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# Set T was derived from set S when all elements of set S were

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Current Student
Joined: 11 May 2008
Posts: 552
Set T was derived from set S when all elements of set S were [#permalink]

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27 Aug 2008, 03:03
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Set T was derived from set S when all elements of set S were multiplied by 2. Is the median of set T bigger than that of set S ?

1. All elements of set S are positive
2. The median of set S is positive

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

suppose that
statement 1 was modified as set of elements from -50 to 50
then what would be the ans???

give soln for both the original and the additional one
Manager
Joined: 14 Jun 2008
Posts: 162

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27 Aug 2008, 03:16
arjtryarjtry wrote:
Set T was derived from set S when all elements of set S were multiplied by 2. Is the median of set T bigger than that of set S ?

1. All elements of set S are positive
2. The median of set S is positive

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

suppose that
statement 1 was modified as set of elements from -50 to 50
then what would be the ans???

give soln for both the original and the additional one

1) All elements are +ve
so if u multiply all elements by 2, it will increase teh median by 2
so median of T > S

suff

2)
if all numbers are postiive, median = positive. therefore same as condition one

but
think of a set consisting of postitives and negatives e.g
-1 3
median = 2

multiply set by 2
-2 6
medaim = 4
not true

usuff

therefore A
Senior Manager
Joined: 16 Jul 2008
Posts: 285

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27 Aug 2008, 04:09
arjtryarjtry wrote:
suppose that
statement 1 was modified as set of elements from -50 to 50
then what would be the ans???

Not sufficient. We don't know anything useful for this set. For example:

S = -50, 1, 2, 3, ... 50 -> positive median
or:
S= -50, -49, -48 ... 0, 50 -> negatve median
or:
S= -50, 0, 50 -> median is zero
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Director
Joined: 03 Sep 2006
Posts: 850

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27 Aug 2008, 06:41
D by taking any example such that;

S: { x,y,z }

T: { 2x,2y,2z }
Re: set   [#permalink] 27 Aug 2008, 06:41
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# Set T was derived from set S when all elements of set S were

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