A paper airplane flew right onto the back of Miss Kay as she was writing on the whiteboard. The suspects narrowed down to 3 students who were brought to the principal.

Below are the students’ replies when they were questioned by the principal

Joshua: I did not fly the paper airplane.
Paul: Neither did I!
James: Joshua did it!

To determine who flew the paper airplane, let's analyze the statements given by the three students.

1. Joshua says, "I did not fly the paper airplane."
2. Paul says, "Neither did I!"
3. James says, "Joshua did it!"

Based on these statements, we can make a few deductions.

First, we know that at least one of the students is lying because the paper airplane did not fly spontaneously. In other words, one of them flew it.

Next, if Joshua's statement is true, then either Paul or James is lying, because James accuses Joshua. But if Joshua's statement is false, then he must be the one who flew the paper airplane, making Paul and James' statements true.

Now let's consider Paul's statement. If Paul is lying, then he must be the one who flew the paper airplane. But if Paul is telling the truth, then Joshua must be lying. This aligns with what James claimed.

Therefore, we can conclude that Joshua is lying, and he is the one who flew the paper airplane. Paul and James are telling the truth.

So, Joshua is the culprit who flew the paper airplane onto Miss Kay's back.