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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 ## Is p + pz = p? ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Is p + pz = p? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Is p + pz = p? (1) p = 0 (2) z = 0 OA D Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1273 messages Followed by: 29 members Upvotes: 59 Top Reply BTGmoderatorDC wrote: Is p + pz = p? (1) p = 0 (2) z = 0 Source: GMAT Prep $?\,\,\,:\,\,\,\,p\left( {1 + z} \right)\,\,\mathop = \limits^? \,\,p$ $\left( 1 \right)\,\,\,p = 0\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\text{YES}}} \right\rangle$ $\left( 2 \right)\,\,\,z = 0\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\text{YES}}} \right\rangle$ This solution follows 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 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12649 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 Top Reply BTGmoderatorDC wrote: Is p + pz = p? (1) p = 0 (2) z = 0 Target question: Is p + pz = p? This is a great candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100 Take Is p + pz = p? and subtract p from both sides to get: Is pz = 0? In order for pz to equal 0, it must be the case that either p = 0 or z = 0 (or they both equal 0) REPHRASED target question: Does either p or z equal 0? Statement 1: p = 0 In this case, the answer to the REPHRASED target question is YES, either p or z DOES equal 0 Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT Statement 2: z = 0 This also answers our REPHRASED target question perfectly. Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1756 messages Followed by: 28 members Upvotes: 470 BTGmoderatorDC wrote: Is p + pz = p? (1) p = 0 (2) z = 0 OA D Source: GMAT Prep Let's take each statement one by one. (1) p = 0 We have p + pz = p; at p = 0, we have 0 + 0*z = 0 => 0 = 0. Sufficient. Irrespective of the value of z, at p = 0, p + pz = p. (2) z = 0 We have p + pz = p; z = 0, we have p + p*0 = p => p = p. Sufficient. Irrespective of the value of p, at z = 0, p + pz = p. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Raleigh NC | GRE Prep Course Singapore | GRE Prep Philadelphia | SAT Prep Classes Toronto | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 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 Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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