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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 ## In the equality above, A,B,C are positive integers. What is tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## In the equality above, A,B,C are positive integers. What is ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 1) Answer: ____(C)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 Top Reply fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 1) $$A,B,C\,\, \ge 1\,\,\,{\rm{ints}}\,\,\,\left( * \right)$$ $${{71} \over {11}} = A + {1 \over {B + {{\left( {C + 1} \right)}^{ - 1}}}}$$ $$? = 2A + 3B - 4C$$ $$\left. \matrix{ B + {1 \over {C + 1}}\,\,\mathop > \limits^{\left( * \right)} \,\,1\,\,\,\,\, \Rightarrow \,\,\,\,\,0 < \,{1 \over {B + {{\left( {C + 1} \right)}^{ - 1}}}} < 1\,\,\,\, \hfill \cr {{71} \over {11}} = {{66 + 5} \over {11}} = 6 + {5 \over {11}} \hfill \cr} \right\}\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,A = 6$$ $$\left. \matrix{ {5 \over {11}} = {1 \over {B + {{\left( {C + 1} \right)}^{ - 1}}}}\,\,\,\,\, \Rightarrow \,\,\,\,\,B + {1 \over {C + 1}}\,\, = {{11} \over 5}\,\,\, \hfill \cr C + 1\,\,\mathop > \limits^{\left( * \right)} \,\,1\,\,\,\, \Rightarrow \,\,\,\,\,0 < {1 \over {C + 1}} < 1 \hfill \cr {{11} \over 5} = {{10 + 1} \over 5} = 2 + {1 \over 5} \hfill \cr} \right\}\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,B = 2$$ $${1 \over 5} = {1 \over {C + 1}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,C = 4$$ $$? = 2\left( 6 \right) + 3\left( 2 \right) - 4\left( 4 \right) = 2$$ The correct answer is (C). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE 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 • FREE GMAT Exam Know how you'd score today for$0

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