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So, we want to divide this $100 into four integer amounts: w, x, y, z, where w < x < y < z, and we want to minimize the value of z In order to MINIMIZE the value of the z, we must MAXIMIZE the values of w, x, and y. Now let's [size=150]test the answer choices[/size] A. 25 In other words, z = 25 So, we have: w < x < y < 25 and all 4 values must add to 100 So, the greatest possible value of y is 24, the greatest possible value of x is 23, and the greatest possible value of w is 22 25 + 24 + 23 + 22 = 94. No good. We want the 4 values to add to 100. ELIMINATE A B. 26 In other words, z = 26 So, we have: w < x < y < 26 and all 4 values must add to 100 So, the greatest possible values of w, x and y are 23, 24, and 25 respectively. 26 + 25 + 24 + 23 = 98. Unfortunately the 4 values do NOT add to 100, so we can ELIMINATE B C. 27 In other words, z = 27 So, the greatest possible values of w, x and y are 24, 25, and 26 respectively. 27 + 26 + 25 + 24 = 102. In this case the sum is greater than 100, but that's okay. We can just make one of the values smaller. For example, the 4 values add to 100 when w, x, y and z equal 22, 25, 26, and 27 respectively Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: All assets in Karina's investment portfolio are divided between an IRA, 401k, and two separate taxable accounts. No two accounts have the same amount of money and all four have at least some money in them. If each account has a whole-number percent of Karina's money, what is the minimum percent of Karina's money that could be in the account with the largest balance? A. 25 B. 26 C. 27 D. 28 E. 29 OA C Source: Veritas Prep Say the four accounts are A, B, C and D. We know that the percentage values of investments are positive integers. Say the largest percentage values of the investments is for D; thus, with A, B and C being the minimum and distinct, A = 1%, B = 2% and C = 3%; thus D = 100 - 1 - 2 - 3 = 94%. However, 94% is an incorrect answer. The question asks the minimum percent of the money that could be in the account with the largest balance. To get the minimum percent, let's assume that A = B = C = D = 25% each; however, this is not possible since the values of A, B, C and D are not distinct. Say A < B < C < D; we have to get the minimum possible value of D. Median of A, B, C and D is 25%, which is the average of B and C. Thus, B = 24%, A = 23%, C = 26% and D = 27% (minimum possible value). The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Munich | GMAT Prep Courses Kuala Lumpur | LSAT Prep Courses DC | SAT Prep Classes Boston | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15359 messages Followed by: 1865 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: All assets in Karina's investment portfolio are divided between an IRA, 401k, and two separate taxable accounts. No two accounts have the same amount of money and all four have at least some money in them. If each account has a whole-number percent of Karina's money, what is the minimum percent of Karina's money that could be in the account with the largest balance? A. 25 B. 26 C. 27 D. 28 E. 29 To MINIMIZE the percent for the largest balance, MAXIMIZE the percents for the 3 smallest balances. We can PLUG IN THE ANSWERS, which represent the percent in the largest balance. When the correct answer is plugged in, the 4 percents will sum to 100%. Since the question stem asks for the smallest percent that could be in the largest balance, start with the smallest answer choice. A: 25%, implying the largest possible percents for the 3 smallest balances are 24, 23, and 22 Sum of the 4 percents = 25+24+23+22 = 94. The sum is too small. Eliminate A. B: 26%, implying the largest possible percents for the 3 smallest balances are 25, 24, and 23 Sum of the 4 percents = 26+25+24+23 = 98. The sum is too small. Eliminate B. C: 27%, implying the largest possible percents for the 3 smallest balances are 26, 25, and 24 Sum of the 4 percents = 27+26+25+24 = 102. Here, we can yield a sum of 100% by decreasing the value of the smallest percent from 24% to 22%: 27+26+25+22 = 100. Success! The correct answer is C. _________________ 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. • 5 Day FREE Trial Study Smarter, Not Harder 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 • Award-winning private GMAT tutoring Register now and save up to$200

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