It is currently 17 Oct 2017, 17:40

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 D is a new set created by combining all the terms of Set

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

Hide Tags

Intern
Intern
avatar
Joined: 29 Jun 2013
Posts: 10

Kudos [?]: 3 [0], given: 21

WE: Law (Law)
GMAT ToolKit User
Set D is a new set created by combining all the terms of Set [#permalink]

Show Tags

New post 18 Aug 2013, 13:36
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

51% (01:07) correct 49% (01:19) wrong based on 132 sessions

HideShow timer Statistics

Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

[Reveal] Spoiler:
I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Mar 2014, 04:53, edited 2 times in total.
Added the OA.

Kudos [?]: 3 [0], given: 21

Veritas Prep GMAT Discount CodesManhattan GMAT Discount CodesJamboree Discount Codes
Manager
Manager
avatar
Joined: 27 Feb 2012
Posts: 136

Kudos [?]: 63 [0], given: 22

Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 18 Aug 2013, 14:13
sophietrophy wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.




I think answer is A. Try with different pairs and you will always end up with 125.
_________________

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Please +1 KUDO if my post helps. Thank you.

Kudos [?]: 63 [0], given: 22

Intern
Intern
avatar
Joined: 29 Jun 2013
Posts: 10

Kudos [?]: 3 [0], given: 21

WE: Law (Law)
GMAT ToolKit User
Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 18 Aug 2013, 14:47
BangOn wrote:
sophietrophy wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.




I think answer is A. Try with different pairs and you will always end up with 125.


I don't want to presume that it will hold true in every possible scenario. Is there a rule, by any chance, that will make it true?

Kudos [?]: 3 [0], given: 21

Intern
Intern
avatar
Joined: 03 Mar 2014
Posts: 7

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

Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 03 Mar 2014, 04:14
i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50

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

Intern
Intern
avatar
Joined: 03 Mar 2014
Posts: 7

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

Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 03 Mar 2014, 04:15
i also find A to be inappropriate
for instance:

A 10 20 25 28 32 (odd)
B 5 10 20 (25) 30 40 50 (even)
C 10 25 40 (odd)

D 5 10 20 25 28 30 32 40 50 (odd)

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128604 [0], given: 12180

Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 03 Mar 2014, 04:38
darkwraith wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50


Set D in this case is {5, 10, 10, 10, 20, 20, 25, 25, 25, 28, 30, 32, 40, 40, 60} --> median=25.
_________________

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 [?]: 128604 [0], given: 12180

Intern
Intern
avatar
Joined: 03 Mar 2014
Posts: 7

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

Re: Set D is a new set created by combining all the terms of... [#permalink]

Show Tags

New post 03 Mar 2014, 04:54
Bunuel wrote:
darkwraith wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50


Set D in this case is {5, 10, 10, 10, 20, 20, 25, 25, 25, 28, 30, 32, 40, 40, 60} --> median=25.


oh now i get it .... i assumed that the numbers that overlapped were only counted once.... thanks :-D

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

Manager
Manager
avatar
B
Joined: 23 May 2013
Posts: 191

Kudos [?]: 107 [0], given: 42

Location: United States
Concentration: Technology, Healthcare
Schools: Stanford '19 (M)
GMAT 1: 760 Q49 V45
GPA: 3.5
GMAT ToolKit User
Re: Set D is a new set created by combining all the terms of Set [#permalink]

Show Tags

New post 23 Sep 2014, 07:33
I just kind of imagined this in my head and it worked out:

120 121 122 123 124 125 126 127 128 129 130
10 15 20 125 130 133 135
0 125 250


Here we can see that if we add all of the terms together to form one set, there will still be an equal number of terms on each side of 125, and hence 125 is still the median of the new set.

Therefore option 1) is sufficient.

Answer: A

Kudos [?]: 107 [0], given: 42

CEO
CEO
User avatar
G
Joined: 17 Jul 2014
Posts: 2605

Kudos [?]: 393 [0], given: 182

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: Set D is a new set created by combining all the terms of Set [#permalink]

Show Tags

New post 19 Apr 2016, 18:47
1. median is the same for every set. when arranged, the median of all 3 will be 125. A sufficient.
2. alone not sufficient.

Kudos [?]: 393 [0], given: 182

Intern
Intern
avatar
Joined: 19 May 2016
Posts: 6

Kudos [?]: 2 [0], given: 16

Re: Set D is a new set created by combining all the terms of Set [#permalink]

Show Tags

New post 05 Jul 2016, 01:33
Case 1 - Assume all sets have odd number of members
Assume Set A - r numbers , 125 , r numbers
Assume Set B - k numbers , 125 , k numbers
Assume Set C - x numbers , 125 , x numbers

Set D - r + k + x numbers , 125, 125, 125, r + k + x => Median = 125

Case 2 - Even members
Assume Set A - r-1 numbers , 125-a,125+a , r-1 numbers
Assume Set B - k-1 numbers , 125-b,125+b , k-1 numbers
Assume Set C - x-1 numbers , 125-c,125+c , x-1 numbers ( e + f = 125 *2)

Set D - r-1 + k -1 + x-1 numbers , mid numbers , r-1 + k -1 + x-1 numbers
now by property that 125-a and 125 +a and others are equidistant from 125 the mid numbers will always arrange such that mid two numbers would be from one set only

median = (125 -a + 125 +a)/2 = 125 ( or same for b , c)


Case 3 - mix of even and odd sets - would play out the same

Other cases -

Kudos [?]: 2 [0], given: 16

Re: Set D is a new set created by combining all the terms of Set   [#permalink] 05 Jul 2016, 01:33
Display posts from previous: Sort by

Set D is a new set created by combining all the terms of Set

  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®.