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

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Current Student
Joined: 21 Aug 2010
Posts: 204

Kudos [?]: 17 [0], given: 28

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

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21 Aug 2011, 07:46
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63% (01:04) correct 37% (01:13) wrong based on 89 sessions

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

(1) The median of the numbers in set S is less than 5.
(2) The median of the numbers in set S is greater than 1.

[Reveal] Spoiler: OA

Kudos [?]: 17 [0], given: 28

Director
Joined: 03 Sep 2006
Posts: 869

Kudos [?]: 1031 [0], given: 33

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21 Aug 2011, 09:24
There are three possibilities:

1) -2, n, 1, 5, 8

2) -2, 1, n, 5, 8

3) -2, 1, 5, n, 8

Statement 1 is will satisfy 2) and 3)
Statement 2 will satisfy 1) and 2)

Now clearly, 2) is satisfied by both 1) and 2). And from 2) you can easily say that 0<n<7

Therefore c)

Individually, either of the statement won't help you in in giving the conclusion that n lies within 0 and 7

Kudos [?]: 1031 [0], given: 33

Manager
Joined: 28 May 2011
Posts: 191

Kudos [?]: 70 [0], given: 7

Location: United States
GMAT 1: 720 Q49 V38
GPA: 3.6
WE: Project Management (Computer Software)

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21 Aug 2011, 10:44
samramandy wrote:
If set S consists of the numbers 1, 5, -2, 8 and n, is 0 < n < 7 ?

(1) The median of the numbers in set S is less than 5.
(2) The median of the numbers in set S is greater than 1.

We need to prove 0 < n < 7 ?

FACT : Median of the set of 5 numbers should be the value of 3rd number.

(1) The median of the numbers in set S is less than 5.
=> So n should be number before 5
=> n < 5, but NOT SUFFICIENT because we still need to prove n>0

(2) The median of the numbers in set S is greater than 1.
=> So n should be number after 1
=> n > 1, but NOT SUFFICIENT because we still need to prove n<7

Combining Statement-1 and Statement-2

=> 1<n<5, which also proves 0<n<7

So C.
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Kudos [?]: 70 [0], given: 7

Manager
Joined: 13 Mar 2013
Posts: 179

Kudos [?]: 73 [0], given: 25

Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Re: If set S consists of the numbers 1, 5, -2, 8 and n, is 0 [#permalink]

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02 Jun 2017, 20:51
made a silly mistake . Easy question can trick you .
Never underestimate a question !!!!
_________________

Regards ,

Kudos [?]: 73 [0], given: 25

Re: If set S consists of the numbers 1, 5, -2, 8 and n, is 0   [#permalink] 02 Jun 2017, 20:51
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