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# Set A and Set B are non-empty sets. a is the element in Set

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VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
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Set A and Set B are non-empty sets. a is the element in Set [#permalink]  12 Aug 2007, 14:21
Set A and Set B are non-empty sets. a is the element in Set A and b is the element in Set B.
Is a the same as b?

1) Set A and Set B have 1 element each
2) Set A and Set B are the same sets

plz explain
Intern
Joined: 09 Aug 2007
Posts: 33
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my answer choice would be 2, stmt 2 alone is sufficient.

statement 1 tells us set A and set B have 1 element each, but does not specify exactly what the element is. for instance, what if a = 5 and b = 3. set A is {5} and set B is {3}. they have 1 element each, but a is not the same as b. you could let both a and b equal the same value and the answer to the question stem would be yes. sometimes yes and sometimes no means this is insufficient.

statement 2 (if i'm interpreting it correctly) is telling us that the sets are comprised of the same values or elements. if set A is comprised of a and set B is comprised of b, and the sets are the same, then a would be the same as b.

what is the OA?
Manager
Joined: 07 Feb 2007
Posts: 54
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Re: set [#permalink]  12 Aug 2007, 16:23
Ravshonbek wrote:
Set A and Set B are non-empty sets. a is the element in Set A and b is the element in Set B.
Is a the same as b?

1) Set A and Set B have 1 element each
2) Set A and Set B are the same sets

plz explain

I would go with E.

Statement 1 is straight fwd.

Statement 2 says these are same sets but still elements a and b can be different.

What's the OA?
SVP
Joined: 28 Dec 2005
Posts: 1579
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the two statements together should be enough, no ?

if we know that the sets are the same, and each set only has one element in it, then we know that a must equal b
Intern
Joined: 10 Aug 2007
Posts: 30
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Kudos [?]: 1 [0], given: 0

pmenon wrote:
the two statements together should be enough, no ?

if we know that the sets are the same, and each set only has one element in it, then we know that a must equal b

I agree with C, and also want to know the OA.
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