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grepro
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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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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grepro
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

:-D
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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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Dear Moderator,

Please move this to Inference.


Regards
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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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Hello from the GMAT Club VerbalBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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