The average of five positive integers is less than 20. What is the smallest possible median of this set?

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BTGmoderatorDC wrote:
Sun Aug 02, 2020 5:26 pm
The average of five positive integers is less than 20. What is the smallest possible median of this set?

(A) 19

(B) 10

(C) 4

(D) 3

(E) 1

OA E

Source: Magoosh
Note that the question does not mention that the five positive integers are district. Say the five positive integers are 1, each; thus, median = 1, and the average = 1 < 20.

Correct answer: E

Hope this helps!

-Jay
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