GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jan 2019, 10:46

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If the average (arithmetic mean) of five positive numbers is 30, how

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52294
If the average (arithmetic mean) of five positive numbers is 30, how  [#permalink]

### Show Tags

27 Dec 2017, 23:28
00:00

Difficulty:

35% (medium)

Question Stats:

83% (01:16) correct 17% (00:40) wrong based on 17 sessions

### HideShow timer Statistics

If the average (arithmetic mean) of five positive numbers is 30, how many of the numbers are greater than 30?

(1) None of the five numbers is equal to 10.
(2) The average (arithmetic mean) of the four smallest numbers is 4.

_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 868
Re: If the average (arithmetic mean) of five positive numbers is 30, how  [#permalink]

### Show Tags

28 Dec 2017, 03:26
Bunuel wrote:
If the average (arithmetic mean) of five positive numbers is 30, how many of the numbers are greater than 30?

(1) None of the five numbers is equal to 10.
(2) The average (arithmetic mean) of the four smallest numbers is 4.

We'll try a few numbers to help us understand the logic.
This is an Alternative approach.

(1) We can choose all our numbers to be 30 or have all 30 except for one 29 and one 31
Insufficient.

(2) Let's try making the 4 smallest numbers exactly 4. Then the last number is definitely larger than 30.
We've seen that we can make 1 number greater than 30; next we'll try to make 2 numbers greater than 30.
Say our two largest numbers are 31 and 31. Then the 4 smallest numbers are 31, x, y, z.
These must have an average of 4 so (31+x+y+z)/4 = 4 --> 31+x+y+z = 16 --> x+y+z=16-31<0
But all our numbers are positive! This is impossible, and therefore (2) is sufficient to answer the question.

(B) is our answer.
_________________
Re: If the average (arithmetic mean) of five positive numbers is 30, how &nbs [#permalink] 28 Dec 2017, 03:26
Display posts from previous: Sort by

# If the average (arithmetic mean) of five positive numbers is 30, how

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.