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The table shows the number of residents in a certain development who are willing to contribute to build a swimming pool,

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by VJesus12 » Wed May 20, 2020 6:05 am

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The table shows the number of residents in a certain development who are willing to contribute to building 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 building 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

[spoiler]OA=D[/spoiler]

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Re: The table shows the number of residents in a certain development who are willing to contribute to build a swimming p

by Scott@TargetTestPrep » Mon Jun 01, 2020 7:17 am
VJesus12 wrote: ↑
Wed May 20, 2020 6:05 am
 GMAT_PS_PREP_T2_186.png

The table shows the number of residents in a certain development who are willing to contribute to building 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 building 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

[spoiler]OA=D[/spoiler]

Solution:

The total number of residents is 10 + 20 + 30 + 20 = 80.

If the required contribution is $33, then 10 + 20 + 30 = 60 residents would contribute, which is more than half of the residents. Statement I is true

If the required contribution is $44, then again, 10 + 20 + 30 = 60 residents would contribute, which is more than half of the residents. Statement II is true.

If the required contribution is $55, then 10 + 20 = 30 residents would contribute, which is less than half the residents. Statement III is false.

Answer: D

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