December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51096

Question Stats:
56% (01:00) correct 44% (00:59) wrong based on 227 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re M1923
[#permalink]
Show Tags
16 Sep 2014, 00:06



Intern
Joined: 07 Aug 2016
Posts: 2

Re: M1923
[#permalink]
Show Tags
02 Nov 2016, 09:31
What if the elements are Fractions? the statement does not say that the numbers are integers, for example if Set S is (1/4, 1/3 and 1/2) then if you multiply all elements by 2 then the new set would be (1/8, 1/6 and 1/4) thus the median would not be greater in any of the 2 statements. hat am I not seeing?



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re: M1923
[#permalink]
Show Tags
02 Nov 2016, 09:42



Intern
Joined: 07 Aug 2016
Posts: 2

Re: M1923
[#permalink]
Show Tags
02 Nov 2016, 09:49
In my example Median of SET S is 1/3 and after multiplying by 2 then the median of SET T is 1/6 which is less than 1/3. Sorry for insisting maybe there is still something I am not seeing



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re: M1923
[#permalink]
Show Tags
02 Nov 2016, 09:55



Intern
Joined: 21 Jun 2016
Posts: 2

Re: M1923
[#permalink]
Show Tags
08 Dec 2016, 20:51
What if all the elements of the Set are 0? Then the answer would be E. 0 is a positive number.



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re: M1923
[#permalink]
Show Tags
09 Dec 2016, 01:24



Senior Manager
Status: You have to have the darkness for the dawn to come
Joined: 09 Nov 2012
Posts: 294
Daboo: Sonu
GMAT 1: 590 Q49 V20 GMAT 2: 730 Q50 V38

Re: M1923
[#permalink]
Show Tags
01 Apr 2017, 00:46
Bunuel wrote: Official Solution:
The median of a set is either an element from the set or the average of two elements from the set. This means that if all elements of the set are multiplied by 2, its median will also be multiplied by 2. Statement (1) by itself is sufficient. The median of set \(S\) is positive. Thus, the median of set \(T\) is greater than that of set \(S\). Statement (2) by itself is sufficient. The median of set \(S\) is positive. Thus, the median of set \(T\) is greater than that of set \(S\).
Answer: D Hi Bunnel I didn't get the solution. Could you please elaborate by taking examples
_________________
You have to have the darkness for the dawn to come.
Give Kudos if you like my post



Manager
Joined: 16 Oct 2016
Posts: 129
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38 GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)

Re: M1923
[#permalink]
Show Tags
27 Jul 2017, 19:28
1. says all elements of set S are positive, So if S = {1, 2, 3, 4, 5.....} then T ={2,4, 6, 8, 10....} here median S<median T (same goes for decimals, and zero is not part of the set. 2 Says median of S is positive so S= {a,b, c, 1, a,b,c} so T becomes {2a, 2b, 2c, 2, 2a, 2b, 2c} so median of S, median of T
_________________
_______________________________________________________________________________________________________________________________________ Chasing the dragon



Intern
Status: Don't watch the clock,Do what it does, Keep Going.
Joined: 10 Jan 2017
Posts: 37

Re: M1923
[#permalink]
Show Tags
23 Aug 2017, 05:51
please help bunuel if i take S= 1,2,3,4,5,6,7,8,9 so median of s here is 5 . Now we take T= 1,2,3 so median of t is 2 . so your logic fails here . The answer is D because now we can calibrate which one is greater either S or T, We don't know yet but with D we can calculate that is why I opted for D . I can't get your logic of , the median of set TT is greater than that of set SS. Hope my doubt is clear. Regards.



