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If set T was derived from set S when all elements of set S w [#permalink]
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18 Mar 2014, 02:30
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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 M1923
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Last edited by Bunuel on 18 Mar 2014, 04:19, edited 1 time in total.
Renamed the topic and edited the question.



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Re: GMAT CLub Test Question [#permalink]
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18 Mar 2014, 02:32
What i would like to know in this question is that why cant we assume the set to be with only 1 element == { 0 } ??



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Re: If set T was derived from set S when all elements of set S w [#permalink]
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18 Jun 2016, 04:02
Hi Bunuel,
My doubt here is the word derived. Does it mean the number of elements in both the sets are equal.
I have solved the questions as below: Combining A + B
1st case S = { 1 2 3 8 9 11 19} Median = 8 T = { 2 4 } Median = 3 M(T) < M(S)
2nd case S = { 1, 2, 3, 8, 9, 11, 19} Median = 8 T = { 2, 4, 9, 64, 81,121,361} Median = 64 M(T) > M(S)
Both the cases are possible  Hence E



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Re: If set T was derived from set S when all elements of set S w [#permalink]
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19 Jun 2016, 08:26
divyaverma wrote: Hi Bunuel,
My doubt here is the word derived. Does it mean the number of elements in both the sets are equal.
I have solved the questions as below: Combining A + B
1st case S = { 1 2 3 8 9 11 19} Median = 8 T = { 2 4 } Median = 3 M(T) < M(S)
2nd case S = { 1, 2, 3, 8, 9, 11, 19} Median = 8 T = { 2, 4, 9, 64, 81,121,361} Median = 64 M(T) > M(S)
Both the cases are possible  Hence E Set T was derived from set S when all elements of set S were multiplied by 2, so the number of elements in T and S are the same.
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Re: If set T was derived from set S when all elements of set S w [#permalink]
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23 Aug 2016, 02:16
Here is my approach on this one =>let Median of set S be s and Median of set T be t We need to see whether t>s or not Statement one => all elements of set S are positive hence the elements of T set are also positive ans are twice as elements of set S So the median would e twice hence => t=2s or t>s => suff Statement 2=> Median of set S is positive so the median of set T would be just the twice and positive too=>t=2s=> suff hence suff SMASH that D
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Re: If set T was derived from set S when all elements of set S w [#permalink]
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02 Feb 2018, 05:30
FieryLeo wrote: Hi Bunuel,
My doubt here is the word derived. Does it mean the number of elements in both the sets are equal.
I have solved the questions as below: Combining A + B
1st case S = { 1 2 3 8 9 11 19} Median = 8 T = { 2 4 } Median = 3 M(T) < M(S)
2nd case S = { 1, 2, 3, 8, 9, 11, 19} Median = 8 T = { 2, 4, 9, 64, 81,121,361} Median = 64 M(T) > M(S)
Both the cases are possible  Hence E I fell in the same trap as you. When a set is derived from another set, I thought the new set need not have the same number of elements as the original set. I too got E.
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Re: If set T was derived from set S when all elements of set S w [#permalink]
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02 Feb 2018, 06:12
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Verb (used without object), derived, deriving = to come from a source or origin; originate (often followed by from). How can I know that the elements in set T are in the same number of set S? S = [4,6,8,10] T = [1,8,5,12,16,20] I think that for the question to be without flaws this difference should be pointed out



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Re: If set T was derived from set S when all elements of set S w [#permalink]
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02 Feb 2018, 09:56
MvArrow wrote: Verb (used without object), derived, deriving = to come from a source or origin; originate (often followed by from). How can I know that the elements in set T are in the same number of set S? S = [4,6,8,10] T = [1,8,5,12,16,20] I think that for the question to be without flaws this difference should be pointed out Hi I think when it says 'Set T was derived from set S when all elements of set S were multiplied by 2', isn't it perfectly clear that we just have to double every element of set S to form set T, and not to do anything else?



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If set T was derived from set S when all elements of set S w [#permalink]
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03 Feb 2018, 02:38
dennis14 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
M1923 Let Set S = {1,2,3,4,500,1000,2000} Now Set T can only be derived when set S is multiplied by 2 so , Set S will be {2,4,6,8,1000,2000,4000} [ BUT THIS IS NOT ACTUAL SET S] and LET Set T can be 1) {2,4,6} Hence here Median of set T < Median of set S 2) LET set T can be {4,2000,4000} Hence here Median of set T > Median of set S Its not certain that if Median of T > or < than that of S.... Is the question flawed?



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Re: If set T was derived from set S when all elements of set S w [#permalink]
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03 Feb 2018, 04:01
rocko911 wrote: dennis14 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
M1923 Let Set S = {1,2,3,4,500,1000,2000} Now Set T can only be derived when set S is multiplied by 2 so , Set S will be {2,4,6,8,1000,2000,4000} [ BUT THIS IS NOT ACTUAL SET S] and LET Set T can be 1) {2,4,6} Hence here Median of set T < Median of set S 2) LET set T can be {4,2000,4000} Hence here Median of set T > Median of set S Its not certain that if Median of T > or < than that of S.... Is the question flawed? Set S and set T contain equal number of elements. To get set T you multiply EACH element in S by 2.
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