In a classroom, there are four students - Tom, Jerry, Kim, and Lucy. The teacher hides a surprise gift somewhere in the room before leaving for lunch. Tom finds out that the gift is not under any desks. He shares this information with Jerry and Kim but not with Lucy. Later, Jerry discovers that the gift is not on any shelves either. He decides to keep this information to himself. When the teacher returns, what will each student think about the possible location of the gift based on their knowledge?

Provide a short response.
Tom knows the gift is not under any desks because he found this information and shared it with Jerry and Kim. Since he has not received any more information, Tom will think the gift could still be on shelves or anywhere else in the room except under the desks.

Jerry knows the gift is neither under any desks nor on any shelves. He learned that it wasn't under any desks from Tom, and he discovered himself that it wasn't on the shelves. Jerry will therefore think the gift could be in other places in the room, such as in cabinets, in the teacher's desk, or hidden in some other area of the classroom that isn't a desk or shelf.

Kim has the same information as Tom, knowing the gift isn't under the desks thanks to Tom sharing that with her. She does not know about the shelves because Jerry chose not to share what he discovered. So, Kim will think the gift could be on the shelves or in other places in the classroom that aren't under a desk.

Lucy didn't receive any information from Tom or Jerry, so she doesn't know about the limitations that the other students are aware of. Lucy will think the gift could be under the desks, on the shelves, or anywhere else in the classroom because she has not been informed otherwise.