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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 99th digit after the decimal point in the ##### This topic has 2 expert replies and 1 member reply ### Top Member ## What is the 99th digit after the decimal point in the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11? A. 1 B. 2 C. 4 D. 7 E. 9 OA C Source: Manhattan GMAT ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1808 messages Followed by: 14 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11? A. 1 B. 2 C. 4 D. 7 E. 9 2/9 + 3/11 = 22/99 + 27/99 = 49/99 = 0.494949â€¦. SInce each odd-positioned digit to the right of the decimal point has a value of 4, the 99th digit is 4. Alternate Solution: We see that 2/9 = 0.222â€¦ and 3/11 = 0.272727â€¦ If we add the two decimal expressions, we see that we obtain 0.494949â€¦ Since all the odd-positioned digits to the right of the decimal point have a value of of 4, the 99th digit is 4. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 737 messages Followed by: 4 members Top Reply $$\frac{2}{9}=0.2222222...............2$$ $$\frac{3}{11}=0.27272727...............27$$ Addition (does not have carries) $$\frac{2}{9}+\frac{3}{11}=0.49494949..........49$$ Odd's have 4. 99th would have 4. Therefore, C is the correct answer. Regards! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1710 messages Followed by: 28 members Upvotes: 470 BTGmoderatorDC wrote: What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11? A. 1 B. 2 C. 4 D. 7 E. 9 OA C Source: Manhattan GMAT 2/9 = 0.2222...; we see that the 99th digit would be '2.' 3/11 = 0.2727...; we see that the digits at odd places are 2,' while that at even places are '7.' Since 99 is odd, the 99th digit would be '7.' Thus, the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11 = 2 + 2 = 4. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Himayatnagar | GMAT Prep Hyderabad | GRE Prep Bangalore | Chennai GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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