A color filter will selectively absorb a range of light colors. That is, specific colors of light are blocked by the filter and not allowed to pass through. The colors of light that approach the filter and are not blocked (or absorbed) will be transmitted through the filter and illuminate the screen. It is the transmitted light that affects the color of the screen.
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Color Filters - help9
There are two similar versions of this question. Here is one of those versions:
Version 1:
Red, green, and blue light is incident upon two different color filters. The light passing through the filters and illuminates a white screen. What will be the color appearance of the screen?
Try this link to The Physics Classroom Tutorial for more help with the understanding how filters interact with the incident light:
Color Subtraction