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

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

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

by BTGmoderatorDC » Sun Aug 02, 2020 5:26 pm

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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

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Source: Beat The GMAT — Problem Solving | Sun Aug 02, 2020 5:26 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

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

by Jay@ManhattanReview » Sun Aug 02, 2020 9:57 pm

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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