AVRonaldo wrote:

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.

So let's assume that the number of students who scored 700 or higher in Harvard = 70H (70% of admitted students)

So the number Of students who scored less than 700 must be = 30H

The number of students who scored above 740 or higher in Stanford = 40S (40% of admitted students in Stanford)

Also it has been given that this 40% is higher than Harvard.

So lets take the extreme case of 39% of students in Harvard have scored above 740. i.e 39H

Using the above assumed variables, subtracting from the overall 70H students we can understand that 31H students have scored between 700 and 740.

now let's look at the answer choices:

A) The percentage of students with scores higher than 760 is likely to be higher at Stanford than at Harvard.

Cannot be inferred. We cannot derive this percentage info about 760 using the information given in the passageB) The total number of students with scores higher than 700 is greater for Harvard than for Stanford.

Cannot be inferred. We know that 70H students have scored above 700 in Harvard. Since we do not have any concrete value for H, we cannot get actual numbers to do the comparison. Same goes for Stanford as wellC) Many admitted students at Harvard have scores between 700 and 740.

This is correct. As derived above, 31H students fall under the 700 and 740 category. That's like 1/3rd of the class strength. So this looks true and since the other options are wrong for valid reasons, this is the Correct answerD) Since Stanford admits fewer students than Harvard does, students with scores above 740 at Stanford are likely to be fewer than those at Harvard.

This is not true always. We are given a new info in this statement that S<H. Using the above assumed equations and from the statement, we know that --> if S<H then 40S<39H. Substituting numbers, we can understand that it is not always true. Use S = 20 & H = 21 and its true. Use S= 100 & H = 101 and its falseE) The average GMAT score for a student at Stanford is likely to be higher than the average GMAT score for a student at Harvard.

Cannot be inferred. We cannot derive this GMAT average using the information given in the passage. As highlighted in option B, we will need solid numbers to calculate the averageHope my explanation made sense