The following diagram shows various positions of the moon in its orbit around earth. the image of the moon shows its phase as seen from earth. in which position will three-fourths of the illuminated side of the moon be visible from earth? a) a b) b c) c d) d

Three-fourths of the illuminated side of the moon be visible
from Earth when the moon is at position-B.  (choice-B)

Notice the particularly egregious screw-up on the drawing at the
"Third Quarter" position.  There, the drawing shows the illuminated 
side of the moon AWAY from the sun, and the dark side of the moon
TOWARD the sun.  That's about as silly as you can get.