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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## OG City X has a population 4 times tagged by: AbeNeedsAnswers ##### This topic has 3 expert replies and 0 member replies ## OG City X has a population 4 times ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? A) 1:8 B) 1:4 C) 2:1 D) 4:1 E) 8:1 E ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12435 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? A) 1:8 B) 1:4 C) 2:1 D) 4:1 E) 8:1 One approach is to assign some values that meet the given information City Y has a population twice as great as the population of City Z Let's say the population of City Z is 1 person This means the population of City Y is 2 people City X has a population 4 times as great as the population of City Y If the population of City Y is 2 people, then the population of City X is 8 people So, the ratio of the population of City X to the population of City Z = 8 to 1 Answer: E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1778 messages Followed by: 14 members Upvotes: 43 AbeNeedsAnswers wrote: City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? A) 1:8 B) 1:4 C) 2:1 D) 4:1 E) 8:1 We are given that City X has a population 4 times as great as the population of City Y and that City Y has a population twice as great as the population of City Z. If we let the population of City X = x, the population of city Y = y, and the population of city Z = z, we can create the following equations: x = 4y and y = 2z We need to determine the ratio of the population of City X to the population of City Z, or x/z. We see that: x = 4y x = 4(2z) z = 8z x/z = 8 Thus, the ratio is 8 : 1. Answer: E _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9949 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that City X has a population 4 TIMES as great as the population of City Y, which has a population TWICE as great as the population of City Z. We're asked for the ratio of the population of City X to the population of City Z. Based on the design of this question - and the design of the answer choices, we can get the correct answer without doing much math at all. To start, we know that the population of City X is 4 TIMES as great as that of City Y and City Y's population is GREATER than that of City Z. When comparing City X's population to City Z's, we know that City X's population has to be MORE than 4 TIMES greater than City Z's... and there's only one answer that would account for that type of difference.. Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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