far as I know, there is no part time IIT JAM. You will have to devote yourself to the exam if you want to secure a passing grade in the exam and qualify for M.Tech or M.Sc.
JAM 2018 eligibility criteria:
The common criteria across institutes for each programme are:
JAM eligibility criteria is common for each program across institutes for appearing in the postgraduate science admission test.
The candidates should have secured at least 55% in subjects including languages and subsidiaries of all the years combined. Those, however, belonging to SC/ST and OBC categories need to secure at least 50 percent marks in the subjects.
Candidates need to note that equivalence of marks in case of grades in letter/CGPA (and not in percentage of marks) will be decided by the participating institutes of JAM.
As per the JAM eligibility criteria 2018, candidates will need to submit their proof of qualifying degree examinations by September 30th, 2018 to the admitting institute. However, upon failing to do so will lead to cancellation of their candidature.