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GMAT Problem Solving (PS) | Re: In the department of Mathematics at Green University, more than half o

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duahsolo wrote:

In the department of Mathematics at Green University, more than half of the professors have an income in excess of $80,000 a year. Which of the following cannot be the average (arithmetic mean) annual income of the professors in the department?

A) $160,000
B) $120,000
C) $50,000
D) $45,000
E) $40,000


Let’s assume that exactly half of the professors make exactly $80,000 a year. Even if the other half of the professors do not make a penny, the average annual income of all of the professors would
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