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

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A certain one-day seminar consisted of a morning session and [#permalink]

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16 Feb 2006, 19:42
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A certain one-day seminar consisted of a morning session and an afternoon session. 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 after

Edited by Hong to make sure the stem makes sense. If this is not the intent please edit. Thanks.
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16 Feb 2006, 20:25
confused , E ??
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16 Feb 2006, 22:37
A is sufficient to answer the question. 3/4 people attended each seesion implies that 1/2 the people attended both the sessions and 1/4 people attended only morning session.
B does not say anything about the morning session at all.

My choice - A.

- Vipin
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16 Feb 2006, 23:43
I am a little confused by both the question and Vipin's reply.
First of all, does the question state that "if each of the 128 people attending the seminar attended at least ONE OF the two sessions?" Is that a typo there?
Also, Vipin, what do you mean 1/2 of people attended both? I thought it is 3/4 of the people who attended both sessions.....
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17 Feb 2006, 01:23
Think that cattalk is correct. The question is poorly worded.
Assuming that it says" ATTENDED AT LEAST ONE OF THE TWO SESSIONS'
then with Venn diagrams seems that A) by itself is INSUFF
M+A-M&A=128 we know M&A=96 ,two unknowns -INSUFF
B) M+A-M&A=128, given A=112-INSUFF
both combined -suff M+112-96=128 or M=112 subhstract 96 to get M only or 112-96=16
so C)
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17 Feb 2006, 13:15
guys, this question is from gmatprep and the OA is B. I am also confused as I picked C for this. NO OE though.....
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17 Feb 2006, 13:19
B is correct. Since those people have attended at least one of the two, and 7/8 attended the afternoon section the rest must be the ones who haven't attended the afternoon section, meaning the ones who attended the morning sectino only.
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18 Feb 2006, 01:47
Hallo HongHu, think that B) by itself is INSUFF.
From B) we know that 1/8 attended morning session, but we do not know how many people have atttended BOTH sessions.The stem says AT LEAST ONE OF it doesn't clarify if they have attended only one session
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19 Feb 2006, 14:17
BG wrote:
Hallo HongHu, think that B) by itself is INSUFF.
From B) we know that 1/8 attended morning session, but we do not know how many people have atttended BOTH sessions.The stem says AT LEAST ONE OF it doesn't clarify if they have attended only one session

If they have attended both then they would already been included in the people who have attended the afternoon session. See this:

People who attended any
= people in morning only + people in afternoon only + people in both
= people in morning only + people who have attended the afternoon session no matter if they attended both
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19 Feb 2006, 14:17
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