As a rocket moves away from the Earth's surface, the rocket's weight...Multiple choice: A) increases B) decreases C) remains the same D) depends on...

The correct answer here is B -- the weight of the rocket decreases.

The point of this question appears to be the difference between weight and mass.  Mass is a measure of the amount that is in an object.  By definition, then, the mass of the rocket would not change as it moved away from Earth (not including, of course, the fuel it is burning).

However, weight is a measure of how strongly gravity pulls on a given object.  As the rocket moves away from Earth, the pull of the Earth's gravity on the rocket weakens.  So the weight of the rocket decreases.

Of course, if the rocket goes far enough and in the right direction, it might get heavier again as it comes under the influence of the gravitational attraction of some other body.