I understand that you use the verb take before or while answering the exam.
When you're done, you can use the verbs complete or finished.
Does it sound natural to use take after the exam?
I will take the exam tomorrow.
They are currently taking the exam.
When you're done, you can use the verbs complete or finished.
I completed/finished the exam yesterday.
Does it sound natural to use take after the exam?
He left the room after taking the exam.
After taking the exam, she stayed and mingled with the rest of her classmates who were done.