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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 ## If b is greater than 1, which of the following must tagged by: Gmat_mission ##### This topic has 3 expert replies and 0 member replies ## If b is greater than 1, which of the following must If b is greater than 1, which of the following must be negative? A. (2 - b)(b - 1) B. (b - 1)/3b C. (1 - b)^2 D. (2 - b)/(1 - b) E. (1 - b^2)/b OA=E. How can I discard the rest of the options? Experts, can you give me some help? ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9949 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi Gmat_mission, We're told that B is greater than 1. We're asked which of the following MUST be negative (which really means "which of the following is ALWAYS NEGATIVE no matter how many different examples we can come up with"). This question can be solved by TESTing VALUES. IF... B=2, then Answer A = 0/1 = 0 Answer B = 1/6 Answer C = (-1)^2 = 1 Answer D = 0/-1 = 0 None of the first 4 answers is negative - and there's only one answer left... Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert Senior | Next Rank: 100 Posts Joined 16 Dec 2014 Posted: 94 messages Followed by: 4 members Upvotes: 2 GMAT Score: 770 Gmat_mission wrote: If b is greater than 1, which of the following must be negative? A. (2 - b)(b - 1) B. (b - 1)/3b C. (1 - b)^2 D. (2 - b)/(1 - b) E. (1 - b^2)/b OA=E. How can I discard the rest of the options? Experts, can you give me some help? Lets look at each answer: A. (2 - b)(b - 1): (+ or -)(+) --> answer can be + or - B. (b - 1)/3b: (+)/(+) --> answer is + C. (1 - b)^2 : square is never negative D. (2 - b)/(1 - b): (+ or -)/(-) --> answer can be + or - E. (1 - b^2)/b (-)/(+) --> answer is always negative as b^2 > 1! ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 Gmat_mission wrote: If b is greater than 1, which of the following must be negative? A. (2 - b)(b - 1) B. (b - 1)/3b C. (1 - b)^2 D. (2 - b)/(1 - b) E. (1 - b^2)/b Since b is greater than 1, (1 - b^2) will always be negative, and thus (1 - b^2)/b will always be negative. Answer: E _________________ Jeffrey Miller Head of GMAT Instruction • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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