BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

DS-Mean & Median

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 179
Joined: Tue Jan 08, 2008 7:23 pm
Thanked: 11 times
GMAT Score:590
by nitya34 » Mon Jul 20, 2009 2:38 am
Of the 5 numbers, the largest number is 4 greater than the median. Is the mean greater than the median?
(1) The largest number plus the median is 34.
(2) The median minus the smallest number is 10.

OA is.................... B
Many of the great achievements of the world were accomplished by tired and discouraged men who kept on working.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Senior | Next Rank: 100 Posts
Posts: 70
Joined: Wed Jun 25, 2008 8:33 pm
Thanked: 3 times

by axat » Mon Jul 20, 2009 3:04 am
B.

Because St. 1 tells us : Median is 15.
So the five numbers can be 19, (one number between 19-15), 15, (2 numbers less than 15)

St. 2 gives us a range between the largest and the smallest number.
Now visualize the numbers on the numberline, the largest number is 4 greater than the median, and median in 10 greater than the smallest number. Now the Mean will be in the exact middle of this range. Therefore, it has to be less than the Median.

I know this is an instinctive/visual approach, but it works for me.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 179
Joined: Mon Dec 29, 2008 4:41 am
Thanked: 2 times

by abhinav85 » Mon Jul 20, 2009 11:59 am
What is the source of the question?..............
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 527
Joined: Thu May 01, 2008 12:06 am
Thanked: 7 times

Re: DS-Mean & Median

by real2008 » Mon Jul 20, 2009 12:07 pm
nitya34 wrote:Of the 5 numbers, the largest number is 4 greater than the median. Is the mean greater than the median?
(1) The largest number plus the median is 34.
(2) The median minus the smallest number is 10.

OA is.................... B
keep posing questions like this......................
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 385
Joined: Sun May 24, 2009 3:55 pm
Thanked: 11 times
GMAT Score:740

by Domnu » Mon Jul 20, 2009 12:36 pm
Wonderful question :)

Here's an answer:

With the given problem, let the numbers be

a b c d (c+4)

in ascending order. Now, A) states that

c + (c + 4) = 34 -> c = 15.

Does this say much? Nope.

Next, look at B. This says that a = c - 10. We now have:

(c-10) b c d (c + 4)

Now, c < d < c+4 and c-10 < b < c. Now, we need to see if we can say that

[(c-10) + b + c + d + (c+4)]/5 > or < c

To simplify things, let b = c - x and d = c + y. To see the motivation for this, we know that b is less than c by some value (x) and d is greater than c by some value (y). Substituting into the above inequality, we have

y - x > or < 6

Can we state this for sure? We know that x and y are both positive, but y is AT MOST 4. Thus, we can state for sure that y - x < 6, so answer choice B suffices.

Again, great question!
Have you wondered how you could have found such a treasure? -T
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 27
Joined: Thu May 21, 2009 8:52 am
Thanked: 3 times

by adityanarula » Mon Jul 20, 2009 1:21 pm
I dont htikn you can assume b<c and d>c. They can all be the same.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 45
Joined: Fri Jun 12, 2009 2:42 am
Location: UK

by indir0ver » Mon Jul 20, 2009 2:10 pm
@Above reply: I guess answer still remains same .
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 385
Joined: Sun May 24, 2009 3:55 pm
Thanked: 11 times
GMAT Score:740

by Domnu » Mon Jul 20, 2009 4:59 pm
Well, b <= c <= d. Equality doesn't change the answer.
Have you wondered how you could have found such a treasure? -T
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1