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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 ## Which of the following options correctly describes tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Which of the following options correctly describes ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Given that a = -0.283 b = a^2 c = a^3 d = a^4 Which of the following options correctly describes the relationship between the 4 numbers? A. a < b < c < d B. a < c < d < b C. c < a < d < b D. a < c < b < d E. d < c < b < a The OA is B. For convenience, consider a = -0.3, Hence, a = -0.3 b = 0.09 c = -0.027 d = 0.0081 So, we can say a < c < d < d. Option B. Please, can anyone explain another way to solve this PS question? Thanks! ### GMAT/MBA Expert Junior | Next Rank: 30 Posts Joined 12 Mar 2018 Posted: 23 messages Sure. All you need to understand is that the number is negative and it's a fraction between 0 and 1. There are rules. Square a negative number and the result is a positive number so b and d will both be positive while a and c are negative. (Even exponents always result in positive numbers). So with b and d, the following rule applies: when you multiply a positive fraction by a positive fraction, the result is a lesser number. So since d is equal to b x b, d is less than b. Similarly, when you multiply a negative fraction by a negative fraction an odd number of times, the result is a greater number, so since c = a x a x a, c will be greater than a. Therefore, the order is a < c < d < b. Substituting any negative fraction such as -1/2 or the previously suggested -0.3 should make it clear. _________________ Jake Schiff GMAT Instructor and Master Trainer Curious How Youâ€™ll Score? Take a FREE GMATÂ® practice test or sample class Ready to Prep? Exclusive discounts for Beat The GMATÂ® members HERE Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Given that a = -0.283 b = a^2 c = a^3 d = a^4 Which of the following options correctly describes the relationship between the 4 numbers? A. a < b < c < d B. a < c < d < b C. c < a < d < b D. a < c < b < d E. d < c < b < a Since a is a number between -1 and 0, we can replace -0.283 with any similar number such as = -1/2. So we have: a = -1/2 b = 1/4 c = -1/8 d = 1/16 Thus, a < c < d < b, Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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