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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]

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12 Sep 2008, 18:42
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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.
[Reveal] Spoiler: OA
If you have any questions
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12 Sep 2008, 18:49
IMO C.
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12 Sep 2008, 20:10
IMO C
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12 Sep 2008, 21:18
Somehow B is appealing
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13 Sep 2008, 10:11
OA is B. My only point is either the children can have measles or not have it. So how can both be wrong. One of them has to be correct.
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13 Sep 2008, 10:28
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grepro wrote:
OA is B. My only point is either the children can have measles or not have it. So how can both be wrong. One of them has to be correct.

I am not sure I understood your point. If one of them is correct, How can B be correct, which says that both are possibly wrong.. Lets do a little bit of reverse engineering

E: 3 SC have M

L: 3 SC are fine

A: If one has M, he/she is not fine

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

So negate what E & L are saying.

A : If one has M, he/she is not fine

E : 3 SC do not have M -> 3SC are fine (Can we say this based on assumption??)

L : 3 SC are not fine.

How can they be both fine and !fine at the same time?
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13 Sep 2008, 13:49
icandy wrote:
grepro wrote:
OA is B. My only point is either the children can have measles or not have it. So how can both be wrong. One of them has to be correct.

I am not sure I understood your point. If one of them is correct, How can B be correct, which says that both are possibly wrong.. Lets do a little bit of reverse engineering

E: 3 SC have M

L: 3 SC are fine

A: If one has M, he/she is not fine

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

So negate what E & L are saying.

A : If one has M, he/she is not fine

E : 3 SC do not have M -> 3SC are fine (Can we say this based on assumption??)

L : 3 SC are not fine.

How can they be both fine and !fine at the same time?

I think grepro had a doubt in OA as well. I think C would work better than B does...more thoughts?
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13 Sep 2008, 18:37
grepro 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?

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.

Assumption: "nobody who has measles is fine" (what a dog of a sentence)- which can be re-stated as- "anyone who has measles is NOT fine" or "anyone who has NO measeles is fine".

Ellen: All three of Shirley's children have the measles!
Lois: As a matter of fact, all three of Shirley's children are fine!

Based on the assumption above, either one of them can only be right.
If Ellen is correct- the children have measles, then they are not fine-> makes Lois's statement incorrect
If Lois is correct- the children are fine, then they cannot have measles-> makes Ellen's statement incorrect.

Hence (C).
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14 Sep 2008, 06:21
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grepro 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?

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.

IMO B)

The Q ask "must be true". It is possible that Ellen and Lois are mistaken about one or two children of Shirley. C) says either one is right which may or may not be true.
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14 Sep 2008, 09:34
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nmohindru wrote:
grepro 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?

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.

IMO B)

The Q ask "must be true". It is possible that Ellen and Lois are mistaken about one or two children of Shirley. C) says either one is right which may or may not be true.

Actually C overlooks the fact that both can be wrong but B says possibly hence no restriction on other conditions !!!EXTREME choices are often not correct !!!
B is best :
its possible 2SC have M and 1 sc does not
1 sc is fine 2 are not
BOTH WENT WRONG here hence this scenario needs to be taken care .But C does not give any space for this it says either of them should be correct which is wrong
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14 Sep 2008, 10:12
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But the question stem clearly says that both E and L are talking about all 3 the three children not one or two.
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14 Sep 2008, 10:48
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grepro wrote:
But the question stem clearly says that both E and L are talking about all 3 the three children not one or two.

Ok fine i agree on this that the E and L talk about all three
say,E is incorrect => all the three dont have measels .This means
1)one has measels
or
2)only two has measels
or
3)none has measels

hence above can be true which means in case1 and case2 Even L is wrong so we cannot say whenever E is wrong L can be right
clearly its a possibility that E and L both can be false as per (C)where nothing is must be just coulD be !!!quite relaxed

HTH

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14 Sep 2008, 10:52
Point taken....many thanks.
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28 Oct 2010, 12:22
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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.

This is not the correct answer because someone who has measles cannot be fine and one of them says they all have measles and the other says they're all fine.

(B) It is possible that both Ellen and Lois are mistaken about Shirley's children.
This is the correct answer. It's perfectly possible that neither of them have measles. However, that doesn't mean they're all fine. They can be not fine for some other reason other than measles.

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

They cannot both be right but it doesn't mean one of them has to be right. See (B)

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

They might be both wrong about them, but they can't be both right

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

Not true for the only reason that B is right. Kinda silly
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28 Oct 2010, 14:39
I think the answer is C.
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28 Oct 2010, 20:20
c for me
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28 Oct 2010, 22:35
OA IS WRONG GO FOR C
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28 Oct 2010, 22:56
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.
Since E contradicts L, it is not possible and thus cannot be true.

(B) It is possible that both Ellen and Lois are mistaken about Shirley's children.
Yes, this is possible. It may not necessarily be so but possibility still exists and we must not exclude it.

(C) Either Ellen is right about Shirley's children, or Lois is right about them, but they cannot both be right.
This statement implies one of them is definitely right. But they can both be wrong.

(D) Ellen and Lois might both be right about Shirley's children, and they might both be wrong about them.
Unites options of A and B. Wrong since A is wrong.

(E) None of these alternatives correctly identifies the possibilities for this scenario.
Wrong. B does.

Last edited by kiroleg on 10 Nov 2010, 04:33, edited 1 time in total.
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29 Oct 2010, 05:46
My first take was C (I even went to the lengths to tell myself that assuming the kids werent suffering from anything else), but after seeing arguments presented by some of the club members, B looks safest bet.
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Last edited by vaibhavtripathi on 29 Oct 2010, 06:27, edited 1 time in total.
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29 Oct 2010, 06:18
good one..that's what I have to say.

Went for C..but now I stand corrected.
Re: CR-children   [#permalink] 29 Oct 2010, 06:18

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