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Jeopardy online test 2011 will take place this week while registration is going on. For those who wanted to take that Jeopardy online test, you must meet the following requirements, age 18 over, have not appeared on the Alex Trebek version of the classic game show,full-time undergraduates with no previous bachelor's degree. For teens, must be between the ages of 13 and 17 years old while Kids must be between the ages of 10 and 12 years old are also invited to participate in this year's online test.
jeopardy online test

You can still register on the official Jeopardy! website.

Here's more about Jeopardy game show. Jeopardy online test serves as an audition.
Jeopardy! is a game show created by Merv Griffin. The program's original version first aired in 1964 and was hosted by Art Fleming. The current version of the show premiered in 1984, and has been hosted by Alex Trebek. Throughout the show's run, the production staff has offered auditions for potential contestants. Tryouts take place in the Los Angeles area, and occasionally in other locations throughout the United States, in Canada, and at U.S. military installations abroad. Anyone who is at least 18 years old may audition, unless one is auditioning for one of the special programs, such as the Teen Tournament (ages 13–17), Kids Week (ages 10–12), or the College Championship (full-time undergraduate students).
According Jeopary online test website,

You are not eligible to be a contestant on JEOPARDY! if you have appeared on any version of the show with Alex Trebek. You are not eligible to be a contestant on JEOPARDY! if you have appeared on a nationally broadcast game show/dating show/relationship show/reality show in the last year or three game shows/dating shows/relationship shows/reality shows in the last 10 years. You may not be eligible to play on JEOPARDY! if you are employed by, related to, or within the last five years known anyone who works for Sony Pictures Entertainment Inc., CBS Television Distribution, Sullivan Compliance Company, or any television stations broadcasting Wheel of Fortune or JEOPARDY!

You can also take Jeopardy online test at their website http://www.jeopardy.com/ and also take practice test here.