NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 11:50 It is currently 26 Apr 2024, 11:50
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
S
Bounce1987
Manager
Manager
Joined: 06 Jul 2014
Posts: 71
Own Kudos [?]: 125 [7]
Given Kudos: 194
Location: India
Concentration: Finance, Entrepreneurship
Schools: Weatherhead '21 Mason '21
GMAT 1: 660 Q48 V32
Send PM
GMAT ToolKit User Reviews Badge
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   15 Sep 2017, 15:12
1
Kudos
6
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

62% (01:20) correct 38% (01:07) wrong based on 277 sessions
Hide Show timer Statistics
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.
ShowHide Answer
Official Answer
C
avatar
mrmortezajafari
Intern
Intern
Joined: 15 Jul 2017
Posts: 7
Own Kudos [?]: 2 [1]
Given Kudos: 1
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   15 Sep 2017, 16:22
1
Kudos
A. This can not determine the value of x. In other word, the value can be 20 or 11. So insufficient.

B. If value of x is lower than 10, it would be necessary to be determined. But if the value of x is equals or higher than 10, it would be determinable. So insufficient.

(1) & (2) says that x is higher than 9. So the value of x is:
(2+4+6+8+10+x)/6=7
X=12

Answer is C

Goal+Plan=Success (GPS)
User avatar
B
kkrrsshh
Intern
Intern
Joined: 27 Jun 2015
Posts: 46
Own Kudos [?]: 12 [0]
Given Kudos: 77
Location: India
WE:Information Technology (Computer Software)
Send PM
GMAT ToolKit User
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   15 Sep 2017, 20:57
Ans is C.. But a slight trap here in Statement A is: its given two digit integer and with the sequence given in the question, it might lead us to think that x is 12 after 10.
Just highlighting a possible trap.
User avatar
D
niks18
Retired Moderator
Joined: 25 Feb 2013
Posts: 895
Own Kudos [?]: 1527 [3]
Given Kudos: 54
Location: India
GPA: 3.82
Send PM
GMAT ToolKit User Reviews Badge
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   15 Sep 2017, 21:05
2
Kudos
1
Bookmarks
Bounce1987 wrote:
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.


Statement 1: \(x\) can be any two digit no 10,20,30.... etc. Hence Insufficient

Statement 2: Average of the set \(=\frac{(2+4+6+8+10+x)}{6}=\frac{(30+x)}{6}=5+\frac{x}{6}\)

Median, if \(6<x<8\), then the Median would be \(\frac{6+x}{2}\) but if \(x>8\), then the Median would be \(\frac{6+8}{2} = 7\)

Now the two values of median when equated against the average will give two different values of \(x\). Hence Insufficient

Combining 1 & 2, we know for sure that \(x>8\)
.
Therefore \(5+\frac{x}{6}=7\) or \(x =12\)

Option C
User avatar
B
atulindia
Intern
Intern
Joined: 08 Mar 2017
Posts: 47
Own Kudos [?]: 24 [0]
Given Kudos: 28
Location: India
Concentration: Operations, General Management
GPA: 2.79
WE:Project Management (Manufacturing)
Send PM
Reviews Badge
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   30 Sep 2017, 04:16
Bounce1987 wrote:
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.



Value base Qs, x=? in set ={2,4,6..x}

St-1 x is 2 digit positive integer- x can be any 2 digit integer insufficient
St-2 the average is equal to median then consecutive integers x can be 0 or 12,insufficient

Combine- x can be only 12 sufficient
Answer is C
avatar
B
neilphilip10
Intern
Intern
Joined: 10 May 2017
Posts: 5
Own Kudos [?]: 2 [1]
Given Kudos: 6
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   18 Oct 2017, 00:08
1
Bookmarks
I went through with a little easier approach. Please let me know if I am on the right track though.
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.

1) According to the first statement, x=11,12,13 or any number.
Hence insufficient
2)According to this statement, Average of these integers(mean)=Median
The above Statement is possible when the set of integers are consecutive integers
x=0,12
Not sufficient
1+2=x=12
Therefore C is the answer
User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1424 [0]
Given Kudos: 632
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   30 Jan 2018, 09:07
niks18 wrote:
Bounce1987 wrote:
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.


