Point Y is the circumcenter of triangle DEF which statement is true about point Y

If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.