It is currently 19 Nov 2017, 13:23

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Set J consists of 15 different integers. If the median of Set J is 15

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42259

Kudos [?]: 132707 [0], given: 12335

Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 05:16
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

48% (00:57) correct 53% (01:33) wrong based on 39 sessions

HideShow timer Statistics

Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60
B. -48
C. -45
D. -38
E. -32
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132707 [0], given: 12335

Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 618

Kudos [?]: 105 [0], given: 46

Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 06:02
Bunuel wrote:
Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60
B. -48
C. -45
D. -38
E. -32



will go with C ...
The largest number must be greater than or equal to 15..
lets plugin value ...
a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out
b -48 - we will get greatest number as 12 ..so out
C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..

Kudos [?]: 105 [0], given: 46

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 555

Kudos [?]: 248 [0], given: 34

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 06:13
Bunuel wrote:
Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60
B. -48
C. -45
D. -38
E. -32


\(Range = Max - Min\)

so \(Min = Max - Range => Min = Max - 60\)

so for \(Min\) value to be the lowest \(Max\) value has to be as low as possible. But \(Max\) value cannot be lower than the median value. and as all numbers have to be different, so \(Max=15+7=22\) (as all numbers are integer, so to make Max value as low as possible, every number after median has to increase by 1)

\(=> Min = 22-60=-38\)

Option D

Last edited by niks18 on 11 Nov 2017, 06:44, edited 2 times in total.

Kudos [?]: 248 [0], given: 34

1 KUDOS received
Manager
Manager
User avatar
B
Joined: 17 Oct 2016
Posts: 87

Kudos [?]: 20 [1], given: 72

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
GMAT ToolKit User
Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 06:29
1
This post received
KUDOS
IMO D.

Here median is asked.
Hence the 8th number is the given median value i.e., 15. and the minimum 15th number is 22.

Range = 22-min.
60=22-min
min=22-60
=-38
Hence D
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 20 [1], given: 72

Manager
Manager
avatar
G
Joined: 12 Feb 2017
Posts: 71

Kudos [?]: 21 [0], given: 40

Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 10:22
sobby wrote:
Bunuel wrote:
Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60
B. -48
C. -45
D. -38
E. -32



will go with C ...
The largest number must be greater than or equal to 15..
lets plugin value ...
a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out
b -48 - we will get greatest number as 12 ..so out
C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..


If the largest number in the set is 15 then how can you say that 15 will be a median?
As the given set is a set of distinct number, we can not have 15 as a largest number.
Answer should be D.
22-(-38)=60
-38,........., 15(median), 16, 17,18,19,20,21,22

Kudos [?]: 21 [0], given: 40

Intern
Intern
avatar
B
Joined: 24 Jul 2016
Posts: 1

Kudos [?]: [0], given: 100

Location: India
Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 19:19
Least possible value is Median - range = 15-60 = -45
the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.

Ans C

Kudos [?]: [0], given: 100

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 555

Kudos [?]: 248 [0], given: 34

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 11 Nov 2017, 20:24
sudha8050 wrote:
Least possible value is Median - range = 15-60 = -45
the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.

Ans C


Hi sudha8050

Here you are assuming that the Median, 15 = Maximum value. but its mentioned in the question that all numbers are different. so in my opinion answer should be D

Kudos [?]: 248 [0], given: 34

Director
Director
avatar
G
Joined: 21 May 2013
Posts: 539

Kudos [?]: 48 [0], given: 492

CAT Tests
Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

New post 12 Nov 2017, 01:02
sobby wrote:
Bunuel wrote:
Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60
B. -48
C. -45
D. -38
E. -32



will go with C ...
The largest number must be greater than or equal to 15..
lets plugin value ...
a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out
b -48 - we will get greatest number as 12 ..so out
C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..


C cant be the answer. Answer is D. We need 15 different integers-so 15 cant be the greatest number.

Kudos [?]: 48 [0], given: 492

Re: Set J consists of 15 different integers. If the median of Set J is 15   [#permalink] 12 Nov 2017, 01:02
Display posts from previous: Sort by

Set J consists of 15 different integers. If the median of Set J is 15

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.