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Of the 70 children who visited a certain doctor last week,

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Of the 70 children who visited a certain doctor last week,  [#permalink]

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New post 17 Aug 2010, 09:57
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Difficulty:

  15% (low)

Question Stats:

78% (00:51) correct 22% (00:49) wrong based on 103 sessions

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Of the 70 children who visited a certain doctor last week, how many had neither a cold nor a cough?

(1) 40 of the 70 children had a cold but not a cough.

(2) 20 of the 70 children had both a cold and a cough.

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Re: DS question  [#permalink]

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New post 17 Aug 2010, 10:23
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aiming4mba wrote:
Of the 70 children who visited a certain doctor last week, how many had neither a cold nor a cough?

(1) 40 of the 70 children had a cold but not a cough.

(2) 20 of the 70 children had both a cold and a cough.


All={Children with a cough ONLY}+{Children with a cold ONLY}+{Children with a cough AND a cold}+{Children with neither a cold nor a cough} --> 70={Children with a cough ONLY}+{Children with a cold ONLY}+{Children with a cough AND a cold}+{Children with neither a cold nor a cough}

(1) 40 of the 70 children had a cold but not a cough --> so {Children with a cold ONLY}=40. Not sufficient.

(2) 20 of the 70 children had both a cold and a cough --> so {Children with a cough AND a cold}=20. Not sufficient.

(1)+(2) 70={Children with a cough ONLY}+40+20+{Children with neither a cold nor a cough} --> 10={Children with a cough ONLY}+{Children with neither a cold nor a cough}, still 2 unknowns. Not sufficient.

Answer: E.
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Re: DS question  [#permalink]

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New post 17 Aug 2010, 11:17
great explanation bunuel. thanks!
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Re: DS question  [#permalink]

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New post 17 Aug 2010, 11:44
Answer E

To calculate the result one should the nos of Children who had Cough but not cold.
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Re: DS question  [#permalink]

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New post 17 Aug 2010, 20:38
Bunuel, you're the best!
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New post 28 Aug 2010, 02:37
Bunuel is the reason for the success of this forum. Thanks a lot to Bunuel!!
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Re: Of the 70 children who visited a certain doctor last week,  [#permalink]

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New post 22 Jan 2018, 04:58
Hello from the GMAT Club BumpBot!

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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Re: Of the 70 children who visited a certain doctor last week, &nbs [#permalink] 22 Jan 2018, 04:58
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