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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 ## The arithmetic mean of the 5 consecutive integers... ##### This topic has 4 expert replies and 2 member replies ## The arithmetic mean of the 5 consecutive integers... The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2? A 2 + s + a B 22 + a C 2s D 2a + 2 E 4 + a OA: E Newbie | Next Rank: 10 Posts Joined 07 May 2016 Posted: 3 messages the answer should be 4+a ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15316 messages Followed by: 1863 members Upvotes: 13060 GMAT Score: 790 Musicat wrote: The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2? A 2 + s + a B 22 + a C 2s D 2a + 2 E 4 + a Consecutive integers constitute an EVENLY SPACED SET. For any evenly spaced set, AVERAGE = MEDIAN. The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. Let s=1, implying that the 5 consecutive integers are as follows: 1, 2, 3, 4, 5. Here, a = average = median = 3. What is the arithmetic mean of 9 consecutive integers that start with s + 2? Since s+2 = 1+2 = 3, the 9 consecutive integers starting with s+2 are as follows: 3, 4, 5, 6, 7, 8, 9, 10, 11. Here, average = median = 7. This is our target. Now plug s=1 and a=3 into the answers to see which yields our target value of 7. Only E works: 4 + a = 4 + 3 = 7. The correct answer is E. _________________ 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. Master | Next Rank: 500 Posts Joined 13 Mar 2015 Posted: 410 messages Followed by: 7 members Upvotes: 120 GMAT Score: 770 Musicat wrote: The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2? A 2 + s + a B 22 + a C 2s D 2a + 2 E 4 + a OA: E 5 consecutive integres - {s,s + 1, s + 2, s + 3, s + 4} Arithmetic mean = (5s + 10)/5 = s + 2 = a Hence s = a - 2 9 consecutive integers - { s + 2, s + 3, s + 4, s + 5, s + 6, s + 7, s + 8, s + 9, s + 10} Arithmetic mean = (9s + 54)/9 = s + 6 Putting the value of s, Mean = a - 2 + 6 = a + 4 Correct Option: E ### GMAT/MBA Expert GMAT Instructor Joined 12 Sep 2012 Posted: 2635 messages Followed by: 116 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Option 1: Pick numbers. Suppose s = 1. The five integers are 1 -> 5, and the mean is 3. s + 2 = 3, and the 9 integers are 3 through 11. Their mean is 7, or 4 + a. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert GMAT Instructor Joined 12 Sep 2012 Posted: 2635 messages Followed by: 116 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Option 2: Use algebra. Our first set is {s, s+1, s+2, s+3, s+4}, so the mean is s + 2. Our second set is {s+2, s+3, ..., s+10}. Since the set is evenly spaced, the mean and the median are the same. The median is s + 6, or (s + 2) + 4, or a + 4. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2653 messages Followed by: 18 members Upvotes: 43 Musicat wrote: The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2? A 2 + s + a B 22 + a C 2s D 2a + 2 E 4 + a OA: E that the mean and median of any number of consecutive integers are equal). For the 9 consecutive integers that start with (s + 2), the median (or mean) is s + 2 + 4 = s + 6. Since a = s + 2, then s + 6 = s + 2 + 4 = a + 4. So (a + 4) is the mean of the consecutive integers that start with (s + 2). Answer: E • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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