Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 29 Jun 2013
Posts: 9
WE: Law (Law)

Set D is a new set created by combining all the terms of Set
[#permalink]
Show Tags
Updated on: 03 Mar 2014, 04:53
Question Stats:
52% (01:37) correct 48% (02:03) wrong based on 154 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. 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.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by sophietrophy on 18 Aug 2013, 13:36.
Last edited by Bunuel on 03 Mar 2014, 04:53, edited 2 times in total.
Added the OA.



Manager
Joined: 27 Feb 2012
Posts: 113

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



Intern
Joined: 29 Jun 2013
Posts: 9
WE: Law (Law)

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



Intern
Joined: 03 Mar 2014
Posts: 7

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



Intern
Joined: 03 Mar 2014
Posts: 7

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



Math Expert
Joined: 02 Sep 2009
Posts: 58312

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



Intern
Joined: 03 Mar 2014
Posts: 7

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



Current Student
Joined: 23 May 2013
Posts: 183
Location: United States
Concentration: Technology, Healthcare
GPA: 3.5

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



Board of Directors
Joined: 17 Jul 2014
Posts: 2515
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

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



Intern
Joined: 19 May 2016
Posts: 6

Re: Set D is a new set created by combining all the terms of Set
[#permalink]
Show Tags
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  r1 numbers , 125a,125+a , r1 numbers Assume Set B  k1 numbers , 125b,125+b , k1 numbers Assume Set C  x1 numbers , 125c,125+c , x1 numbers ( e + f = 125 *2)
Set D  r1 + k 1 + x1 numbers , mid numbers , r1 + k 1 + x1 numbers now by property that 125a 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 



NonHuman User
Joined: 09 Sep 2013
Posts: 13109

Re: Set D is a new set created by combining all the terms of Set
[#permalink]
Show Tags
22 Mar 2018, 11:29
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.
_________________




Re: Set D is a new set created by combining all the terms of Set
[#permalink]
22 Mar 2018, 11:29






