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Last month 15 homes were sold in Town X. The average(arithmetic mean)

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Last month 15 homes were sold in Town X. The average(arithmetic mean) [#permalink]

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New post 04 Jan 2018, 04:02
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Last month 15 homes were sold in Town X. The average(arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true ?

I. At least one of the homes was sold for more than $165,000
II. At least one of the homes was sold for more than $130,000 and less than $150,000.
III. At least one of the homes was sold for less than $130,000

A) I only
B) II only
C) III only
D) I and II
E) I and III
[Reveal] Spoiler: OA

Kudos [?]: 0 [0], given: 3

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V
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139674 [0], given: 12794

Re: Last month 15 homes were sold in Town X. The average(arithmetic mean) [#permalink]

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New post 04 Jan 2018, 04:42
TurningPages wrote:
Last month 15 homes were sold in Town X. The average(arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true ?

I. At least one of the homes was sold for more than $165,000
II. At least one of the homes was sold for more than $130,000 and less than $150,000.
III. At least one of the homes was sold for less than $130,000

A) I only
B) II only
C) III only
D) I and II
E) I and III


Discussed here: https://gmatclub.com/forum/last-month-1 ... 28477.html

Hope it helps.
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Kudos [?]: 139674 [0], given: 12794

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139674 [0], given: 12794

Re: Last month 15 homes were sold in Town X. The average(arithmetic mean) [#permalink]

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New post 04 Jan 2018, 07:02
TurningPages wrote:
Last month 15 homes were sold in Town X. The average(arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true ?

I. At least one of the homes was sold for more than $165,000
II. At least one of the homes was sold for more than $130,000 and less than $150,000.
III. At least one of the homes was sold for less than $130,000

A) I only
B) II only
C) III only
D) I and II
E) I and III


Please search before posting. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139674 [0], given: 12794

Re: Last month 15 homes were sold in Town X. The average(arithmetic mean)   [#permalink] 04 Jan 2018, 07:02
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Last month 15 homes were sold in Town X. The average(arithmetic mean)

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