Sets A, B and C.......

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Sets A, B and C.......

by megamix06 » Tue Mar 17, 2009 4:16 pm
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 in C.
(2) A has 25 elements, B has 30 elements and C has 35 elements.

A)
B)
C)
D)
E)

What is your opinions?
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Source: — Data Sufficiency |

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by rs2010 » Tue Mar 17, 2009 4:31 pm
option A
since A and B have x common and out those x 9 are present in C so we know what we are looking for. Hence A is sufficient.

Nothing can be found from B unless we know AuBuC

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