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If set S consists of the numbers 1, 5, -2, 8, and n, is 0 [#permalink]
 20 Dec 2006, 06:19
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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Re: GMATPREP: Set S [#permalink]
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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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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Re: GMATPREP: Set S [#permalink]
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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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
so answer is C...
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Re: GMATPREP: Set S [#permalink]
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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my answer is C
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
Final answer is C
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Re: GMATPREP: Set S [#permalink]
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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