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Source: Official Guide Revised GRE 1st Ed. Part 6; Set 2; #5


Among the 9,000 people attending a football game

Among the 9,000 people attending a football game at College C, there were x students from College C and y students who were not from College C. Quantity A : The number of people attending the game who were not students Quantity B : 9,000-x-y Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.

2 Explanations



Doesn't this question assume that the term "student" only refers to college student? What about high school students who are 1. students and 2. NOT in x or y.

Nov 8, 2019 • Comment


Hi Elizabeth!
No, "student" here means any student, in college or not. So it counts high school students. The variable "x" represents students from College C, so those are all college students. But the variable "y" includes all students who aren't at College C. These students could be at different colleges, or in high school, or even kindergarten. Together, x + y = all students at all schools, even high school and below. So no one can be a student and not in x or y.
Hope that helps!

Nov 23, 2019 • Reply


Chris Lele

Oct 7, 2012 • Comment

Ismail Nooraddini

This remains nebulous. If there were 9000 people attending the game, and x is the number of students from college, and y the number of students not from the college, then this formula does not answer the question. In fact Quantity B would be Zero.

Lets try something out

9000 students
x = students 5000
y = non-students 4000

# of people attending game who were not from college c

9000-5000-4000 then no one would be at the game. But Quantity A is asking for those who were not students.

So wouldn't it be 9000 - 4000, or 5000 students attended the game who were students. This is greater than B, which is Zero.

Mar 12, 2016 • Reply

Cydney Seigerman, Magoosh Tutor

Hi Ismail :)

In this question, y is not the number of non-students at the game but rather the number of students who are not from College C. This is an important distinction to make! Both x and y therefore represent quantities of students. For that reason, we need to subtract both x and y from 9000 (the total number of people at the game) to determine the number of non-students at the game.

I hope this clears up your doubts!

Mar 14, 2016 • Reply

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