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According to a recent census, West Egg had more mansions per ca-pita

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According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post Updated on: 02 May 2018, 21:30
3
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A
B
C
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Question Stats:

45% (01:14) correct 55% (01:30) wrong based on 562 sessions

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According to a recent census, West Egg had more mansions per ca-pita last year than East Egg, while East Egg had slightly fewer residents than West Egg. Since the census, West Egg and East Egg have each seen the demolition of a dozen dilapidated mansions within their respective borders, and no new mansions have begun construction. It must be true, therefore, that _________.

Which of the following best completes the passage?

A) West Egg and East Egg both have more cared-for mansions than dilapidated mansions.
B) West Egg has more mansions than East Egg.
C) West Egg has more mansions per capita than East Egg.
D) West Egg and East Egg have the same number of mansions.
E) West Egg has more residents than East Egg

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Originally posted by WaterFlowsUp on 05 Jul 2015, 02:17.
Last edited by Bunuel on 02 May 2018, 21:30, edited 1 time in total.
Renamed the topic and edited the question.
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 05 Jul 2015, 02:20
6
west Egg: Let's say
Before demolition # of houses =20
# of resident = 10
Per capita =2

Eas egg
# of houses=17
# of people=9
per-capita= 1.95

after demolotion of a dozenmansion

WEST egg
# of houses= 8
east egg
# of houses= 5

Therefore B can be inferred
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 05 Jul 2015, 22:41
Shouldn't 'C' also be the right answer here,

Per Capita for west:
8/10 = 0.8

Per Capita for East:
5/9 = 0.55

0.8 > 0.55

I picked C and I'm still not sure why this isn't the right answer.


WaterFlowsUp wrote:
west Egg: Let's say
Before demolition # of houses =20
# of resident = 10
Per capita =2

Eas egg
# of houses=17
# of people=9
per-capita= 1.95

after demolotion of a dozenmansion

WEST egg
# of houses= 8
east egg
# of houses= 5

Therefore B can be inferred
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 06 Jul 2015, 03:33
WaterFlowsUp wrote:
According to a recent census, West Egg had more mansions per ca-pita last year than East Egg, while East Egg had slightly fewer residents than West Egg. Since the census, West Egg and East Egg have each seen the demolition of a dozen dilapidated mansions within their respective borders, and no new mansions have begun construction. It must be true, therefore, that _________.

Which of the following best completes the passage?

A) West Egg and East Egg both have more cared-for mansions than dilapidated mansions.
B) West Egg has more mansions than East Egg.
C) West Egg has more mansions per capita than East Egg.
D) West Egg and East Egg have the same number of mansions.
E) West Egg has more residents than East Egg




My Approach to solve this one is .......

1) West egg more mentions per capita than East engg (number of mansions / total population )
2) East engg has slightly fewer residents (assume equal) to West engg .

Now from these points you can infer that West has more mansions than East has .

Also this point says , demolition has equal impact on both east and west mansions ....this tells number of mensions reduced in east is equal to that of west .
So we can say that west still has more mansions than east has .
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 02 Aug 2015, 11:55
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Why is E wrong?

In must be true question rephrasing premise is also a correct answer
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 28 Jan 2016, 15:41
picked E. I can see how B can possibly be correct but E is not incorrect.
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 29 Jan 2016, 05:51
Hi chetan2u / daagh,

I am stuck between B and C.
OA is B.
Can you please assist why is C incorrect.
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 30 Jan 2016, 08:56
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RAHKARP27071989 wrote:
Hi chetan2u / daagh,

I am stuck between B and C.
OA is B.
Can you please assist why is C incorrect.


Hi,

OA is B, since it can be said with surety that the number of mansions are higher in west egg than east egg..

we are given last year per capita mansions was more in west egg and also the population was more in west egg..
so the number of mansions in west egg= number per capita * popualtion will be greater as both number per capita and popualtion is higher in west egg than east egg..
This year only 12 mansions have been demolished and new constructed, so this year too number of mansions will be higher in west egg than east egg

But can we say the same about C..
C talks of mansions per capita, which is dependent on number of mansions and population...
we know the changes in number of mansions, but nothing about population..
the population too if unchanged will give you an answer YES for C,
But if the population has increased in west and decreased in east, the answer can be NO..

so E need not be true, as we are not told anything about change in population..
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 30 Jan 2016, 10:16
1
dina98 wrote:
picked E. I can see how B can possibly be correct but E is not incorrect.



Hi,
E is incorrect because we are not told anything about the change in population

if the population has increased in west and decreased in east, YES..
But if the population has decreased in west and increased in east, NO..

We cannot assume that the relative value of last year are true for this year unless specified
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 31 Jan 2016, 09:41
Hey Guys
Look at these two sentences:
West Egg had more mansions per ca-pita last year than East Egg, while East Egg had slightly fewer residents than West Egg.
Pay attention to "slightly" which means:
West Egg mansion per capita * residents > East Egg mansion percapita* residents
And both West Egg and East Egg will demolite same amount of mansions, so still, West Egg mansions are more than East Egg.
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 10 Feb 2018, 06:54
As per chetan2u 's logic,nothing can be assumed about the change in population, as it could have increased or decreased. This is the reason why E is incorrect and why C is uncertain.

C talks about mansion per capita = Total mansion/Total population. Since, this option is dependent on population and we are uncertain about fluctuation in population between the two points, C is uncertain.

However, going by the same logic, B is also uncertain. B talks about number of mansions, which product of mansions per capita & total population. Since the answer is dependent on total population and following the logic that you stated for C and E, their is a possibility that population of West Egg has declined extremely drastically and is now way less than East Egg. In that scenario, the number of mansions will be less in West Egg then East Egg.
If we are using the logic that we cannot assume population increase or decrease and ruling out option E and C, we should apply the same logic to A.
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Re: According to a recent census, West Egg had more mansions per ca-pita [#permalink]

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New post 10 Feb 2018, 07:05
sonaxi wrote:
As per chetan2u 's logic,nothing can be assumed about the change in population, as it could have increased or decreased. This is the reason why E is incorrect and why C is uncertain.

C talks about mansion per capita = Total mansion/Total population. Since, this option is dependent on population and we are uncertain about fluctuation in population between the two points, C is uncertain.

However, going by the same logic, B is also uncertain. B talks about number of mansions, which product of mansions per capita & total population. Since the answer is dependent on total population and following the logic that you stated for C and E, their is a possibility that population of West Egg has declined extremely drastically and is now way less than East Egg. In that scenario, the number of mansions will be less in West Egg then East Egg.
If we are using the logic that we cannot assume population increase or decrease and ruling out option E and C, we should apply the same logic to A.


Hi sonaxi..
You are correct that the mansions are dependent on population and per capita..
So let's see what was the case before demolition..
W had more mansions per capita and more population too last year..
So ofcourse more mansions per capita and more population MEANS more mansions last year..

Now what has happened since last year..
Same number of mansions are demolished. So same number being taken out, the larger number will remain larger..
So We has more mansions than E..
B should be true and certain
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Re: According to a recent census, West Egg had more mansions per ca-pita   [#permalink] 10 Feb 2018, 07:05
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