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

close

It is currently 21 Sep 2018, 18:37

Register

GMAT Club Tests

Decision Tracker

My Rewards

New posts

Unanswered

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.

Go to My Error Log Learn more

Request Expert Reply

Confirm Cancel

M12-14

new topic

post reply

Question banks

Downloads

My Bookmarks

Reviews

Important topics

Sort by Date

Sort by Kudos

First unread post

Author

Message

TAGS:

Hide Tags

Math Expert

V

Joined: 02 Sep 2009

Posts: 49300

M12-14 [#permalink]

Show Tags

16 Sep 2014, 00:46

7

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

38% (00:48) correct

62% (00:44) wrong

based on 104 sessions

HideShow timer Statistics

If the mean of set \(S\) is 20, what is the median of set \(S\)?

(1) In set \(S\) there are as many numbers larger than 20 as there are numbers smaller than 20.

(2) All numbers in set \(S\) are even integers.

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

Math Expert

V

Joined: 02 Sep 2009

Posts: 49300

Re M12-14 [#permalink]

Show Tags

16 Sep 2014, 00:46

1

Official Solution:

Statements (1) and (2) combined are insufficient. Consider:

\(\{14, 18, 24, 24\}\). The median is 21;

\(\{18, 18, 22, 22\}\). The median is 20.

Answer: E
_________________

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

Intern

Joined: 11 Nov 2014

Posts: 37

Concentration: Marketing, Finance

WE: Programming (Computer Software)

Re: M12-14 [#permalink]

Show Tags

16 Mar 2015, 18:31

hello Bunuel,

This explanation seems a bit confusing to me .
The question says that the mean is "20".
Then it should include "20" in set S,
But the examples you took do not include 20.
can you please explain each statement more clearly?

Math Expert

V

Joined: 02 Sep 2009

Posts: 49300

Re: M12-14 [#permalink]

Show Tags

17 Mar 2015, 05:35

minhaz3333 wrote:

hello Bunuel,

This explanation seems a bit confusing to me .
The question says that the mean is "20".
Then it should include "20" in set S,
But the examples you took do not include 20.
can you please explain each statement more clearly?

The mean of {1, 2} is 1.5, which is NOT in the set. So, the mean of a set is not necessarily a member of the set.
_________________

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

Manager

Joined: 11 Sep 2013

Posts: 110

Schools: McCombs '19, Kenan-Flagler '17, SMU '17

Re: M12-14 [#permalink]

Show Tags

17 Mar 2015, 19:23

1

(1) In set S there are as many numbers larger than 20 as there are numbers smaller than 20

=> Dont know the number of numbers smaller and larger 20 => Cannot know the middle point of the number set => Insufficient

(2) All numbers in set S are even integers => Just know there are two Median for this number set => Insufficient

(1)+(2): Also insufficient

=> Answer: E

Intern

Joined: 21 Jul 2015

Posts: 34

Re: M12-14 [#permalink]

Show Tags

17 Aug 2016, 07:10

Initially got confused by statement
(1) In set SS there are as many numbers larger than 20 as there are numbers smaller than 20.

Was under the impression that number 20 has to in the set..
for example : {-30, -25, 20, 25, 30}, here there are two numbers are below 20 and two numbers above 20.. Mean = 20, Median = 20
from Bunuel's example set : {14, 18, 24, 24}, here again two numbers are below 20 and two above 20 .. Mean = 20, Median = 21

Clearly Statement (1) is Not Sufficient !!!

Bunuel wrote:

Official Solution:

Statements (1) and (2) combined are insufficient. Consider:

\(\{14, 18, 24, 24\}\). The median is 21;

\(\{18, 18, 22, 22\}\). The median is 20.

Answer: E

Intern

Joined: 04 Mar 2016

Posts: 46

Location: India

Re: M12-14 [#permalink]

Show Tags

28 Dec 2016, 21:26

1

Can we apply a simple logic here, that to find the Median we shud have no of terms and also an assurance that the set is in AP ??

Intern

B

Joined: 20 Jan 2018

Posts: 18

GMAT 1: 620 Q50 V24

Re M12-14 [#permalink]

Show Tags

24 Apr 2018, 16:15

I think this is a high-quality question and the explanation isn't clear enough, please elaborate.

Math Expert

V

Joined: 02 Sep 2009

Posts: 49300

Re: M12-14 [#permalink]

Show Tags

24 Apr 2018, 21:03

Ritz1605 wrote:

I think this is a high-quality question and the explanation isn't clear enough, please elaborate.

Check more solutions here: https://gmatclub.com/forum/if-the-mean- ... 34780.html

Hope it helps.
_________________

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

Intern

B

Joined: 14 Aug 2017

Posts: 11

Re: M12-14 [#permalink]

Show Tags

19 Aug 2018, 03:08

Great question . I fell for the trap that 20 will be a part of the set and hence marked statement 1 as sufficient. Now I realised my mistake.Thanks

Re: M12-14 &nbs [#permalink] 19 Aug 2018, 03:08

Print view

First unread post

M12-14

new topic

post reply

Question banks

Downloads

My Bookmarks

Reviews

Important topics

Moderators: chetan2u, Bunuel

Events & Promotions

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

www.gmac.com|www.mba.com |

| GMAT Club Rules | Terms and Conditions

Test's Subscription Expires:

Messages and Replies

Applicant Notifications