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1- All members of Group IV include all members of Group II

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GMAT Club Legend
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1- All members of Group IV include all members of Group II  [#permalink] New post 26 Dec 2003, 13:36
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A
B
C
D
E

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1- All members of Group IV include all members of Group II
2- All members of Group III include all members of Group I
3- All members of Group IV include all members of Group I
4- All members of Group II include all members of Group I
5- All members of Group III include all members of Group IV

Which of the following statements must be true in order to establish that Group III is the all-embracing group, i.e. includes Groups I, II, and IV?

A) Statement 1 is a vital piece of information
B) Statement 2 is a vital piece of information
C) Statement 3 is a vital piece of information
D) Statement 4 is a vital piece of information
E) None of the above statements is a vital piece of information
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 [#permalink] New post 26 Dec 2003, 14:06
E.

Statement 5 is the vital information.

IV includes II and I
therefore if III includes IV, III includes all the groups.
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 [#permalink] New post 26 Dec 2003, 14:13
I feel A.
Both statement 1 & 5 are important for deriving at the solution. As 5 is not in the list. I feel the answer should be A.
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 [#permalink] New post 26 Dec 2003, 14:24
But A does not establish that III includes all the other groups.

A only establishes that IV includes I and II.
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 [#permalink] New post 26 Dec 2003, 14:30
Statements 1 & 5 must to true to arrive at Group III is the all-embracing group. But 2,3 and 4 may are may not be vital. In other words,

5,2,1
5,3,1
5,4,1

are the possible ways to prove. My answer may or may not be the official answer.
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 [#permalink] New post 28 Dec 2003, 10:56
Official answer: A :yes
  [#permalink] 28 Dec 2003, 10:56
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1- All members of Group IV include all members of Group II

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