Correct Answer: taking an exam

Solution : The second option is correct.

Given the context of someone's engagement or action related to an exam five years from now, taking an exam is the appropriate choice to complete the sentence, indicating participation in an exam at that future time.

The meanings of other options are as follows:

• Making an exam : This phrase suggests creating or constructing an exam, designing the questions, and formatting the tests.
• Keeping an exam : This phrase implies storing or retaining an exam, perhaps for future reference or to safeguard it.
• Frying an exam : This phrase does not make sense in the context of exams. Frying is a cooking term that involves cooking something in hot oil, which has no relevance to the idea of an exam.

Therefore, the correct sentence is: I am taking an exam after 5 years.