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

 It is currently 21 Jan 2019, 03:50

### 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
Your Progress

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
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

# Is the average (arithmetic mean) of 5 different positive

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

### Hide Tags

Manager
Joined: 21 Feb 2012
Posts: 70
Location: India
Concentration: Finance, General Management
GMAT 1: 600 Q49 V23
GPA: 3.8
WE: Information Technology (Computer Software)
Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

07 May 2012, 07:55
6
28
00:00

Difficulty:

25% (medium)

Question Stats:

64% (00:27) correct 36% (00:24) wrong based on 1070 sessions

### HideShow timer Statistics

Is the average (arithmetic mean) of 5 different positive integers at least 30?

(1) Each of the integers is a multiple of 10
(2) The sum of the 5 integers is 160
##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

07 May 2012, 08:05
7
7
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.
_________________
##### General Discussion
Manager
Joined: 10 Jan 2011
Posts: 140
Location: India
GMAT Date: 07-16-2012
GPA: 3.4
WE: Consulting (Consulting)
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

15 Sep 2012, 06:25
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

Bunuel... nice way to explain.

However, don't you think statement A and B contradicts each other.

For example, As per statement 1, 5 numbers are multiple of 10; hence average should be mid number. (In your list 30 is the average)

As per statement 2, The average is 160/5 = 32. Now 32 is not the multiple of 10. By no means we can get 32 as average and 5 numbers multiple of 10

Please explain, am I missing something as this is GMAT prep problem
_________________

-------Analyze why option A in SC wrong-------

Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

15 Sep 2012, 07:14
1
nishtil wrote:
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

Bunuel... nice way to explain.

However, don't you think statement A and B contradicts each other.

For example, As per statement 1, 5 numbers are multiple of 10; hence average should be mid number. (In your list 30 is the average)

As per statement 2, The average is 160/5 = 32. Now 32 is not the multiple of 10. By no means we can get 32 as average and 5 numbers multiple of 10

Please explain, am I missing something as this is GMAT prep problem

We are not told that the integers are evenly spaced so it's not necessary that the average is the middle number (in my example, yes, I consider evenly spaced set, but it's just one of the cases). For example the set could be 10, 20, 30, 40, and 60 --> sum=160 --> average=160/5=32.

Hope it's clear.
_________________
Manager
Joined: 05 Nov 2012
Posts: 146
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

25 Dec 2012, 13:36
1
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

why cannot we consider 0,10,20,30,40? Isn't 0 taken as both positive and negative?
Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

26 Dec 2012, 02:38
2
Amateur wrote:
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

why cannot we consider 0,10,20,30,40? Isn't 0 taken as both positive and negative?

Positive numbers are greater than zero and negative numbers are less than zero. Zero is neither positive nor negative.
_________________
Intern
Joined: 07 Nov 2012
Posts: 6
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

28 Dec 2012, 17:45
1
Yea 0 is neither position nor negative. So the first five different positive numbers are 10,20,30,40,50.
Intern
Joined: 18 Mar 2012
Posts: 47
GPA: 3.7
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

20 Jan 2013, 06:04
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

The way I understood statement 1 is that since each of the integers is a multiple of 10 it could be: 10, 20, 20, 20, 20. How do you know that it must be increasing in order? (probably just a language issue).

Thanks!
Alex
Intern
Joined: 07 Nov 2012
Posts: 6
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

20 Jan 2013, 09:06
1
Says "5 different numbers" so you can't have 20 20 20 20. 10 20 30 40 50 is the lowest possible number w/ the given constraints.
Manager
Joined: 16 Oct 2012
Posts: 50
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

15 Jun 2013, 06:17
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

One question: is zero not considered as a multiple of any number?
Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

15 Jun 2013, 06:22
BankerRUS wrote:
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

One question: is zero not considered as a multiple of any number?

Yes, 0 is a multiple of every integer except 0 itself.
_________________
Manager
Joined: 13 Oct 2013
Posts: 139
Concentration: Strategy, Entrepreneurship
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

01 Sep 2015, 19:23
Hi Bunuel,
can we consider 0 as multiple of 10?

Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

_________________

---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way

CEO
Joined: 20 Mar 2014
Posts: 2636
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

01 Sep 2015, 19:36
sunita123 wrote:
Hi Bunuel,
can we consider 0 as multiple of 10?

Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

0 is a multiple of all positive integers.
Manager
Joined: 13 Oct 2013
Posts: 139
Concentration: Strategy, Entrepreneurship
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

01 Sep 2015, 20:04
Right. so why we are not considering , 0,10,20,30 & 40 here?

Engr2012 wrote:
sunita123 wrote:
Hi Bunuel,
can we consider 0 as multiple of 10?

Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

0 is a multiple of all positive integers.

_________________

---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way

CEO
Joined: 20 Mar 2014
Posts: 2636
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

01 Sep 2015, 20:11
sunita123 wrote:
Right. so why we are not considering , 0,10,20,30 & 40 here?

Because the set is composed of POSITIVE integers and 0 is neither positive nor negative.
Current Student
Status: Preparing for GMAT!!
Joined: 11 Oct 2015
Posts: 131
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 660 Q47 V34
GMAT 2: 700 Q48 V38
GPA: 3.1
WE: General Management (Entertainment and Sports)
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

29 Dec 2016, 06:46
piyushksharma wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

(1) Each of the integers is a multiple of 10
(2) The sum of the 5 integers is 160

1) AM of least 5 multiple of ten=10+20+30+40+50/3=30 => SUFFICIENT
2) Sum of 5 ints=160 => AM>30 => SUFFICIENT

D.
_________________

Yours,
Siva Rama Krishna Meka

VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1364
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

29 Dec 2016, 10:11
piyushksharma wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

(1) Each of the integers is a multiple of 10
(2) The sum of the 5 integers is 160

As per statement 1:

Multiples of 10: 10+20+30+40+50 = 150

150/5 = 30 Sufficient

As per statement 2:

Sum is 160 so 160/5 = 32

Sufficient

(D)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Intern
Joined: 15 Jul 2017
Posts: 2
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

23 Sep 2018, 19:58
Bunuel wrote:
BankerRUS wrote:
Bunuel wrote:
Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

One question: is zero not considered as a multiple of any number?

Yes, 0 is a multiple of every integer except 0 itself.

Why are we not considering 1 as multiple of 10?
Math Expert
Joined: 02 Sep 2009
Posts: 52336
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

23 Sep 2018, 20:00
shubhdeora wrote:
Why are we not considering 1 as multiple of 10?

1 is a factor (divisor) of 10, not a multiple of 10.
_________________
Intern
Joined: 15 Jul 2017
Posts: 2
Re: Is the average (arithmetic mean) of 5 different positive  [#permalink]

### Show Tags

23 Sep 2018, 20:07
Bunuel wrote:
shubhdeora wrote:
Why are we not considering 1 as multiple of 10?

1 is a factor (divisor) of 10, not a multiple of 10.

Thanks for the clarification.
Re: Is the average (arithmetic mean) of 5 different positive &nbs [#permalink] 23 Sep 2018, 20:07

Go to page    1   2    Next  [ 22 posts ]

Display posts from previous: Sort by

# Is the average (arithmetic mean) of 5 different positive

 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®.