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15 Oct 2019, 08:21
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:48) correct
21%
(02:21)
wrong
based on 790
sessions
History
Date
Time
Result
Not Attempted Yet
The table shows the number of residents in a certain development who are willing to contribute to build a swimming pool, provided the required contribution does not exceed the amount indicated by the resident. The following three amounts are being considered as the required contribution. Which would ensure that more than half of the residents contribute to build the pool?
I. $33
II. $48
III. $55
A. None
B. I only
C. II only
D. I and II only
E. I, II, and III
Attachment:
GMAT_PS_PREP_T2_186.png [ 19.64 KiB | Viewed 13261 times ]
15 Oct 2019, 13:42
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if $33 is required, residents with budget of $10 won't be able to contribute,
so the remaining = 60 out of 80, which is more than half --> (I) in
if $48 is required, residents with budget of $10 won't be able to contribute,
so the remaining = 60 out of 80, which is more than half --> (II) in
if $55 is required, residents with budget of $10 & $50won't be able to contribute,
so the remaining = 30 out of 80, which is less than half --> (III) out
D
so the remaining = 60 out of 80, which is more than half --> (I) in
if $48 is required, residents with budget of $10 won't be able to contribute,
so the remaining = 60 out of 80, which is more than half --> (II) in
if $55 is required, residents with budget of $10 & $50won't be able to contribute,
so the remaining = 30 out of 80, which is less than half --> (III) out
D
General Discussion
15 Oct 2019, 15:01
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In order to ensure more than half the residents contribute, we need more than half of 10+20+30+20 = 80 people to contribute, so more than 40 people. The first two categories only include 30 people which isn't enough, thus we need people from the first three categories. In order to include all of those people, the contribution requirement has to be lower than $50. Only I and II are lower than 50 so we choose D.
