Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 19 Jul 2019, 04:07

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.

Close

Request Expert Reply

Confirm Cancel

The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56302
The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate  [#permalink]

Show Tags

New post 28 Mar 2018, 02:54
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

88% (01:21) correct 13% (00:01) wrong based on 21 sessions

HideShow timer Statistics


Retired Moderator
User avatar
P
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate  [#permalink]

Show Tags

New post 28 Mar 2018, 04:41
Bunuel wrote:
The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greatest possible value of K is how much greater than the least possible value of K?

(A) 4
(B) 24
(C) 26
(D) 30
(E) 34


6,8,14,20,28,k

range = 24

30-6=24
28-4=24

k can be 4/30
difference

26
Senior Manager
Senior Manager
avatar
P
Joined: 15 Oct 2017
Posts: 309
GMAT 1: 560 Q42 V25
GMAT 2: 570 Q43 V27
GMAT 3: 710 Q49 V39
Reviews Badge
Re: The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate  [#permalink]

Show Tags

New post 29 Mar 2018, 14:40
C.


Greatest possible value of K = 30
Least possible value of K = 4
Difference = 26.
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6925
Location: United States (CA)
Re: The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate  [#permalink]

Show Tags

New post 29 Mar 2018, 17:18
Bunuel wrote:
The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greatest possible value of K is how much greater than the least possible value of K?

(A) 4
(B) 24
(C) 26
(D) 30
(E) 34


The greatest value of K is 6 + 24 = 30

The least value of K is 28 - 24 = 4.

So the difference between those numbers is 30 - 4 = 26.

Alternate Solution:

Recall that range = largest - smallest.

If K is to be as large as possible, it is the largest of the 6 values in the set, and so the range of the data would be K - 6 = 24, so K = 30.

If K is to be as small as possible, it is the smallest of the 6 values in the set, so the range of the data is 28 - K = 24, so K = 4.

The difference in the two values of K is 30 - 4 = 26.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate   [#permalink] 29 Mar 2018, 17:18
Display posts from previous: Sort by

The range of the six numbers 20, 6, 14, 8, 28, and K is 24. The greate

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne