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

 It is currently 18 Sep 2018, 10:39

### 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

# Is the range of numbers {a, b, c, d, e} greater than 10?

Author Message
TAGS:

### Hide Tags

SVP
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1868
Concentration: General Management, Nonprofit
Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

11 Oct 2010, 14:50
2
00:00

Difficulty:

35% (medium)

Question Stats:

69% (00:27) correct 31% (00:51) wrong based on 48 sessions

### HideShow timer Statistics

Is the range of numbers {a, b, c, d, e} greater than 10?

(2) b - d > 10
(2) b is the greatest number in the set.
Retired Moderator
Joined: 02 Sep 2010
Posts: 772
Location: London
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

11 Oct 2010, 15:35
whiplash2411 wrote:
Is the range of numbers {a, b, c, d, e} greater than 10.

Statement 1: b - d > 10
Statement 2: b is the greatest number in the set.

Range = Max(set)-Min(set)

(1) b-d>10 ... max(set)>=b & min(set)<=d by definition, hence range>10. Sufficient
(2) doesnt tell us anything much at all about the set. Insufficient

_________________
Manager
Joined: 30 Aug 2010
Posts: 89
Location: Bangalore, India
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

12 Oct 2010, 02:00
Range=The distance between two extreme points on the number line
-----X---p---q---r--Y----- range= distance between X and Y

Stmnt1: b-d > 10 ===> the distance between b and d on the number line is > 10 hence the range must surely be > 10 even if the rest (a,c and e are kept between b and d) --- SUFF.

stmnt2: b is the grtst # among them; as per the definition of range, two points (extreme points) are required to calculate the range ===> NOT SUFF.

Hope it helps.

Regards,
Murali.

Kudos me if you like my post.
Manager
Joined: 25 Aug 2010
Posts: 67
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

12 Oct 2010, 09:49
Its E....

From 1... I am not sure the order of a,b,c,d so i can not say whether the smalllest number and largest numbers possible from 1 ...

from 2 clearly, it is not sufficient....

even if i club together... we can not get the value of range > 10 ....

So my ans is : E

Retired Moderator
Joined: 02 Sep 2010
Posts: 772
Location: London
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

12 Oct 2010, 10:52
Check my post above

Posted from my mobile device
_________________
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1345
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

12 Oct 2010, 12:17
There are many ways to define the range of a set. Most people learn that:

range = largest - smallest

which is a perfectly good way to understand the range for most questions. That definition is equivalent to the following:

range = largest distance between any two elements in a set

So if you know b and d are in your set, and you know that b-d > 10, then the largest distance between any two elements in the set clearly must be greater than 10, and the range is thus greater than 10.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Manager
Joined: 06 Aug 2010
Posts: 189
Location: Boston
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

14 Oct 2010, 08:22
Easy A.

whiplash2411 wrote:
Is the range of numbers {a, b, c, d, e} greater than 10.

Statement 1: b - d > 10
Statement 2: b is the greatest number in the set.

(1) b - d > 10. So the range must be, at the very least, 10. If b and d are the absolute extremes of the set (so a, c, and e all fall between them), then b - d is the range. If any of a, c, or e are larger or smaller than b or d, then the range will be bigger than b - d. The other three numbers are irrelevant because they can't shrink the range.

Quick examples, let b = 21 and d = 9, so b - d = 11:

{9, 10, 11, 12, 21} - range = 11
{5, 9, 10, 11, 21} - range = 16
{5, 9, 10, 21, 25} - range = 20

Sufficient.

(2) Clearly insufficient, as we have no information about the other numbers.
Non-Human User
Joined: 09 Sep 2013
Posts: 8065
Re: Is the range of numbers {a, b, c, d, e} greater than 10?  [#permalink]

### Show Tags

23 Sep 2017, 19:28
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.
_________________
Re: Is the range of numbers {a, b, c, d, e} greater than 10? &nbs [#permalink] 23 Sep 2017, 19:28
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.