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# Can someone tell me if this is correct? This statement was

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CEO
Joined: 21 Jan 2007
Posts: 2768
Location: New York City
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Can someone tell me if this is correct? This statement was [#permalink]  31 Jul 2007, 04:01
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Can someone tell me if this is correct?

This statement was taken from this thread. http://www.gmatclub.com/phpbb/viewtopic ... c&start=20

All A's are B's means All B's are A's

I dont not think it makes sense if A is a subset of B.

In essence it is saying...

All humans are mammals
therefore mammals are humans.
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Director
Joined: 15 Jun 2007
Posts: 505
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: CR "All A's are B's means All B's are A's" [#permalink]  31 Jul 2007, 04:42
bmwhype2 wrote:
Can someone tell me if this is correct?

This statement was taken from this thread. http://www.gmatclub.com/phpbb/viewtopic ... c&start=20

All A's are B's means All B's are A's

I dont not think it makes sense if A is a subset of B.

In essence it is saying...

All humans are mammals
therefore mammals are humans.

I agree it doesn't make sense. All A's are B's means that if something it A it is necessary that it is B. If something is B it is sufficient to be A.

Using the humans/mammals example:
If X is human then it must be a mammal. - necessary
If X is a mammal then it may be human- sufficient

On a side note, that's a great post...
Director
Joined: 29 Jul 2006
Posts: 877
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If X is human then it must be a mammal. - necessary
If X is a mammal then it may be human- sufficient

It is the other way round...the first statement is sufficient and second is necessary.

All As are Bs.
Take an eg. All odd numbers are integers
but All Bs cant be As as all integers cant be odd.
CEO
Joined: 21 Jan 2007
Posts: 2768
Location: New York City
Followers: 8

Kudos [?]: 287 [0], given: 4

yep, simple converse structure.

Conditional : A ==> B
Converse: B==> A

Not logically equivalent
Director
Joined: 03 May 2007
Posts: 894
Schools: University of Chicago, Wharton School
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Kudos [?]: 57 [0], given: 7

vineetgupta wrote:
If X is human then it must be a mammal. - necessary
If X is a mammal then it may be human- sufficient

It is the other way round...the first statement is sufficient and second is necessary.

All As are Bs.
Take an eg. All odd numbers are integers
but All Bs cant be As as all integers cant be odd.

good job! that makes perfect sense.
Senior Manager
Joined: 13 Mar 2007
Posts: 295
Location: Russia, Moscow
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Re: CR "All A's are B's means All B's are A's" [#permalink]  14 Sep 2007, 08:59
bmwhype2 wrote:
Can someone tell me if this is correct?

This statement was taken from this thread. http://www.gmatclub.com/phpbb/viewtopic ... c&start=20

All A's are B's means All B's are A's

I dont not think it makes sense if A is a subset of B.

In essence it is saying...

All humans are mammals
therefore mammals are humans.

No, consider
A={1,2,3}
B={1,2,3,4,5}
Re: CR "All A's are B's means All B's are A's"   [#permalink] 14 Sep 2007, 08:59
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