Statement 1: \(x\) can be any two digit no 10,20,30.... etc. Hence Insufficient

Statement 2: Average of the set \(=\frac{(2+4+6+8+10+x)}{6}=\frac{(30+x)}{6}=5+\frac{x}{6}\)

Median, if \(6<x<8\), then the Median would be \(\frac{6+x}{2}\) but if \(x>8\), then the Median would be \(\frac{6+8}{2} = 7\)

Now the two values of median when equated against the average will give two different values of \(x\). Hence Insufficient

Combining 1 & 2, we know for sure that \(x>8\)
.
Therefore \(5+\frac{x}{6}=7\) or \(x =12\)

Option C



Actually if x is 8 then median is 7 and and average is 6.66.. hence x= 8 does not satisfy the condition , only x= 0, or 6 or 12 satisfy statement 2, since there are 3 values hence insufficient .

1 and 2 combined
we have only one two digit integer, 12 hence sufficient.
User avatar
B
ShashwatPrakash
Intern
Intern
Joined: 14 Dec 2016
Posts: 31
Own Kudos [?]: 6 [0]
Given Kudos: 150
Location: India
Schools: Schulich Sept '21 Ivey '21 Rotman '21 XLRI"20 HKUST '21
GMAT 1: 200 Q49 V37
GPA: 4
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   12 Feb 2018, 10:28
Bounce1987 wrote:
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.



A quick way to solve would be:
#1 in itself is insufficient.
#2 this statement tells us the set is evenly spaced, so x must either be zero or 12.

Now considering statement 1, we can conclude x=12.
User avatar
S
SchruteDwight
Manager
Manager
Joined: 03 Sep 2018
Posts: 178
Own Kudos [?]: 90 [0]
Given Kudos: 924
Location: Netherlands
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
GPA: 4
Send PM
Reviews Badge
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   08 Sep 2019, 03:14
Are there always three cases to consider:

1) x > median
2) x = median
3) x < median

?
User avatar
G
ccooley
Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 935
Own Kudos [?]: 1541 [1]
Given Kudos: 115
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   08 Sep 2019, 12:33
1
Kudos
Expert Reply
ghnlrug wrote:
Are there always three cases to consider:

1) x > median
2) x = median
3) x < median

?


Yes, in general that's a good set of cases to think about, when the problem gives you a set of numbers including an unknown value and starts asking you questions about the median. Either the unknown value is the median itself, or some other (smaller or larger) value in the set is the median. Or, if the set has an even number of terms (including the unknown value!), then you also have to think about the possibility that the median is halfway between the unknown and the value right above or below it.
User avatar
S
SchruteDwight
Manager
Manager
Joined: 03 Sep 2018
Posts: 178
Own Kudos [?]: 90 [0]
Given Kudos: 924
Location: Netherlands
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
GPA: 4
Send PM
Reviews Badge
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   08 Sep 2019, 12:55
ccooley wrote:
ghnlrug wrote:
Are there always three cases to consider:

1) x > median
2) x = median
3) x < median

?


Yes, in general that's a good set of cases to think about, when the problem gives you a set of numbers including an unknown value and starts asking you questions about the median. Either the unknown value is the median itself, or some other (smaller or larger) value in the set is the median. Or, if the set has an even number of terms (including the unknown value!), then you also have to think about the possibility that the median is halfway between the unknown and the value right above or below it.


Thank you!
User avatar
B
adityasuresh
Manager
Manager
Joined: 03 May 2020
Posts: 108
Own Kudos [?]: 33 [0]
Given Kudos: 512
Send PM
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   05 Feb 2023, 08:50
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.
(2) The average of these integers is equal to the median of these integers.

(F1) Not sufficient
(F2) Mean = Median implies the terms are in AP.
This implies X = 0(Lower limit) OR X = 12(Upper Limit)
Combining 1 & 2
X is a two-digit positive integer, So X =12
C
User avatar
B
dbcoupie123
Intern
Intern
Joined: 30 Jan 2022
Posts: 40
Own Kudos [?]: 6 [0]
Given Kudos: 28
Location: Canada
Concentration: Finance
Schools: Yale '26 (A) Stern '26 (WL)
GMAT 1: 670 Q49 V32
GMAT 2: 690 Q46 V40
GMAT 3: 680 Q49 V34
GMAT 4: 710 Q48 V39
GPA: 3.7
WE:Operations (Investment Banking)
Send PM
GMAT ToolKit User
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink] New post   05 Feb 2023, 10:45
There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x?

(1) x is a 2-digit positive integer.

can be anything from 10 to 99. NS


(2) The average of these integers is equal to the median of these integers.

if x is 6, then median is 6, average is 6
if x is 0, then median is 5, average is 5

NS

combined:

A. 2 digit number
B. consecutive integers will result in the same median/mean.

Therefore x = 12

C
GMAT Club Bot
gmatclubot
Re: There is a set of numbers 2, 4, 6, 8,10 and x. What is the value of x? [#permalink]
05 Feb 2023, 10:45
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions