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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 ## If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ? ##### This topic has 5 expert replies and 0 member replies ### Top Member ## If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If y = 2 + 2K and y ≠ 0, then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) OA B Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12740 messages Followed by: 1247 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorDC wrote: If y = 2 + 2k and y ≠ 0, then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) Given: y = 2 + 2k Rewrite as: y/1 = (2 + 2k)/1 Flip both fractions to get: 1/y = 1/(2 + 2k) So, 1/y + 1/y + 1/y + 1/y = 1/(2 + 2k) + 1/(2 + 2k) + 1/(2 + 2k) + 1/(2 + 2k) = 4/(2 + 2k) = 4/(2)(1 + k) = 2/(1 + k) Answer: B 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 25 May 2010 Posted: 15195 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: If y = 2 + 2K and y ≠ 0, then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) Let k=0, implying that y = 2 + 2*0 = 2. Plugging y=2 into 1/y + 1/y + 1/y + 1/y, we get: 1/2 + 1/2 + 1/2 + 1/2 = 2. The correct answer must yield a value of 2 when k=0. Only B works: 2/(1+k) = 2/(1+0) = 2. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1434 messages Followed by: 32 members Upvotes: 59 BTGmoderatorDC wrote: If y = 2 + 2K and y ≠ 0, then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) Source: GMAT Prep $$\left. \matrix{ y = 2\left( {k + 1} \right) \hfill \cr ?\,\,:\,\,\,4\left( {{1 \over y}} \right) = {4 \over y}\,\, = f\left( k \right)\,\,\,\,\, \hfill \cr} \right\}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,? = {4 \over {2\left( {k + 1} \right)}} = {2 \over {k + 1}}$$ 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 Elite Legendary Member Joined 23 Jun 2013 Posted: 10109 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that Y = 2 + 2K and Y ≠ 0. We're asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. This question can be solved in a number of different ways, including by TESTing VALUES. Since we're adding four fractions with the SAME denominator, we can just use some basic Arithmetic and Algebra rules. To start, when adding fractions with the same denominator, we add the numerators. For example 1/5 + 1/5 + 1/5 = 3/5 Here, we're adding 1/Y + 1/Y + 1/Y + 1/Y, so we end up with 4/Y. We're told that Y = (2 + 2K). Substituting that value in, we get... 4/(2+2K) We can then simplify that fraction, giving us... 2/(1+K) Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2224 messages Followed by: 17 members Upvotes: 43 BTGmoderatorDC wrote: If y = 2 + 2K and y ≠ 0, then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) OA B Source: GMAT Prep Adding the given fractions we have: 4/y Since y = 2 + 2k, we have: 4/(2 + 2k) = 4/[2(1 + k)] = 2/(1 + k) Answer: B _________________ Scott Woodbury-Stewart Founder and CEO • FREE GMAT Exam Know how you'd score today for$0

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