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Set A, B, C have some elements in common. If 16 elements are [#permalink]
 07 Apr 2011, 12:50
Question Stats:
64% (02:30) correct
35% (01:11) wrong based on 0 sessions
Set A, B, C have some elements in common. If 16 elements are in both A and B, 17 elements are in both Aand 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 25 elements, B has 30 elements, and C has 35 elements.
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Re: Set A, B, C have some elements in common. If 16 elements are [#permalink]
17 Jul 2012, 21:08
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smartmanav wrote: I do not agree at all that A is right ans....
Even if u consider 9 are common among A, B and C
still we dont have any clue that
whether
elements which are common b/w B and C also common with A also.... ?
and
whether
elements which are common b/w C and A also common with B too... ?
without these inf... nothing can be said.... Hiya - the statement reads that "of the 16 elements that are in both A and B, 9 elements are also in C". The first half of this means that there are 16 elements (let's say, 1 to 16) that are in A, and are also in B. The second half of the statement would indicate that of the numbers 1-16, 1-9 are also in C. This allows you to answer the question - there are 9 elements in A, B and C. Did that clear it up a little?
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Re: Overlapping sets DS [#permalink]
07 Apr 2011, 13:03
S1 is re-stating the answer. Hence sufficient. S2 Very insufficient information. We still need the total number of elements. Hence A. gmatpapa wrote: Set A, B, C have some elements in common. If 16 elements are in both A and B, 17 elements are in both Aand 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 25 elements, B has 30 elements, and C has 35 elements.
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Manager
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Re: Overlapping sets DS [#permalink]
07 Apr 2011, 19:30
i agree, A looks sufficient. In B you will not be able to figure out the common elements.
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Re: Overlapping sets DS [#permalink]
07 Apr 2011, 22:17
The answer is indeed A. You can see this for getting a proper visual idea of why (2) is insufficient. http://www.manhattangmat.com/forums/set ... t1921.html
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Intern
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Re: Set A, B, C have some elements in common. If 16 elements are [#permalink]
17 Jul 2012, 17:16
I do not agree at all that A is right ans....
Even if u consider 9 are common among A, B and C
still we dont have any clue that
whether
elements which are common b/w B and C also common with A also.... ?
and
whether
elements which are common b/w C and A also common with B too... ?
without these inf... nothing can be said....
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Intern
Joined: 18 Jun 2012
Posts: 31
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Kudos [?]:
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Re: Set A, B, C have some elements in common. If 16 elements are [#permalink]
17 Jul 2012, 21:38
Thnx man , it was a word trap , with 2 weeks left to my exam I will have to b cautious.
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Re: Set A, B, C have some elements in common. If 16 elements are
[#permalink]
17 Jul 2012, 21:38
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