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A certain one-day seminar consisted of a morning seminar and

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A certain one-day seminar consisted of a morning seminar and [#permalink] New post 28 Oct 2007, 09:10
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A certain one-day seminar consisted of a morning seminar and an afternoon seminar. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?

1) 3/4 of the people attended both sessions

2) 7/8 of the people attended the evening session
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Re: DS [#permalink] New post 28 Oct 2007, 09:34
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JDMBA wrote:
A certain one-day seminar consisted of a morning seminar and an afternoon seminar. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?

1) 3/4 of the people attended both sessions

2) 7/8 of the people attended the evening session


B.

If 7/8*128 = 112 attended afternoon (which includes those attending both sessions as well) so 128 - 112 are those that attended morning only.
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Re: DS [#permalink] New post 28 Oct 2007, 09:39
JDMBA wrote:
A certain one-day seminar consisted of a morning seminar and an afternoon seminar. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?

1) 3/4 of the people attended both sessions

2) 7/8 of the people attended the evening session


The Answer is B.

Option 1 alone is not giving any info about the remaining 1/4 of the people.
Option 2 alone gives the combined information about those who have attended both sessions or only evening sessions. Hence it can easily be deduced using 2 alone how many of the people have attended the morning session only.

This will be more clear if you try to use Venn Diagrams. :wink:
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 [#permalink] New post 28 Oct 2007, 11:51
While i got the answer right, I always gt confused with the wording "Atleast in Venn Diagrams". How do i associate this word with the " both" and "Neither" regions in the venn diagram,

Pls explain,
Thanks
  [#permalink] 28 Oct 2007, 11:51
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