Let's put this discussion back to perspective. Perhaps the question to TS should be: what value can you bring to the table? Can you:

- Perform VaR calculations, know what is Basel II and III? Consider risk management.
- Can you code C/C++? Fix bigs? IT department welcomes you.
- Can you provide a profitable trading strategy, and write algos? Front-office for you?
- Do you like quant research, reading up on journals and prove the mathematical side of things? Consider a quantitative research analyst role.
- Do you like to talk to customers with in-depth knowledge of products like insurance? Sales and trading could be for you.

A first class is nothing if you know none of the above. The roles you've talked about typically requires 3+ years of experience. Your best bet is to see where you can get placed in entry-level roles, through internships or through a recruiter.