Official Guide Explanation:
Data Sufficiency #38




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Solution and Metadata

Question: 38
Page: 276
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Ratio and Proportion >

Explanation: The ratios of populations to numbers of representatives are given as follows:

((p1)/(r1)) and ((p2)/(r2))

We need to determine which is bigger.

Statement (1) is insufficient. The population of district 1 is bigger, but we can't compare ratios without knowing something about the numbers of representatives.

Statement (2) is also insufficient. This time we learn that district 2 has more representatives, but we can't compare ratios without information on populations.

Taken together, the statements are sufficient. District 1 has a larger population (the numerator of the fraction) and a smaller number of representations (the denominator of the fraction). Thus, that fraction/ratio must be larger than that of District 2, with the smaller numerator and larger denominator. Choice (C) is correct.

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