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

It is currently 18 Dec 2018, 22:00

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

A set of 13 different integers has a median of 20 and a range of 20.

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51285
A set of 13 different integers has a median of 20 and a range of 20.  [#permalink]

Show Tags

New post 03 Oct 2018, 23:24
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:26) correct 44% (01:18) wrong based on 42 sessions

HideShow timer Statistics

A set of 13 different integers has a median of 20 and a range of 20. What is the greatest possible value of the integer in the set?

(A) 23
(B) 27
(C) 30
(D) 34
(E) 40

_________________

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

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
A set of 13 different integers has a median of 20 and a range of 20.  [#permalink]

Show Tags

New post Updated on: 04 Oct 2018, 05:08
1
Bunuel wrote:
A set of 13 different integers has a median of 20 and a range of 20. What is the greatest possible value of the integer in the set?

(A) 23
(B) 27
(C) 30
(D) 34
(E) 40


Median of 13 different integers = 7th Term = 20

Range = Highest - Lowest = 20

Sets is { -, -, -, -, -, -, 20, -, -, -, -, -, -)

For Highest value of largest value of set, th elowest value also should be maximized because their difference is constant which is 20 in this case

To maximize the lowest value we can start going backward from median value keeping every previous value highest
Highest value of the 6th term which must be less than 20 is = 19
Highest value of the 5th term which must be less than 19 is = 18
Highest value of the 4th term which must be less than 18 is = 17
Highest value of the 3rd term which must be less than 17 is = 16
Highest value of the 2nd term which must be less than 16 is = 15
Highest value of the 1st term which must be less than 15 is = 14

Lowest value is 14 i.e. highest value = 20+14 = 34

Answer: Option D
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION


Originally posted by GMATinsight on 03 Oct 2018, 23:40.
Last edited by GMATinsight on 04 Oct 2018, 05:08, edited 1 time in total.
Intern
Intern
avatar
Joined: 25 May 2017
Posts: 4
Re: A set of 13 different integers has a median of 20 and a range of 20.  [#permalink]

Show Tags

New post 04 Oct 2018, 04:23
GMATinsight wrote:
Bunuel wrote:
A set of 13 different integers has a median of 20 and a range of 20. What is the greatest possible value of the integer in the set?

(A) 23
(B) 27
(C) 30
(D) 34
(E) 40


Median of 13 different integers = 7th Term = 20

Range = Highest - Lowest = 20

Sets is { -, -, -, -, -, -, [color=#ffff00]13, -, -, -, -, -, -)[/color]

For Highest value of largest value of set, th elowest value also should be maximized because their difference is constant which is 20 in this case

To maximize the lowest value we can start going backward from median value keeping every previous value highest
Highest value of the 6th term which must be less than 13 is = 12
Highest value of the 5th term which must be less than 12 is = 11
Highest value of the 4th term which must be less than 11 is = 10
Highest value of the 3rd term which must be less than 10 is = 9
Highest value of the 2nd term which must be less than 9 is = 8
Highest value of the 1st term which must be less than 8 is = 7

Lowest value is 7 i.e. highest value = 20+7 = 27

Answer: Option B


How does the 7th Term become 13?

Im sorry but im having a really hard time understanding answers posted by you on other questions as well. I would like to request to give a detailed analysis. Thanks in advance.
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: A set of 13 different integers has a median of 20 and a range of 20.  [#permalink]

Show Tags

New post 04 Oct 2018, 05:11
Saundarya wrote:
GMATinsight wrote:
Bunuel wrote:
A set of 13 different integers has a median of 20 and a range of 20. What is the greatest possible value of the integer in the set?

(A) 23
(B) 27
(C) 30
(D) 34
(E) 40


Median of 13 different integers = 7th Term = 20

Range = Highest - Lowest = 20

Sets is { -, -, -, -, -, -, [color=#ffff00]13, -, -, -, -, -, -)[/color]

For Highest value of largest value of set, th elowest value also should be maximized because their difference is constant which is 20 in this case

To maximize the lowest value we can start going backward from median value keeping every previous value highest
Highest value of the 6th term which must be less than 13 is = 12
Highest value of the 5th term which must be less than 12 is = 11
Highest value of the 4th term which must be less than 11 is = 10
Highest value of the 3rd term which must be less than 10 is = 9
Highest value of the 2nd term which must be less than 9 is = 8
Highest value of the 1st term which must be less than 8 is = 7

Lowest value is 7 i.e. highest value = 20+7 = 27

Answer: Option B


How does the 7th Term become 13?

Im sorry but im having a really hard time understanding answers posted by you on other questions as well. I would like to request to give a detailed analysis. Thanks in advance.


My bad... I read it wrong.. Median = 20 (not 13)

Median = 7th term because median term = (n+1)/2 th term = (13+1)/2 th term = 7th term

Now, I am going towards lowest value by decreasing the value from median and the decrease must be lowest because the lowest value should be as big as possible for the highest value to be as big as possible

Let me know if there is still something that bothers you in explanation.
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

GMAT Club Bot
Re: A set of 13 different integers has a median of 20 and a range of 20. &nbs [#permalink] 04 Oct 2018, 05:11
Display posts from previous: Sort by

A set of 13 different integers has a median of 20 and a range of 20.

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.