Ok as you are asking for the IIT JEE exam eligibility

If you are willing to pursue the B.Tech through IIT JEE exam after the BSC . Then you are able to get admission in the B.Tech 2nd year directly Through lateral entry admission

LEET is common entrance exam for lateral entry for getting admission in the B.Tech

Lateral Entry Entrance Test (LEET)

Eligibility Criteria:

For B.E. / B. Tech Courses:

Candidates should have diploma in Engineering / Technology or its equivalent degree with aggregate of at least 60% (or according to the university applied for) marks from recognized State Board / university / institution of Technical Education.

Candidates who have B.Sc. Degree or diploma in Architecture Engineering from a recognized University affiliated by UGC and have completed intermediate with mathematics as a subject are also eligible for LEET exam.

Candidates belongs to reserved category will be relaxed in percentage of marks.

Essentials Certificates Required:

Candidates must have all supported certificates with 5 sets of Photocopies attested / self attested as described below:

SSLC / 10th Mark sheet & Pass Certificate in original
Diploma mark sheet & Pass certificate in original
Physical fitness certificate
Photographs of students
Community and Income certificate in original
Allotment memorandum in original
Bank Receipt in original
Migration certificate in original
Admit card of Lateral Entry Entrance Test (LEET) in original
Data sheet of LEET in original
TC issued by last institution in original

LEET Exam Pattern:

LEET exam is mostly consists of questions from 4 sections i.e. Basic Sciences, Mechanical Stream Courses, Electronics Stream Courses, and Other Engineering Streams or accordingly to the different university pattern.

The exam will chiefly include total of 90 objectives multiple choice types questions (MCQs) belongs to different subjects which are to be finished within provided time period of 60 minutes i.e. 1 hour.

There will be Negative Marking or no in this exam as per the different rules of a variety of university / institution.