Last visit was: 19 Jul 2025, 16:12 It is currently 19 Jul 2025, 16:12
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: -
Posts: 102,627
Own Kudos:
742,789
 [12]
Given Kudos: 98,235
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,627
Kudos: 742,789
 [12]
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the me 22 Dec 2015, 01:38
Kudos
Add Kudos
12
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

75% (hard)

Question Stats:

61% (02:56) correct 39% (02:46) wrong based on 253 sessions

History

Date
Time
Result
Not Attempted Yet
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the median, b is the mode, and c is the average (arithmetic mean), is a = b?

(1) abc > 0
(2) b = 60
ShowHide Answer
Official Answer
E
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 2,052
Own Kudos:
9,704
 [1]
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
My Reviews
Posts: 2,052
Kudos: 9,704
 [1]
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the me 22 Dec 2015, 01:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The 5 known elements of set are -30 , 0 , 60 , 60 , 120
Since range is 210 , x can either be - 90 or 180 .
Mode , b = 60
Average,c for this set will always be positive
The 2 sets can be -90 , -30 , 0 , 60 , 60 , 120 . Median = 30 .=> a ≠ b
or -30 , 0 , 60 , 60 , 120 , 180 . Median = 60 => a= b
In either case median will be positive

(1) abc > 0
=>Median , a is positive
Not sufficient.

(2) b = 60
We have no new information .
Not sufficient.

Combining , Not sufficient.
Answer E
User avatar
BrainLab
User avatar
Current Student
Joined: 10 Mar 2013
Last visit: 26 Jan 2025
Posts: 350
Own Kudos:
3,016
Given Kudos: 200
Location: Germany
Concentration: Finance, Entrepreneurship
Schools: WHU MBA"20 (A$)
GMAT 1: 580 Q46 V24
GPA: 3.7
WE:Marketing (Telecommunications)
Schools: WHU MBA"20 (A$)
GMAT 1: 580 Q46 V24
Posts: 350
Kudos: 3,016
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the me 22 Dec 2015, 02:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the median, b is the mode, and c is the average (arithmetic mean), is a = b?

(1) abc > 0
(2) b = 60

Tricky one. So, what we have from the questions stem: is a=b
Range = 210, means that either we need a new min. value or a new max. value => -90 or 180
min=-90 or max=180
Median: 30 or 60
Average: 20 or 70
Mode is 60 (is independant from the new range values, in each case it's 60)
(1) abc>0 we already know this from the manupulated question stem. NOT SUFFICIENT
(2) b=mode=60 we already know this from the manipulated question stem. NOT SUFFICIENT
(1) + (2) we already know this from the manipulated question stem. NOT SUFFICIENT
Answer E
User avatar
AdlaT
User avatar
Joined: 06 Oct 2013
Last visit: 12 May 2017
Posts: 38
Own Kudos:
155
Given Kudos: 34
Posts: 38
Kudos: 155
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the me 27 Dec 2015, 16:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the median, b is the mode, and c is the average (arithmetic mean), is a = b?

(1) abc > 0
(2) b = 60


SOLUTION:

To get the range 210, we will have two cases.

Case 1) {-90, -30, 0, 60, 60, 120}

Case 2) {-30, 0, 60, 60, 120, 180}

Now the Question is, is Case two possible where we have median(a)=mode(b)=60.

In Both cases mode(b)=60, In both cases median is positive and In both cases Average is positive.

Statement 1) abc > 0 . Insufficient as mentioned above.

Statement 2) b = 60 . Insufficient as mentioned above

Statement 1 and statement 2 together.

No Addition information.

Hence Ans E.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,450
Own Kudos:
1,013
Posts: 37,450
Kudos: 1,013
The range of the set {60, 120, − 30, x, 0, 60} is 210. If a is the me 19 Dec 2023, 04:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
102627 posts
kingbucky
455 posts