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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 the tens digit of a two digit integer k divisible by 3? ##### This topic has 1 expert reply and 1 member reply ### Top Member ## Is the tens digit of a two digit integer k divisible by 3? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Is the tens digit of a two digit integer k divisible by 3? (1) k-5 is a multiple of 3 (2) k-11 is a multiple of 3 OA E Source: Manhattan GMAT ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 786 messages Followed by: 1 members Top Reply Question = Is the tens digit of a two digit integer K divisible by 3? Statement 1 : K - 5 = Multiple of 3 If K = 20 20 - 5 = 15 However, 15 is a multiple of 3 the tens digit of K is 2 which is not divisible by 3. Hence, statement 1 is NOT SUFFICIENT. Statement 2 : K - 11 = Multiple of 3 If K = 53 53 - 11 = 42 However, 42 is a multiple of 3, the tens digit of K here is 5 which is not divisible by 3. Hence, Statement 2 is NOT SUFFICIENT. Giving that statement 1 and 2 are the same, combining them together would = NOT SUFFICIENT. Option E is the correct answer. ### GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1996 messages Followed by: 237 members Upvotes: 1443 Top Reply BTGmoderatorDC wrote: Is the tens digit of a two digit integer k divisible by 3? (1) k-5 is a multiple of 3 (2) k-11 is a multiple of 3 OA E Source: Manhattan GMAT Rephrased question: is the tens digit of k a 3, 6, or 9? Test values with the statement to try to prove insufficiency: (1) k - 5 is a multiple of 3 This tells us that k is 5 more than some multiple of 3. Test some 2-digit multiples of 3: Case 1: 3x = 27 --> k = 32. Is the tens digit a multiple of 3? Yes. Case 1: 3x = 42 --> k = 47. Is the tens digit a multiple of 3? No. Insufficient. (2) k - 11 is a multiple of 3 This tells us that k is 11 more than some multiple of 3. Test some 2-digit multiples of 3: Case 1: 3x = 27 --> k = 38. Is the tens digit a multiple of 3? Yes. Case 1: 3x = 42 --> k = 53. Is the tens digit a multiple of 3? No. Insufficient. (1) & (2) Together k is a number that is 5 more than some multiple of 3, and also 11 more than a multiple of 3. But since 5 and 11 are 6 apart, any given number that's 5 more than a multiple of 3 will also be 11 more than some other multiple of 3: 38: 5 more than 33, 11 more than 27 53: 5 more than 48, 11 more than 42. Since we can come up with a value for k in the 30s and one in the 50s that fit both statements, we don't have enough to answer the question. The answer is E. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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