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As per the WBJEE 2019 Eligibility Criteria,

There is no upper limit for B.Tech programmes except for Marine Engineering where the upper age limit is 25 years as on December 31, 2019.

Academic Qualification: The candidates should have qualified his/ her 10+2 (or equivalent) examination with Physics and Mathematics along with any one of Chemistry/ Biology/ Biotechnology/ Computer Science/ Computer Application as compulsory subjects with individual passing marks (in both theory and practical wherever applicable) in all the three subjects mentioned above in regular class mode.

Marks Required: General category candidates should have secured an aggregate of 45% and reserved category candidates should have scored 40% in the above three subjects taken together to be eligible for WBJEE 2019. All candidates are required to have qualified English in 10+2 with atleast 30% marks.

If you are able to satisfy the above Criteria, you can give WBJEE 2019.

All the best.