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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 units digit of positive integer p? tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## What is the units digit of positive integer p? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult What is the units digit of positive integer p? (1) When p is divided by 10, the remainder is 8. (2) When p is divided by 11, the remainder is 8. The OA is A. I don't understand why A is the correct answer. Is not possible that p equals 8 so 8 divided by 10 is 0 with remainder 8? So, in this case, we would have p = 8 or P =108 and thus Statement 1 would be insufficient. Can anyone help, please? Thanks! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10112 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi AAPL, We're told that P is an integer. We're asked for the UNITS DIGIT of P (re: the "ones digit"). This question can be solved by TESTing VALUES. 1) When P is divided by 10, the remainder is 8. IF.... P = 8, then 8/10 = 0 r 8 and the answer to the question is 8 P = 18, then 18/10 = 1 r 8 and the answer to the question is 8 P = 28, then 28/10 = 2 r 8 and the answer to the question is 8 Etc. Since the question asks for the UNITS DIGIT of P, the answer to the question will ALWAYS be 8. Fact 1 is SUFFICIENT (2) When P is divided by 11, the remainder is 8. IF.... P = 8, then 8/11 = 0 r 8 and the answer to the question is 8 P = 19, then 19/11 = 1 r 8 and the answer to the question is 9 Fact 2 is INSUFFICIENT Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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 • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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