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re: M1923
[#permalink]
Show Tags
23 Aug 2017, 06:04
adil123 wrote: please help bunuel if i take S= 1,2,3,4,5,6,7,8,9 so median of s here is 5 . Now we take T= 1,2,3 so median of t is 2 . so your logic fails here . The answer is D because now we can calibrate which one is greater either S or T, We don't know yet but with D we can calculate that is why I opted for D . I can't get your logic of , the median of set TT is greater than that of set SS. Hope my doubt is clear. Regards. Set T was derived from set S when all elements of set S were multiplied by 2. So, if S = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then T = {2, 4, 6, 8, 10, 12, 14, 16, 19}.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 08 Jun 2015
Posts: 436
Location: India
GMAT 1: 640 Q48 V29 GMAT 2: 700 Q48 V38
GPA: 3.33

Re: M1923
[#permalink]
Show Tags
23 Aug 2017, 08:38
+1 for D. Statement 1 gives us a definite answer. If all entries are positive, an entity multiplied by two will also be positive. Hence statement 1 is sufficient. Statement 2 : Sufficient. If median of S is positive, median of T will also be positive and greater than that of S. Hence positive. Both 1 & 2 are sufficient. Hence option D.
_________________
" The few , the fearless "



Manager
Joined: 27 Oct 2016
Posts: 54
Location: India
GPA: 4

Re: M1923
[#permalink]
Show Tags
27 Aug 2017, 23:11
Bunuel wrote: If set \(T\) was derived from set \(S\) when all elements of set \(S\) were multiplied by 2, is the median of set \(T\) greater than that of set \(S\)?
(1) All elements of set \(S\) are positive
(2) The median of set \(S\) is positive Hi Bunuel, I understand the why Statement 1 is sufficient. But for statement 2 consider the following S = {1,2,1,2,3} and T is derived from S so suppose T = {4} or {2} (As 2 X S = {2,4,2,4,6}) Then statement 2 is not satisfied. Please let me know if i am missing something? Thanks in Advance, Eshwar Nag Lanka



Math Expert
Joined: 02 Sep 2009
Posts: 51096

Re: M1923
[#permalink]
Show Tags
28 Aug 2017, 01:20
leshwarnag wrote: Bunuel wrote: If set \(T\) was derived from set \(S\) when all elements of set \(S\) were multiplied by 2, is the median of set \(T\) greater than that of set \(S\)?
(1) All elements of set \(S\) are positive
(2) The median of set \(S\) is positive Hi Bunuel, I understand the why Statement 1 is sufficient. But for statement 2 consider the following S = {1,2,1,2,3} and T is derived from S so suppose T = {4} or {2} (As 2 X S = {2,4,2,4,6}) Then statement 2 is not satisfied. Please let me know if i am missing something? Thanks in Advance, Eshwar Nag Lanka Set T was derived from set S when ALL elements of set S were multiplied by 2.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 27 Oct 2016
Posts: 54
Location: India
GPA: 4

Re: M1923
[#permalink]
Show Tags
28 Aug 2017, 02:26
Bunuel wrote: leshwarnag wrote: Bunuel wrote: If set \(T\) was derived from set \(S\) when all elements of set \(S\) were multiplied by 2, is the median of set \(T\) greater than that of set \(S\)?
(1) All elements of set \(S\) are positive
(2) The median of set \(S\) is positive Hi Bunuel, I understand the why Statement 1 is sufficient. But for statement 2 consider the following S = {1,2,1,2,3} and T is derived from S so suppose T = {4} or {2} (As 2 X S = {2,4,2,4,6}) Then statement 2 is not satisfied. Please let me know if i am missing something? Thanks in Advance, Eshwar Nag Lanka Set T was derived from set S when ALL elements of set S were multiplied by 2. Ohkay... Got it Thanks



Intern
Joined: 12 Jun 2017
Posts: 27

Re: M1923
[#permalink]
Show Tags
13 Mar 2018, 11:35
Hello,
"Set T was derived from set S when all elements of set S"
I am not able to understand what does "when all the elements are multiplied by 2"?



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1268
Location: India
WE: Engineering (Other)

unbrokenQuote: "Set T was derived from set S when all elements of set S"
I am not able to understand what does "when all the elements are multiplied by 2"?
Set S {1,2,3} or Set S {2,1, 4} Set T {2.4.6} or Set T {4, 2 , 8} (multiply above set by 2 in both cases) Q asks: Is median ( middle no) of set T greater than S? St 1: If all numbers in set S are positive, then when we multiply a positive no by 2 we get larger number. Suff St 2: Directly gives us that median of Set S is positive, Using same logic as above, Suff Hope this helps.
_________________
It's the journey that brings us happiness not the destination.










