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17 Jul 2016, 11:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
66% (02:36) correct
34%
(02:27)
wrong
based on 291
sessions
History
Date
Time
Result
Not Attempted Yet
At the 2016 convention for Aim Far Motivational Society (AFMS), each AFMS member had the option of inviting just one non-member guest. Attending as the single guest of a member is the only way a non-member would be able to attend the convention. At the 2016 convention, of the AFMS Convention Hall’s seats, 60% were occupied by AFMS members and 10% were occupied by non-member guest. How many seat does the AFMS Convention Hall have?
(1) If 60% of the members who didn’t bring a guest instead had brought one, then the hall would have been 100% full.
(2) The number of empty seats was half the number of the AFMS members present.
(1) If 60% of the members who didn’t bring a guest instead had brought one, then the hall would have been 100% full.
(2) The number of empty seats was half the number of the AFMS members present.
17 Jul 2016, 23:09
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STEM:let, total # of seats of the Hall=x
then,
# of seats occupied by members=60% of x
# of seats occupied by guest =10% of x
# of empty seats =(100-60-10)% of x=30% of x
# of the members who didn’t bring a guest =(60-10)% of x= 50% of x
x=?
STAT-1: 60% of the members who didn’t bring a guest=60% of 50% of x=30% of x
30% of x (empty #of seats) is needed to be 100% full. Already said in stem. No new information is here.....insufficient
STAT-2: half the number of the AFMS members present=1/2*60% of x=30% of x (empty #of seats)
Already said in stem. No new information is here.....insufficient
As no new information is in stat-1 and stat-2, nothing to combine.
Ans: E
then,
# of seats occupied by members=60% of x
# of seats occupied by guest =10% of x
# of empty seats =(100-60-10)% of x=30% of x
# of the members who didn’t bring a guest =(60-10)% of x= 50% of x
x=?
STAT-1: 60% of the members who didn’t bring a guest=60% of 50% of x=30% of x
30% of x (empty #of seats) is needed to be 100% full. Already said in stem. No new information is here.....insufficient
STAT-2: half the number of the AFMS members present=1/2*60% of x=30% of x (empty #of seats)
Already said in stem. No new information is here.....insufficient
As no new information is in stat-1 and stat-2, nothing to combine.
Ans: E
21 Jul 2016, 09:30
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Bunuel
Let total seat be 100x.
Seats occupied by members = 60x.
seats occupied by Guests =10x.
Left seats= 30x.
Members who dont had guests = 60x-10x=50x.
statement 1 : 60% of Non Guest Members = 30 x = seats left. But this information can be taken out of the question itself. Hence nothing new is provided here. Insufficient.
Statement 2 : Lefts seats = half the number of AFSM Members. We already know in the question that 30x= half of 60x. Hence no new information. Insufficient.
Together, no new information to find the total number of seats.
Hence ans is E.
