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If set T was derived from set S when all elements of set S w  [#permalink]

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Question Stats: 68% (01:33) correct 32% (01:20) wrong based on 137 sessions

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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

M19-23

Originally posted by dennis14 on 18 Mar 2014, 03:30.
Last edited by Bunuel on 18 Mar 2014, 05:19, edited 1 time in total.
Renamed the topic and edited the question.
Intern  Joined: 04 Jul 2013
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Re: GMAT CLub Test Question  [#permalink]

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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: GMAT CLub Test Question  [#permalink]

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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

What i would like to know in this question is that why cant we assume the set to be with only 1 element == { 0 } ??

Because 0 is not a positive number, it's neither positive nor negative.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rule 3. Thank you.
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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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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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Posts: 58453
Re: If set T was derived from set S when all elements of set S w  [#permalink]

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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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GRE 1: Q169 V154 Re: If set T was derived from set S when all elements of set S w  [#permalink]

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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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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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1
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 Retired Moderator P
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Location: India
Re: If set T was derived from set S when all elements of set S w  [#permalink]

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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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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

M19-23

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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Joined: 02 Sep 2009
Posts: 58453
Re: If set T was derived from set S when all elements of set S w  [#permalink]

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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

M19-23

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.
_________________ Re: If set T was derived from set S when all elements of set S w   [#permalink] 03 Feb 2018, 05:01
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