Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 Aug 2015, 22:41
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A set of 15 different integers has median of 25 and a range

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 15 Jul 2008
Posts: 207
Followers: 3

Kudos [?]: 37 [1] , given: 0

A set of 15 different integers has median of 25 and a range [#permalink] New post 12 Aug 2008, 03:50
1
This post received
KUDOS
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (01:38) correct 45% (00:42) wrong based on 222 sessions
A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?

A. 32
B. 37
C. 40
D. 43
E. 50
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Aug 2014, 00:15, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
3 KUDOS received
Director
Director
avatar
Joined: 14 Aug 2007
Posts: 733
Followers: 8

Kudos [?]: 129 [3] , given: 0

Re: A set of 15 different integers has median of 25 and a range [#permalink] New post 12 Aug 2008, 04:16
3
This post received
KUDOS
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.


50 can not be the highest number.

for the range to be 25, (50 - least number) = 25, i.e least number is 25
But it's given that 25 is median and since each number is different, there must be 7 smaller numbers than 25
7 KUDOS received
Current Student
User avatar
Joined: 03 Aug 2006
Posts: 116
Location: Next to Google
Schools: Haas School of Business
Followers: 4

Kudos [?]: 161 [7] , given: 3

Re: set of 15 integers [#permalink] New post 12 Jun 2009, 12:01
7
This post received
KUDOS
4
This post was
BOOKMARKED
The correct answer is D.

A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?

Given 15 different integers, lets say

n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15

Also given median is 25 i.e. n8 = 25

n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15

As each integer is different we need to find the maximum values for all those numbers before the median.

the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..

18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15

Also given the range is 25 i.e. n15 - n1 (18) = 25
The maximum value n15 can have is 25 + n1 (18) = 43
VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1356
Followers: 14

Kudos [?]: 177 [0], given: 10

Re: set of 15 integers [#permalink] New post 17 May 2011, 23:11
8 different numbers from 1st to 8th number gives lowest number = 25-8= 18
hence max number = 18+25 = 43.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Intern
Intern
avatar
Joined: 11 Aug 2013
Posts: 5
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: A set of 15 different integers has median of 25 and a range [#permalink] New post 02 Sep 2013, 13:05
1
This post was
BOOKMARKED
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.







Try to right down 25 in the middle as a median and 7 numbers to the left and 7 nubers to the right.
You will see clearly that the minimum possible least number is 18 to the left of 25.
Hence 18+25 -->43

18 19 20 21 22 23 24 25 ....... --> the least possible
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29170
Followers: 4734

Kudos [?]: 49949 [2] , given: 7517

Re: A set of 15 different integers has median of 25 and a range [#permalink] New post 02 Sep 2013, 13:26
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.


Similar question to practice:
Quote:
A set of 25 different integers has a median of 50 and a range of 50. What is the greatest possible integer that could be in this set?

(A) 62
(B) 68
(C) 75
(D) 88
(E) 100


Discussed here: a-set-of-25-different-integers-has-a-median-of-50-and-a-129345.html

Variation of this question: a-set-of-25-integers-has-a-median-of-50-and-a-range-of-128463.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6144
Followers: 342

Kudos [?]: 70 [0], given: 0

Premium Member
Re: set of 15 integers [#permalink] New post 09 Aug 2014, 02:58
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6144
Followers: 342

Kudos [?]: 70 [0], given: 0

Premium Member
Re: A set of 15 different integers has median of 25 and a range [#permalink] New post 18 Aug 2015, 08:34
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3465
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 148

Kudos [?]: 932 [0], given: 57

Re: A set of 15 different integers has median of 25 and a range [#permalink] New post 18 Aug 2015, 21:27
Expert's post
Hi All,

When it comes to maximizing or minimizing a value in a group of numbers, you have to think about what the other numbers would need to be to accomplish your goal.

Here, we have a group of 15 DISTINCT (meaning DIFFERENT) integers with a median of 25 and a RANGE of 25. That range will dictate how large the largest value can be.

With a median of 25, we know that 7 numbers are LESS than 25 and 7 numbers are GREATER than 25:

_ _ _ _ _ _ _ 25 _ _ _ _ _ _ _

To maximize the largest value, we need to maximize the smallest value. Here's how we can do it:

18 19 20 21 22 23 24 25 _ _ _ _ _ _ _

With 18 as the smallest value, and a range of 25, the largest value would be 43.

Final Answer:
[Reveal] Spoiler:
D


GMAT assassins aren't born, they're made,
Rich
_________________

Official Guide 2016 Question Breakdown:
http://gmatclub.com/forum/empowergmat-blog-198415.html#p1527977

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

GMAT Club Verified Reviews for EMPOWERgmat & Special Discount

EMPOWERgmat Podcast - A Wild Secret About The GMAT Algorithm


Re: A set of 15 different integers has median of 25 and a range   [#permalink] 18 Aug 2015, 21:27
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic Given that set S has four odd integers and their range is 4, how many Bunuel 4 07 Apr 2015, 05:33
40 Experts publish their posts in the topic A set of 25 different integers has a median of 50 and a enigma123 20 19 Mar 2012, 14:46
10 Experts publish their posts in the topic A set of 25 integers has a median of 50 and a range of 50 BN1989 5 02 Mar 2012, 06:20
8 Experts publish their posts in the topic A set of 25 different integers has a median of 50 and a range of 50. W dreambeliever 7 18 Sep 2011, 19:02
6 Experts publish their posts in the topic Set S contains seven distinct integers. The median of set S is the kairoshan 11 18 Nov 2009, 20:35
Display posts from previous: Sort by

A set of 15 different integers has median of 25 and a range

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.