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Ellen: All three of Shirley's children have the measles!

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Ellen: All three of Shirley's children have the measles! [#permalink] New post 09 Dec 2006, 14:00
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A
B
C
D
E

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Ellen: All three of Shirley's children have the measles!

Lois: As a matter of fact, all three of Shirley's children are fine!

Accepting the assumption that nobody who has measles is fine, which of the following must be true about this exchange?

A) It is possible that both Ellen and Lois are right about Shirley's children.

B) It is possible that both Ellen and Lois are mistaken about Shirley's children.

C) Either Ellen is right about Shirley's children, or Lois is right about them, but they cannot both be right.

D) Ellen and Lois might both be right about Shirley's children, and they might both be wrong about them.

E) None of these alternatives correctly identifies the possibilities for this scenario.
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 [#permalink] New post 09 Dec 2006, 14:06
I take C.

On second thoughts: I am sure that the answer is D.
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 [#permalink] New post 09 Dec 2006, 16:04
if "nobody who has measles is fine" means "one who has measles is not fine".. then every option but C is incorrect... as only one of the guys can be correct...
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 [#permalink] New post 09 Dec 2006, 16:36
mm007 wrote:
if "nobody who has measles is fine" means "one who has measles is not fine".. then every option but C is incorrect... as only one of the guys can be correct...


Did you consider the possibility that they may be talking about 2 different Shirleys?
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 [#permalink] New post 09 Dec 2006, 16:47
That's a good catch.. however what if they are talking of the same Shirley.. then D will definitely not hold, i.e. both cant be wrong, or right together... one will definitely be right...

I think answer should be the one which can hold in any possibility... which is not any option here..

further I am not sure if you can make an assumption that they are not talking of the same Shirley...
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[#permalink] New post 09 Dec 2006, 20:31
B it is
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 [#permalink] New post 10 Dec 2006, 10:24
B it is.

Children no Measles
& Children not fine

Children no Measles
Children Fine

Children Measles
Children not fine
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 [#permalink] New post 10 Dec 2006, 12:41
B it seems.

A and D not possible since measles and "fine" cannot be both right.
C assumes that one of them is right...no reason to believe this either..

what's the correct answer?
btw, why is the correct answer called OA?
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 [#permalink] New post 10 Dec 2006, 18:28
Isn't D a combination of A and B.. If you are assuming B to be true, then part of D is also true..

I didn't get your reason to say "C assumes that one of them is right...no reason to believe this either." Can you elaborate?

Everything apart, what is the right answer, and with explanation? :)
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 [#permalink] New post 11 Dec 2006, 01:25
I have changed my mind on this. I now think its E.
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 [#permalink] New post 11 Dec 2006, 01:36
mm007 wrote:
That's a good catch.. however what if they are talking of the same Shirley.. then D will definitely not hold, i.e. both cant be wrong, or right together... one will definitely be right...

I think answer should be the one which can hold in any possibility... which is not any option here..

further I am not sure if you can make an assumption that they are not talking of the same Shirley...


I would go with C. We can't assume about Two Shirleys. Shirley is one individual and he/she is talked about.
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 [#permalink] New post 11 Dec 2006, 01:40
Tough one ..unable to decide between B and C
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 [#permalink] New post 11 Dec 2006, 01:43
Its either B or E...crazy one i wud say...thgh ill go for E
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Re: CR: Short venomous one ! [#permalink] New post 11 Dec 2006, 05:24
Swagatalakshmi wrote:
Ellen: All three of Shirley's children have the measles!

Lois: As a matter of fact, all three of Shirley's children are fine!

Accepting the assumption that nobody who has measles is fine, which of the following must be true about this exchange?


This is concerned with "all" and "some". Normally, the opposite of "all X is Y" is "some X is not Y".

Quote:
A) It is possible that both Ellen and Lois are right about Shirley's children.

If all X is Y then it's not possible that all X is not Y. They can't be both sick and healthy at the same time.

Quote:
B) It is possible that both Ellen and Lois are mistaken about Shirley's children.

Correct. Ellen may be mistaken and only some (one or two) of Shirley's children have measels. And Lois may be mistaken if only some (two or one) are fine. So it is possible they are both mistaken. Some X is Y is not inconsistent with Some X is not Y.

Quote:
C) Either Ellen is right about Shirley's children, or Lois is right about them, but they cannot both be right.

It is wrong to say one of the two has to be right. As we know they may not be all sick or all healthy.

Quote:
D) Ellen and Lois might both be right about Shirley's children, and they might both be wrong about them.

Yes they might both be wrong, but they can't both be right.

Quote:
E) None of these alternatives correctly identifies the possibilities for this scenario.

B does.
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 [#permalink] New post 11 Dec 2006, 06:30
one more B
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 [#permalink] New post 11 Dec 2006, 12:51
We are given two simple statements..

1. All children have measles.
2. All children are fine.

If I know, none who has measles is fine. How can I say both of them correct. If the above assumtion is: if measles, then not fine, its opposite will be: if fine, then no measle.

You can draw a ven-diagram and see yourself.. Draw a circle of measle, and a circle for being fine, and you put children in both of them.. You infact can't find any common intersection between the two given this assumption.. So children will exist only in one cirlce.. If this is the case, then only one is true... which is C...

I am ruling out the assumption that they are not talking of the same Shirley. If we want to consider this possibility, then safer answer is E.

I did not get HongHu's reply saying it is a question of some and all... How?

What does OA's explanation say?
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 [#permalink] New post 11 Dec 2006, 22:15
The OA is B. The official explanation given is as follows:

These two statements are called 'contraries.' That is, they cannot both be true, but they can both be false. The latter would valid if, for example, two of Shirley's children had measles and the third one was fine. But no combination of illness and health in Shirley's children will allow both Ellen and Lois's statements to be true. (C) is incorrect because there is no reason why either one of them has to be correct. Both Ellen and Lois could be wrong.
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  [#permalink] 11 Dec 2006, 22:15
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