Harvard business school claims that 70 percent of its incoming class boasts a score of 700 or higher - the highest amongst the top 10 schools. Stanford GSB, one of the top 10 schools, meanwhile claims that over 40 percent of its incoming class has scores above 740- a percentage higher than even Harvard's.
If the statements above are true, which of the following must also be true?
(A) The percentage of students with scores higher than 760 is likely to be higher at Stanford than at Harvard.
(B) The total number of students with scores higher than 700 is greater for Harvard than for Stanford.
(C) Many admitted students at Harvard have scores between 700 and 740.
(D) Since Stanford admits fewer students than Harvard does, students with scores above 740 at Stanford are likely to be fewer than those at Harvard.
(E) The average GMAT score for a student at Stanford is likely to be higher than the average GMAT score for a student at Harvard.