What are the skills reqired to persue electronic, electrical, mechanical and mathematics and computing. Please answer about each branch mentioned

Dear Studenmt, The branches you are interested in would require a strong mathematical background along with physics and chemistry. Chemistry alone is not sufficient. You need math and physics as one has to model process with mathematical equations, algorithms etc even if they are biological ones.

Also you need to know that chemistry doesn't qualify you for chemical engineering either. In fact the bio engineering courses are mostly chemical engineering courses as one needs to study the transport process even in biological systems and this is taught only in chemical engineering. 

You need to see the prerequisites reg courses for the engineering branches you mentioned, do some more research and then you may find an appropriate answer to your queries, I may suggestbnames of some hoghly reputed institutions for youir consideration – BHU, Varanasi,..................JJTU, Jhunjhunu,................LPU, Phagwara