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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 average (arithmetic mean) of a list of tagged by: M7MBA ##### This topic has 1 expert reply and 0 member replies ## What is the average (arithmetic mean) of a list of What is the average (arithmetic mean) of a list of 6 consecutive two-digit integers? (1) The remainder when the fourth integer is divided by 5 is 3. (2) The ratio of the largest integer to the smallest integer is 5:4. The OA is the option B . Experts, may you show me what is the best approach to solve this DS question? I am confused about the ratio. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1610 messages Followed by: 27 members Upvotes: 470 Top Reply M7MBA wrote: What is the average (arithmetic mean) of a list of 6 consecutive two-digit integers? (1) The remainder when the fourth integer is divided by 5 is 3. (2) The ratio of the largest integer to the smallest integer is 5:4. The OA is the option B . Experts, may you show me what is the best approach to solve this DS question? I am confused about the ratio. We have to find out the average (arithmetic mean) of a list of 6 consecutive two-digit integers. Let's take each statement one by one. (1) The remainder when the fourth integer is divided by 5 is 3. Case 1: Say the 6 consecutive two-digit integers are 20, 21, 22, 23, 24, and 25. The average = 22.5. Case 2: Say the 6 consecutive two-digit integers are 30, 31, 32, 33, 34, and 35. The average = 32.5. No unique answer. Insufficient. (2) The ratio of the largest integer to the smallest integer is 5 : 4. Say the largest integer = 5k and the smallest is 4k, thus 5k - 4k = k. The value of k must be 5 since there 6 consecutive integers. Thus, the smallest integer = 4k = 5*4 = 20. Thus, the 6 consecutive two-digit integers are 20, 21, 22, 23, 24, and 25. And the average = 22.5. Sufficient. The correct answer: B Hope this helps! _________________ Manhattan Review GMAT Prep Locations: New York | Jakarta | Nanjing | Berlin | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free 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 • Free Trial & Practice Exam 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 • Award-winning private GMAT tutoring Register now and save up to$200

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