Formal:
* कार्य (Kaarya): This is the most common and general term for "assignment" in Hindi. It's a broad term that can refer to any task or duty.
* निर्देश (Nirdēś): This word implies a specific instruction or order, often given by a superior.
* कार्यभार (Kaaryaabhaar): This means "workload" or "burden of work" and is used for a large or significant assignment.
* नियुक्ति (Niyukti): This word refers to an official appointment or assignment to a specific role or duty.
Informal:
* काम (Kaam): This is a general word for "work" and can be used informally to mean "assignment."
* घरेलू कार्य (Gharelu kaarya): This means "household work" and can be used for an assignment related to home tasks.
* काम सौंपना (Kaam saunpana): This literally means "to assign work" and can be used to describe the act of giving someone an assignment.
Academic:
* गृहकार्य (Griha karya): This means "homework" and is specifically used for school assignments.
* परियोजना (Pariyojana): This means "project" and is used for larger, more complex assignments.
The best word to use will depend on the specific context and your intended meaning.