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The table shows the number of residents in a certain development who

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The table shows the number of residents in a certain development who  [#permalink]

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New post 15 Oct 2019, 07:21
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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, 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


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Re: The table shows the number of residents in a certain development who  [#permalink]

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New post 15 Oct 2019, 12:42
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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
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The table shows the number of residents in a certain development who  [#permalink]

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New post 15 Oct 2019, 14:01
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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.
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Re: The table shows the number of residents in a certain development who  [#permalink]

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New post 13 Apr 2020, 08:36
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Bunuel wrote:
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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, 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


Before we try answering the question, let's first make sure we understand what the table is telling us.

The TOP row tells us that 10 residents are willing to pay up to $300 each.
The SECOND row tells us that 20 residents are willing to pay up to $100 each.
The THIRD row tells us that 30 residents are willing to pay up to $50 each.
The BOTTOM row tells us that 20 residents are willing to pay up to $10 each.
TOTAL number of residents = 80

Now let's examine the three statements...

Ⅰ. $33
10 residents are willing to pay $33 each.
20 residents are willing to pay $33 each.
30 residents are willing to pay $33 each.
10 + 20 + 30 = 60
So, 60 of the 80 residents are willing to pay $33 each.
In other words, more than half of the residents are willing to pay $33 each.

Ⅱ. $48
10 residents are willing to pay $48 each.
20 residents are willing to pay $48 each.
30 residents are willing to pay $48 each.
10 + 20 + 30 = 60
So, more than half of the residents are willing to pay $48 each.


Ⅲ. $55
10 residents are willing to pay $55 each.
20 residents are willing to pay $55 each.
10 + 20 = 30
So, 30 of the 80 residents are willing to pay $55 each.
In other words, LESS than half of the residents are willing to pay $55 each.

Answer: D

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Re: The table shows the number of residents in a certain development who  [#permalink]

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New post 17 Apr 2020, 03:17
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Bunuel wrote:
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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, 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


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.

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

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

Answer: D

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Re: The table shows the number of residents in a certain development who   [#permalink] 17 Apr 2020, 03:17

The table shows the number of residents in a certain development who

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