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 - Range

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times
by karthikpandian19 » Thu Jun 28, 2012 11:28 pm
If N is a set of four numbers a, b, c, and d . Is the range of the numbers in set N greater than 8?

a - d > 8
c is the smallest number in N.
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 342
Joined: Wed Jul 08, 2009 8:50 amFollowed by: 19 members
Thanked: 214 times
GMAT Score:740

by Birottam Dutta » Thu Jun 28, 2012 11:44 pm
Range of a set is the difference between the highest and lowest number.

Here, from 1, a-d>8. So this is sufficient to conclude that the range is greater than 8.

The second statement is inconsequential.

So, 1 should be the correct option.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 210
Joined: Thu Mar 08, 2012 11:24 pmFollowed by: 3 members
Thanked: 62 times

by niketdoshi123 » Thu Jun 28, 2012 11:46 pm
karthikpandian19 wrote:If N is a set of four numbers a, b, c, and d . Is the range of the numbers in set N greater than 8?

a - d > 8
c is the smallest number in N.
a) sufficient
Consider following extreme combinations
1)a > b > c > d => Range = a-d > 8

2)(b or c) > (c or b) > a > d => Range = (b or c) - d > 8 (must be) (as (b or c) is greater than a)

b) insufficient
It doesn't tell us the value of any number.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Thu Jun 28, 2012 11:54 pm
@birottam,

Can you explain your interpretation for statement 1?
Birottam Dutta wrote:Range of a set is the difference between the highest and lowest number.

Here, from 1, a-d>8. So this is sufficient to conclude that the range is greater than 8.

The second statement is inconsequential.

So, 1 should be the correct option.
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Fri Jun 29, 2012 12:14 am
karthikpandian19 wrote:If N is a set of four numbers a, b, c, and d . Is the range of the numbers in set N greater than 8?

a - d > 8
c is the smallest number in N.
Statement 1: If we consider a as the greatest element and d is least element of N, then range of N = (a - d) > 8

But, if they are not so, then there will be some numbers (either maximum or minimum) which will have more distance from either a or d. Hence, the range will be always greater than (a - d).

For example, say b > a > d > c.
Hence, range = (b - c) > (a - d) > 8

Or, say c > a > b > d.
Hence, range = (c - d) > (a - d) > 8

Sufficient

Statement 2: We have no idea about the greatest element of N.
Hence, we cannot comment about range.

Not sufficient

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members
Thanked: 165 times

by karthikpandian19 » Fri Jun 29, 2012 12:15 am
OA is A
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 342
Joined: Wed Jul 08, 2009 8:50 amFollowed by: 19 members
Thanked: 214 times
GMAT Score:740

by Birottam Dutta » Fri Jun 29, 2012 5:27 am
@karthik:

Let us assume some values for a, b, c and d.

Let these values be a=13, b=1, c=5 and d=3.

Now, a-d = 10 which is greater than 8. Hence the condition is satisfied.

So, since this condition holds, the range of the set must be greater than 8, whatever the values of the other numbers.

For a-b=12, this is the actual range of the set.

So, if a-d>8, then the range of the set must be greater than 8, whatever the values of the other numbers.

I hope I am clear now!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Wed Jun 06, 2012 9:53 am
Thanked: 1 times

by optimist » Sat Jun 30, 2012 7:45 am
@Birottam

Does this imply that - the range of a set of numbers is always > difference between any 2 numbers of the same set ?
Birottam Dutta wrote:@karthik:

Let us assume some values for a, b, c and d.

Let these values be a=13, b=1, c=5 and d=3.

Now, a-d = 10 which is greater than 8. Hence the condition is satisfied.

So, since this condition holds, the range of the set must be greater than 8, whatever the values of the other numbers.

For a-b=12, this is the actual range of the set.

So, if a-d>8, then the range of the set must be greater than 8, whatever the values of the other numbers.

I hope I am clear now!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1