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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 ## What is the value of DE/FG ? tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## What is the value of DE/FG ? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 17) What is the value of DE/FG ? (1) AB/AD = 5 (2) AD = FB 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 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 17) What is the value of DE/FG ? (1) AB/AD = 5 (2) AD = FB $$\Delta ADE\,\,\, \cong \,\,\,\Delta AFG\,\,\, \cong \,\,\,\Delta ABC$$ $$? = \frac{{DE}}{{FG}}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\boxed{\,\,?\,\, = \,\,\,\Delta ADE:\Delta AFG\,\,\,{\text{ratio}}\,\,{\text{of}}\,\,{\text{similarity}}\,\,{\text{ = }}\,\,\,\frac{{AD}}{{AF}}\,\,\left( { = \frac{{AE}}{{AG}}} \right)\,\,}$$ $$\left( 1 \right)\,\,\,{{AD} \over {AB}} = {1 \over 5}\,\,\,\,\left( * \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{INSUFF}}.\,\,\,\,\left( {{\rm{images}}} \right)$$ $$\left( 2 \right)\,\,AD = FB\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{INSUFF}}.\,\,\,\,\left( {{\rm{images}}} \right)$$ $$\left( {1 + 2} \right)\,\,\,\,? = {{AD} \over {AF}} = {{AD} \over {AB - BF}}\,\,\mathop = \limits^{\left( 2 \right)} \,\,{{AD} \over {AB - AD}}\,\,\mathop = \limits^{\left( * \right)} \,\,{k \over {5k - k}} = {1 \over 4}\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{SUFF}}.$$ 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 • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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