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# Sets A, B and C have some elements in common. If 16 elements

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Senior Manager
Joined: 07 Jul 2005
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Sets A, B and C have some elements in common. If 16 elements [#permalink]

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26 Oct 2005, 22:08
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Sets A, B and C have some elements in common. If 16 elements are in both A and B, 17 elements are in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?

(1) Of the 16 elements that are in both A and B, 9 elements are also in C

(2) A has 15 elements, B has 30 elements and C has 35 elements.

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Senior Manager
Joined: 02 Oct 2005
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26 Oct 2005, 23:34
I am going to try the answer (not quite sure): Ans: A

stmt 1) is suff, as gives information about the common elements of A, B & C (9 elements)

stmt 2) is insuff, as we do not have the total number of elements.

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Director
Joined: 14 Sep 2005
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Location: South Korea

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27 Oct 2005, 01:29
sudhagar wrote:
I am going to try the answer (not quite sure): Ans: A

stmt 1) is suff, as gives information about the common elements of A, B & C (9 elements)

stmt 2) is insuff, as we do not have the total number of elements.

stmt 1) is suff. The answer should be A.
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Senior Manager
Joined: 04 May 2005
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27 Oct 2005, 09:27
Is stmt 2 valid ?

A and B => 16

A has 15

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Director
Joined: 24 Oct 2005
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28 Oct 2005, 16:36
qpoo wrote:
Is stmt 2 valid ?

A and B => 16

A has 15

I agree.. Stmt 2 does not make sense to me.

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28 Oct 2005, 16:36
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