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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 ## A large rectangular decorative panel of 45 meters (horizonta tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## A large rectangular decorative panel of 45 meters (horizonta ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 16) A large rectangular decorative panel of 45 meters (horizontal dimension) by 6 meters (vertical dimension) is to be completely divided into M identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters (1 meter = 100 centimeters), what is the minimum possible value of M? (A) 30 (B) 60 (C) 75 (D) 150 (E) 180 Answer: _____(A)___ _________________ 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 16) A large rectangular decorative panel of 45 meters (horizontal dimension) by 6 meters (vertical dimension) is to be completely divided into M identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters (1 meter = 100 centimeters), what is the minimum possible value of M? (A) 30 (B) 60 (C) 75 (D) 150 (E) 180 $${\rm{panel}}\,\,:\,\,\,4500\,{\rm{cm}}\,\, \times \,\,\,600\,{\rm{cm}}$$ $$M\,\,{\rm{squares}}\,\,{\rm{:}}\,\,\,k\,{\rm{cm}}\,\, \times \,\,\,k\,{\rm{cm}}\,\,\,{\rm{each}}\,\,\,\,\,\,\,\left( {k \ge 1\,\,{\mathop{\rm int}} } \right)$$ $${\rm{?}}\,\, = \,\,\,\min \left( M \right)$$ $$\left. \matrix{ {{4500} \over k} = {{{2^2} \cdot {3^2} \cdot {5^3}} \over k} = {{\mathop{\rm int}} _1}\,\,\,\,\left[ {\# \,\,{\rm{columns}}} \right]\,\, \hfill \cr {{600} \over k} = {{{2^3} \cdot 3 \cdot {5^2}} \over k} = {{\mathop{\rm int}} _2}\,\,\,\,\,\,\left[ {\# \,\,{\rm{rows}}} \right] \hfill \cr} \right\}\,\,\,\, \Rightarrow \,\,\,\,? = \min \left( {{{{\mathop{\rm int}} }_1} \cdot {{{\mathop{\rm int}} }_2}} \right)$$ $$?\,\,\,:\,\,\,k = GCF\left( {4500,600} \right) = {2^2} \cdot 3 \cdot {5^2}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left\{ \matrix{ \,{{\mathop{\rm int}} _1} = 3 \cdot 5 \hfill \cr \,{{\mathop{\rm int}} _2} = 2 \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 30$$ The correct answer is (A). 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 • FREE GMAT Exam Know how you'd score today for$0

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