Locative prepositions

Solution 1:

On a multiple-choice exam, the instruction "choose the 100% completely INCORRECT sentence" means nothing of the kind—unless (depending on how sneaky the exam giver is) one of the answers is "None of the above." Rather, the instruction means "choose the sentence that is more wrong than the others" (if most of the options are at least a little bit wrong) or "choose the sentence that is closest to being wrong (if most of the options are more or less correct). Any other way of reading the question is an exercise in self-defeating self-gratification ("I'm right and the test is wrong, and I've got the F to prove it!"). I speak as one who has endured many self-inflicted wounds out of vanity.

As both John Lawler and Araucaria indicate in comments above, the answer to the question "Which of the sentences is closer to being wrong than the others?" is obvious—and the poster achknowledges that obviousness by easily identifying places to put a book on, on top of, or under a generic table that may or may not have any features besides one or more vertical supports and a flat horizontal surface—but finding it necessary to specify a table with either an inner shelf or a drawer in order to put the book in it.

Even then, idiomatically, it is highly unusual for a fluent English speaker to answer a question such as "Where's the tape?" with "It's in the table." Far more common is the reply, "It's in the table drawer" or "it's in the shelf of the table." A Google Books search for "in the table" returns very few matches for table as "piece of furniture capable of holding a book"; the vast majority of the matches are for table in the sense of "chart of tabulated data."

Which option is closest to being 100% completely INCORRECT? The one you have to add shelves and drawers to.

Update (1/24/17): Just in case the comments below disappear at some point, I want to include the OP's startling punchline, which appeared following all of my pontificating (above):

It's incredible, but the correct answer was "ON TOP OF". So, according to this test, it is possible to say ON THE TABLE, IN THE TABLE and UNDER THE TABLE, and it is incorrect to say ON TOP OF THE TABLE. Crazy people, poor kids.

There's a lesson here for me (and perhaps for other question answerers at this site) about the hazards of thinking that I've got everything figured out.