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

 It is currently 21 Nov 2018, 06:10

# LBS is Calling R1 Admits - Join Chat Room to Catch the Latest Action

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If the average (arithmetic mean) of 5 different numbers is 12, what is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50729
If the average (arithmetic mean) of 5 different numbers is 12, what is  [#permalink]

### Show Tags

12 Nov 2017, 22:49
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:30) correct 43% (01:18) wrong based on 36 sessions

### HideShow timer Statistics

If the average (arithmetic mean) of 5 different numbers is 12, what is the median of the 5 numbers?

(1) The median of the 5 numbers is equal to 1/3 of the sum of the 4 numbers other than the median.
(2) The sum of the 4 numbers other than the median is equal to 45.

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 321
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If the average (arithmetic mean) of 5 different numbers is 12, what is  [#permalink]

### Show Tags

12 Nov 2017, 22:57
D

Let the five numbers be a,b,c,d,e with c as the median.
Now a+b+c+d+e=5*12
=60

From st1
c=1/3*(a+b+d+e)
3c=a+b+d+e
Using question stem,
3c=60-c
Solving c=15. Sufficient

From st2
c+45=60
Solving
c=15

Sufficient

Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Senior Manager
Joined: 02 Jul 2017
Posts: 293
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: If the average (arithmetic mean) of 5 different numbers is 12, what is  [#permalink]

### Show Tags

12 Nov 2017, 23:10
Let numbers be a,b,c,d,e and median be c

average = 12 = (a+b+c+d+e)/5
=> a+b+c+d+e = 60

(1) The median of the 5 numbers is equal to 1/3 of the sum of the 4 numbers other than the median.
Given c = (a+b+d+e)/3
=> a+b+d+e = 3c

as a+b+c+d+e = 60
=> 3c+c=60
=> 4c=60
c=15
Sufficient

(2) The sum of the 4 numbers other than the median is equal to 45.
given a+b+d+e = 45

as a+b+c+d+e = 60
=> 45+c=60
c=15
Sufficient

Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If the average (arithmetic mean) of 5 different numbers is 12, what is  [#permalink]

### Show Tags

12 Nov 2017, 23:30
Since we are given the average, we can find total Sum of the numbers which equals 5*12=60
(1) We can find the Median in terms of other 4 numbers in the set:
M=1/3*(x1+x2+x3+x4)
(x1+x2+x3+x4)=3M
3M+M=60
M=15
(2) x1+x2+x3+x4+M=60
45+M=60
M=15

Sufficient.

Re: If the average (arithmetic mean) of 5 different numbers is 12, what is &nbs [#permalink] 12 Nov 2017, 23:30
Display posts from previous: Sort by