During the last school year, Chloe and Daniel took different subjects. Chloe's average quiz score in the first term was points higher than Daniel's. Chloe's average in the second term was points higher than her first term average and was points higher than Daniel's second term average. Which one of the following statements cannot possibly be true?
Chloe's quiz average for the school year was points higher than Daniel's.
Daniel's quiz average for the school year was higher than Chloe's.
Chloe's quiz average for the school year was points higher than Daniel's.
Chloe's quiz average for the school year equaled Daniel's.
If Daniel had scored points higher on each quiz he took, then he would have had the same average for the school year as Chloe.
