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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 k? tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 1 member reply ### GMAT/MBA Expert ## What is the value of k? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 15) What is the value of k? (1) x = 2 (2) y^2 = 3 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 15) What is the value of k? (1) x = 2 (2) y^2 = 3 $$? = k\,\,\,\left[ {{\rm{degrees}}} \right]$$ $$\left( {1 + 2} \right)\,\,\left\{ \matrix{ \,\Delta \,{\rm{below}}\,\,{\rm{unique}}\,\,\left( {{{30}^ \circ },{{60}^ \circ },{{90}^ \circ } + \,\,y\,\,{\rm{given}}} \right) \hfill \cr \,\Delta \,{\rm{big}}\,\,{\rm{unique}}\,\,\left( {{\rm{legs}}\,\,{\rm{known + Pythagoras}}} \right)\,\, \hfill \cr} \right.\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{30^ \circ } + {k^ \circ }\,\,{\rm{unique}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{SUFF}}.$$ 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 ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 1179 messages Followed by: 2 members Statement 1 x = 2 The value of x alone cannot provide the value of k because an increase or decrease in the value of y will definitely alter the value of , hence statement 1 is INSUFFICIENT. Statement 2 $$y^2=3$$ $$y=\sqrt{3}$$ $$y=\sqrt{2+1}$$ This doesn't provide us with the value of k, hence statement 2 is INSUFFICIENT. Combining statement 1 and 2 together. The other triangle at the top now have 2 sides of length=2 and one of its angle =30 deg each Hence k = 30 deg both statements are INSUFFICIENT. $$answer\ is\ Option\ C$$ • FREE GMAT Exam Know how you'd score today for$0

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