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

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288
1- All members of Group IV include all members of Group II  [#permalink]

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26 Dec 2003, 14:36
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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
Manager
Joined: 29 Aug 2003
Posts: 241
Location: MI

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26 Dec 2003, 15:06
E.

Statement 5 is the vital information.

IV includes II and I
therefore if III includes IV, III includes all the groups.
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus

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26 Dec 2003, 15:13
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.
Manager
Joined: 29 Aug 2003
Posts: 241
Location: MI

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26 Dec 2003, 15:24
But A does not establish that III includes all the other groups.

A only establishes that IV includes I and II.
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus

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26 Dec 2003, 15:30
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.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288

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28 Dec 2003, 11:56
28 Dec 2003, 11:56
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