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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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New post Updated on: 17 Dec 2018, 08:54
10
50
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

22% (01:39) correct 78% (01:34) wrong based on 1805 sessions

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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.

Originally posted by grepro on 12 Sep 2008, 18:42.
Last edited by Bunuel on 17 Dec 2018, 08:54, edited 1 time in total.
Edited the question.
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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 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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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 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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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 14 Sep 2008, 10:12
2
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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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 14 Sep 2008, 10:48
4
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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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 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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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 05 Jan 2017, 19:52
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Out of 3 children, it is possible that 2 are fine and 1 is not fine. Hence It is possible that Ellen is mistaken. Also it is possible that Louis too is mistaken. Hence it is possible that both are mistaken. Hence option B MUST be true - B is the correct answer.

It is possible that C is right (in cases that all 3 are sick or all 3 are fine), but it is not necessarily true that C is right (for example, in case only 2 out of 3 children are not fine). Since the phrase "it is possible"is not there option C, it is wrong. (If option B did not have the phrase "it is possible that.." then neither B nor C could be conclusively determined.)
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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 21 Dec 2018, 10:05
Dear Moderator,

Please move this to Inference.


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Re: Ellen: All three of Shirley's children have the measles!  [#permalink]

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New post 13 Feb 2019, 02:00
I am going to say that B is the correct answer.

So first of all we have to assume that if some one “has measles” (condition 1) they are not “fine” (condition 2).

So, we can discard A. Both Ellen and Lois can’t be right since if all of Shirley’s children have measles (condition 1) they cannot be fine (condition 2). Meaning one women must be wrong. Looking at B, it seems to make sense. Both women can be wrong, as the children can cease to be fine (condition 2 does not apply) even if they do not have measles (condition 1 does not apply). After all, the assumption does not say that not having measles means you must be fine. As we have established that both can be wrong this means that it is not necessary that one is right, so C is out. D is out because we have established that both cannot be right. E is clearly wrong since we have established that B can be the correct option.
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Re: Ellen: All three of Shirley's children have the measles!   [#permalink] 13 Feb 2019, 02:00
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