Hi there,

Eligibility criteria of Common Entrance Test differ according to course. Generally common entrance test Eligibility criteria is following:

Candidates should have qualified their 10+2 standards from a recognized board.

Candidates should have scored minimum of 50% or as specified by authorities.  Reserved category may get benefit in minimum percentage requirement .

Candidates should have studied compulsory subjects as specified by exam authorities.

So, you will be able to appear in common entrance test after passing your improvement exam.

Hope it helps you

Good luck!