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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
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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

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Manager
Joined: 29 Aug 2003
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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.

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Senior Manager
Joined: 05 May 2003
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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.

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Manager
Joined: 29 Aug 2003
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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.

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Senior Manager
Joined: 05 May 2003
Posts: 424

Kudos [?]: 12 [0], given: 0

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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.

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 528 [0], given: 0

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28 Dec 2003, 11:56

Kudos [?]: 528 [0], given: 0

28 Dec 2003, 11:56
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