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## IR Explained: Q34: Territorial Populations

###### August 27, 2012

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*This post is part of a series--IR Explained--that walks through the sample Integrated Reasoning questions provided in the latest edition of the GMAT Official Guide.*

The bar graph in this Graphics Interpretation question represents the change in population of three territories: A, B, and C. The introductory paragraph gives us the additional information that Nation X (of which the three territories are a part) saw its population increase from 17,000,000 to 22,500,000 over the same 20-year time period.

Question 34A asks you to compare the increase in population of Nation X to that of Territory C. As we've seen, the Nation's increase is 22,500,000 - 17,000,000 = 5,500,000.

C's increase is from roughly 2,900,000 to 4,600,000, or about 1,700,000. The question asks what percent 1.7 million is of 5.5 million, or 1.7/5.5. Since 1.7 is one-third of 5.1 (17 is one-third of 51), 1.7 is a bit less than one-third of 5.5. Of the choices, the correct answer is clearly **30** percent.

34B asks for another percentage: the portion of the nation's 2010 population represented by the three territories shown in the graph.

The territories have populations of roughly 7,300,000, 5,600,000, and 4,600,000, for a total of 17,500,000. The nation's population is 22,500,000. Thus, the answer is 17,500,000/22,500,000, or 175/225.

You can simplify the fraction by dividing top and bottom by 25, for 7/9. That's about 78%, so the correct answer is **between 70% and 80%**.

*Stay tuned (or subscribe) for more Integrated Reasoning explanations*

**About the author:** *Jeff Sackmann has written many
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1,800 practice GMAT math questions.*

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