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# If set S consists of the numbers 1, 5, -2, 8, and n, is 0

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Manager
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If set S consists of the numbers 1, 5, -2, 8, and n, is 0 [#permalink]

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20 Dec 2006, 06:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

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20 Dec 2006, 07:22
lfox2 wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

C

Stmt 1) Median < 5
Sequence can be -3,-2,1,5,8 or -2,1,2,5,8
So not sufficient

Stmt 2) Median > 1
Sequence can be -2,1,2,5,8 or -2,1,5,8,10
So not sufficient

Combine 1, 2

1<Median<5 , for this n will be in 0 to 7 only.
-2,1,n,5,8 coz if we take n>7 median=5 and if we take n <0 median=1
So sufficient

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Intern
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20 Dec 2006, 12:44
S= -2,1,5,8 and n

from 1)
median of the numbers in S is less than 5
n must be <5
(1) is suff to say n, is not 0 < n < 7

2) The median of the numbers is S is greater than 1
n must be >1
same way (2) is suff

so ans should be D.

whats the OA?

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Intern
Joined: 24 Feb 2006
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20 Dec 2006, 12:49
johnycute wrote:
lfox2 wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

C

Stmt 1) Median < 5
Sequence can be -3,-2,1,5,8 or -2,1,2,5,8
So not sufficient

Stmt 2) Median > 1
Sequence can be -2,1,2,5,8 or -2,1,5,8,10
So not sufficient

Combine 1, 2

1<Median<5 , for this n will be in 0 to 7 only.
-2,1,n,5,8 coz if we take n>7 median=5 and if we take n <0 median=1
So sufficient

hey,
if n= 6
median is 5 1) fails

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Senior Manager
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20 Dec 2006, 14:11
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

arranging the seq...
-2,1,5,8

if median < 5,
n can be anything < 5

if median > 1,
n can be anything > 1

if i include both,
n can only be 2,3, or 4

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Manager
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20 Dec 2006, 17:01
mkl_in_2001 wrote:
johnycute wrote:
lfox2 wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

C

Stmt 1) Median < 5
Sequence can be -3,-2,1,5,8 or -2,1,2,5,8
So not sufficient

Stmt 2) Median > 1
Sequence can be -2,1,2,5,8 or -2,1,5,8,10
So not sufficient

Combine 1, 2

1<Median<5 , for this n will be in 0 to 7 only.
-2,1,n,5,8 coz if we take n>7 median=5 and if we take n <0 median=1
So sufficient

hey,
if n= 6
median is 5 1) fails

You dont need to put all the values beteen 0 and 7 here.

But whatever the values come as n will be in the range 0<n<7

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Director
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20 Dec 2006, 17:14

question gives S: -2 , 1 , 5 , 8 , n
question asks: 0 < n < 7 ?

Statement 1: median < 5
-------------------------------
the only way the median is less than 5 is if n is located below 5 so that the median is either 1 if n <1 or the median is n if 1<n<5
in both cases n < 5
however, it could be n < 0 .. not suff.

Statement 2: median > 1
------------------------------
the only way the median is larger than 1 is if n is placed above 1 so that the median is 5 if n > 5 or n if 1 < n < 5
in both cases n > 1
however, it could be n > 7 ... not suff.

Statements 1 and 2:
-------------------------
combining: 1 < n < 5
within the range 0 < n < 7 --> so the answer is yes
possible values of n: 2 , 3 , 4

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Manager
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20 Dec 2006, 17:28
lfox2 wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

going for C..

A) The median of the numbers in S is less than 5
B) The median of the numbers is S is greater than 1

----------------------------------------------------

A) n,-2,1,5,8 or -2,n,1,5,8 or -2,1,n,5,8 -> n is between 0 and 7 ..TF, insuffi.
B) median >1 -> -2,1,5,8,n or -2,1,5,n,8 or -2,1,n,5,8 ..TF, inuffi

Take A) and B ) together:

unique solution common to both conditions: -2,1,n,5,8 which implies
n is between 0 and 7 ..i.e. stem is true

TF, C) is right
Good one Ifox2 ..thanks!

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Re: GMATPREP: Set S   [#permalink] 20 Dec 2006, 17:28
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