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

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12 Aug 2007, 14:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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12 Aug 2007, 16:01
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
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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
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12 Aug 2007, 18:21
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
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12 Aug 2007, 19:14
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.
12 Aug 2007, 19:14
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