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# Ditrama is a federation made up of three autonomous regions.

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Director
Joined: 26 Oct 2016
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Re: Ditrama is a federation made up of three autonomous regions.  [#permalink]

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22 Apr 2017, 06:26
This is an inference question. The right answer to an inference question is something that must be true based on one or more statements in the passage. Here, we can make a deduction, and predict the correct answer.

We know that Korva's revenue share decreased even though their population increased. This must mean that, collectively, the other two countries experienced a greater proportional increase in population. Now, a key thing to understand is that in order for the other two countries to have experienced a collective increase, it doesn't have to be the case that both of these countries did. But at least one of them would have had to. Thus, choice E is correct.
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Re: Ditrama is a federation made up of three autonomous regions.  [#permalink]

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15 Feb 2018, 11:57
chetan2u wrote:
terp26 wrote:
Ditrama is a federation made up of three autonomous regions. Korva. Mitro, and Guadar, Under the federal revenue-sharing plan, each region receives a share of federal revenues equal to the share of the total population of Ditrama residing in that region as shown by a yearly population survey. Last year the percentage of federal revenues Korva received for its share decreased somewhat even though the population survey on which the revenue-sharing was based showed that Korva's population had increased.

If the statements above are true, which one of the following must also have been shown by the population survey on which last year's revenue-sharing in Dirama was based?

(A) Of the three regions Korva had the smallest number of residents
(B) The population of Korva grew by a smaller percentage than it did in previous years
(C) The populations of Mitro and Guadar each increased by a percentage that exceeded the percentage by which the population of Korva increased.
(D) Of the three regions. Korva's numerical increase in population was the smallest
(E) Korva's population grew by a smaller percentage than did the population of at least one of the other two autonomous regions.

Hi,
In response to a PM and also to few posts above..

Lets do first thing first-- rephrase the PARA

three regions K ,M and G have certain people of D residing in them. K, M and G recieve funds proportionate to that population. Although K's population has increased, but its share of funds has dropped..

INFERENCE--

Clearly its share is now going to ONE of the other two or may be BOTH depending on their increase, but we are sure that atleast ONE has eaten into the share..

Choices:-

(A) Of the three regions Korva had the smallest number of residents
We are talking of change in share, so this is not valid here..

(B) The population of Korva grew by a smaller percentage than it did in previous years
the distribution of funds is relative to all three, so does not depend on alone K and may be other have increased by even smaller %

(C) The populations of Mitro and Guadar each increased by a percentage that exceeded the percentage by which the population of Korva increased.
We cannot say for sure both would have increased. Its possible that only ONE is eating into the share of other TWO..

(D) Of the three regions. Korva's numerical increase in population was the smallest
A small numerical increase may be a large % increase .. 2 person increase in population of 4 is 50%.

(E) Korva's population grew by a smaller percentage than did the population of at least one of the other two autonomous regions.
YES, we can say this for SURE as atleast someone would have taken that share..

Having given explanation for correct answer, the Q is FLAWED in one respect:-
Quote:
equal to the share of the total population of Ditrama residing in that region as shown by a yearly population survey
...
The population of K increased, it could have just increased because other people, not of Ditrama, settled there. Here the Increase is there in population but not in share as these people do not belong to Ditrama.. May be all three decreased and K decreased by max %.. Had it been mentioned that Population survey measures ONLY people of Ditrama or not mentioned'population of Ditrama residing in that region', it would be better.

Dear Chetan2u,

Per the question stem, we understand that federal revenues are distributed as per the total population residing in that region, which I understand is K/ D.
Based on this, would K with the smallest number of residents not correspond to the decreased share of revenue?

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Re: Ditrama is a federation made up of three autonomous regions.  [#permalink]

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25 Feb 2018, 10:25
C and E are so closed, but C is still incorrect.
Test takers should not worry, but calmly read the argument and option choices carefully.
Intern
Joined: 19 Sep 2017
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Re: Ditrama is a federation made up of three autonomous regions.  [#permalink]

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16 Apr 2018, 20:17
terp26 wrote:
Last year the percentage of federal revenues Korva received for its share decreased somewhat even though the population survey on which the revenue-sharing was based showed that Korva's population had increased.

That’s where THE key is hidden that says one other region has greater population than Korva.
Should have looked. Marked wrong.
Re: Ditrama is a federation made up of three autonomous regions. &nbs [#permalink] 16 Apr 2018, 20:17

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