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jaswanth_ss

VivekPrateek

pintukr
In 2010, Country X comprised about 10 percent of the world's gross domestic product (GDP), and its voting share in the World Bank was increased from less than 3 percent to 4.4 percent. During the same time frame, Country Y comprised about 4 percent of the world's GDP and saw its voting share in the World bank drop from 4.3 percent to 3.8 percent.

Which of the following can be logically concluded from the passage above?

A. Prior to 2010, Country X comprised less than 10 percent of the world's GDP.
B. Voting share in the World Bank was not directly proportional to each country's share of the world's GDP.
C. Country X's share in the world's GDP was increasing more rapidly than Country Y's share.
D. Country X's government was likely to be dissatisfied with the degree of the increase in its voting share.
E. World Bank voting shares were allocated based upon each country's share of the world's GDP during previous years, not during the present year.
OA is B
Country X -> 10% of the world's gross domestic product -> Voting Share increased from less than 3 percent to 4.4 percent.
Country Y -> 4% of the world's gross domestic product -> Voting Share dropped from less than 4.3 percent to 3.8 percent.

Let us find whether GDP is directly proportional to Voting share or not:
See the Voting share if 10% GDP = 4.4
1% GDP= 0.44
4% GDP = 0.44 *4 = 1.76 Voting share
But here it is 3.8 percent, so we can say that it is not directly proportional.

Let us start option elimination:

A. Prior to 2010, Country X comprised less than 10 percent of the world's GDP.
Here it is written that Country X comprised about 10 percent of the world's GDP, no where it is written what is before or after, so wrong.
B. Voting share in the World Bank was not directly proportional to each country's share of the world's GDP.
Exactly we proved this. so this is the ans.
C. Country X's share in the world's GDP was increasing more rapidly than Country Y's share.
We can't sure about whether it is increasing, constant or decreasing. so wrong.
D. Country X's government was likely to be dissatisfied with the degree of the increase in its voting share.
No where it is written, so out of scope.
E. World Bank voting shares were allocated based upon each country's share of the world's GDP during previous years, not during the present year.
Totally irrelevant, it is already told allocation is given on this year basis.
­VivekPrateek

Hey!
In your solution, we are looking at the ratios, right? Does directly proportional imply that the ratio of GDP to Vote Share % is constant?

From my understanding,

2 Quantities are directly proportional, if an increase in one quantity leads to an increase in other quantitiy irrespective of the ratio being constant.

Since, we don't know the share of GDPs for both the countries prior to 2010, I thought we cannot comment if vote share and share of GDP is directly proportional.

Experts, your views? b_sudharsan KarishmaB MartyMurray­
When two variables are directly proportional, they rise or fall together. If one variable goes up by 10%, the other will go up by the same 10%. Similarly, if one decreases by 10%, the other will also decrease by 10%. Where does your "understanding" that "2 Quantities are directly proportional, if an increase in one quantity leads to an increase in other quantitiy irrespective of the ratio being constant" spring from?
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Hi GMATNinja
it would be great if you could clarify here
i understand the relationship between GDP and voting share is positively co-related how could it be directly proportional?
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In 2010, Country X comprised about 10 percent of the world's gross domestic product (GDP), and its voting share in the World Bank was increased from less than 3 percent to 4.4 percent. During the same time frame, Country Y comprised about 4 percent of the world's GDP and saw its voting share in the World bank drop from 4.3 percent to 3.8 percent.

Which of the following can be logically concluded from the passage above?

The passage compares each country’s share of world GDP with its voting share in the World Bank. The key point is that the percentages do not match in any direct way.

Country X:
about 10 percent of world GDP, but only 4.4 percent voting share.

Country Y:
about 4 percent of world GDP, but 3.8 percent voting share.

So voting share is clearly not directly proportional to GDP share.

(A) Prior to 2010, Country X comprised less than 10 percent of the world's GDP.

We are told only what Country X’s GDP share was in 2010, not before 2010.

(B) Voting share in the World Bank was not directly proportional to each country's share of the world's GDP.

This is the best answer. If voting share were directly proportional to GDP share, then a country with 10 percent of world GDP would have about 10 percent voting share, not 4.4 percent.

(C) Country X's share in the world's GDP was increasing more rapidly than Country Y's share.

No trend over time is given for GDP share.

(D) Country X's government was likely to be dissatisfied with the degree of the increase in its voting share.

This is speculation about what the government felt.

(E) World Bank voting shares were allocated based upon each country's share of the world's GDP during previous years, not during the present year.

The passage gives no basis for this rule.

Answer: (B)
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