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# The median of Set S and T are 12 and 18, respectively. When

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Current Student
Joined: 11 May 2008
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The median of Set S and T are 12 and 18, respectively. When [#permalink]

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28 Jul 2008, 02:42
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. The median of Set S and T are 12 and 18, respectively. When S and T are combined, is the median of new set greater than the greatest number in Set S?
(1) The range of Set S is 6.
(2) The range of Set T is 6.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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SVP
Joined: 17 Jun 2008
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28 Jul 2008, 04:00
E.

I will solve with the example.

Stmt 1: S can have (9,12,15) or (11,12,17) or (12,12,18) or (6,12,12), etc.
Stmt 2: T can have (18,18,24) or (17,18,23) or (15,18,21) or (12,18,18), etc.

Combining the two can give a set that can have median greater or equal or even smaller than the greatest element in set S.

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Senior Manager
Joined: 19 Mar 2008
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28 Jul 2008, 09:01
arjtryarjtry wrote:
. The median of Set S and T are 12 and 18, respectively. When S and T are combined, is the median of new set greater than the greatest number in Set S?
(1) The range of Set S is 6.
(2) The range of Set T is 6.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

(1) is Not Suff
The combined set will have a median k, where 12 < k < 18
The largest value of Set S can be 18 when the set is for example: 12,12,12,12,12,12, ..., 18 (range is 6 and median is 12)
The largest value of Set S can also be 12 when the set is for example: 6,12,12,12,12,12, ..., 12 (range is 6 and median is 12)

(2) is Not Suff because it gives no info mon the largest value of Set S

(1) & (2) combine is Not Suff because (2) is not helful is any way.

Ans is E

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Re: median   [#permalink] 28 Jul 2008, 09:01
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