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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 someone able to solve this OG13 problem within 2 minutes? This topic has 5 expert replies and 4 member replies Is someone able to solve this OG13 problem within 2 minutes? This problem throws me off... The solution does not reveal a real trick on how to solve this problem fast. Would you, when you face such a problem, just guess and move on or really try to solve it? PS 218 OG13: List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, E, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If 1/3 of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S? I. -16 II. 6 III. 10 A) I B) I and II C) I and III D) II and III only E) I, II and III Or any good guessing technique? Thanks, Kevin Master | Next Rank: 500 Posts Joined 23 Jan 2009 Posted: 131 messages Followed by: 15 members Upvotes: 59 Kevin, This is a pretty tough problem, and I would probably let it go if I was under time pressure. On the GMAT it is equally important to be able to identify problems that are time suckers, like this one. Can someone do it in 2 minutes? I am sure but the percentage of people completing it in 2 minutes would be pretty small. Generally, the hardest problems on the GMAT take around 3 to 4 minutes, and this is provided your approach in the first attempt was correct, if one went the wrong route then these problems can really jeopardize your timing. In these types of problems, if I am making good progress in the first 2 minutes or so, then I will go ahead and finish it even if it takes 4 minutes or so. Also, I would need to squeeze time from the easier/medium problems, and I will try to do several in 30 to 45 seconds, this is really the only way to score really high on the quant. Here is a video explanation on how I approached it when I attempted it the first time: http://www.gmatquantum.com/og13/218-problem-solving-official-guide-gmat-13th-edition.html Cheers, Dabral _________________ Free Video Explanations: 2018 OFFICIAL GUIDE FOR GMAT REVIEW. GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15309 messages Followed by: 1863 members Upvotes: 13060 GMAT Score: 790 Kevinst wrote: This problem throws me off... The solution does not reveal a real trick on how to solve this problem fast. Would you, when you face such a problem, just guess and move on or really try to solve it? PS 218 OG13: List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, E, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If 1/3 of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S? I. -16 II. 6 III. 10 A) I B) I and II C) I and III D) II and III only E) I, II and III Or any good guessing technique? Thanks, Kevin Make the problem CONCRETE by plugging in easy values. 10 of the values must have a tenths digit that is EVEN, while the other 20 values must have a tenths digit that is ODD. To make the math easy, let's not consider decimals beyond the tenths place. Try to MAXIMIZE E-S and MINIMIZE E-S. E-S MAXIMIZED: To MAXIMIZE the value of E-S, we must MINIMIZE the value of S. To minimize S, we must ROUND UP the even decimals as MUCH as possible (from .2 to the next highest integer) and ROUND DOWN the odd decimals as LITTLE as possible (from .1 to the next smallest integer). Let S = 10(.2) + 20(.1) = 4. In E, .2 is rounded up to 1 and .1 is rounded down to 0: E = 10(1) + 20(0) = 10. Thus, the MAXIMUM possible value of E-S = 10-4 = 6. E-S MINIMIZED: To MINIMIZE the value of E-S, we must MAXIMIZE the value of S. To maximize S, we must ROUND UP the even decimals as LITTLE as possible (from .8 to the next highest integer) and ROUND DOWN the odd decimals as MUCH as possible (from .9 to the next smallest integer). Let S = 10(.8) + 20(.9) = 26. In E, .8 is rounded up to 1 and .9 is rounded down to 0: E = 10(1) + 20(0) = 10. Thus, the MINIMUM possible value of E-S = 10-26 = -16.. Since the MAXIMUM difference is 6 and the MINIMUM difference is -16, only I and II are possible values of E-S. The correct answer is B. _________________ 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 Nov 2015 Posted: 137 messages Followed by: 2 members Upvotes: 1 What about 10 Brent? it might be in the middle between the maximum and minimum... why did we not consider it? Thanks GMATGuruNY wrote: Kevinst wrote: This problem throws me off... The solution does not reveal a real trick on how to solve this problem fast. Would you, when you face such a problem, just guess and move on or really try to solve it? PS 218 OG13: List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, E, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If 1/3 of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S? I. -16 II. 6 III. 10 A) I B) I and II C) I and III D) II and III only E) I, II and III Or any good guessing technique? Thanks, Kevin Make the problem CONCRETE by plugging in easy values. 10 of the values must have a tenths digit that is EVEN, while the other 20 values must have a tenths digit that is ODD. To make the math easy, let's not consider decimals beyond the tenths place. Try to MAXIMIZE E-S and MINIMIZE E-S. E-S MAXIMIZED: To MAXIMIZE the value of E-S, we must MINIMIZE the value of S. To minimize S, we must ROUND UP the even decimals as MUCH as possible (from .2 to the next highest integer) and ROUND DOWN the odd decimals as LITTLE as possible (from .1 to the next smallest integer). Let S = 10(.2) + 20(.1) = 4. In E, .2 is rounded up to 1 and .1 is rounded down to 0: E = 10(1) + 20(0) = 10. Thus, the MAXIMUM possible value of E-S = 10-4 = 6. E-S MINIMIZED: To MINIMIZE the value of E-S, we must MAXIMIZE the value of S. To maximize S, we must ROUND UP the even decimals as LITTLE as possible (from .8 to the next highest integer) and ROUND DOWN the odd decimals as MUCH as possible (from .9 to the next smallest integer). Let S = 10(.8) + 20(.9) = 26. In E, .8 is rounded up to 1 and .9 is rounded down to 0: E = 10(1) + 20(0) = 10. Thus, the MINIMUM possible value of E-S = 10-26 = -16.. Since the MAXIMUM difference is 6 and the MINIMUM difference is -16, only I and II are possible values of E-S. The correct answer is B. Top Member Legendary Member Joined 03 Feb 2014 Posted: 2073 messages Followed by: 133 members Upvotes: 955 GMAT Score: 800 Amrabdelnaby wrote: What about 10 Brent? it might be in the middle between the maximum and minimum... why did we not consider it? The minimum is -16. The maximum is 6. The range of possible values is therefore -16 â‰¤ E - S â‰¤ 6. 10 > 6, and so 10 is above the maximum and therefore is not a possible value of E - S. _________________ Marty Murray GMAT Coach m.w.murray@hotmail.com https://infinitemindprep.com/ In Person in the New York Area and Online Worldwide 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 Where we are getting that the maximum is 6? Suppose that my set consists of ten 1.01s and twenty 1.1s. E = 10*2 + 20*1 S = 10*1.01 + 20*1.1 E - S = 7.9 0 is an even digit, so we have E - S < 8, not < 6. 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 04 Dec 2012 Posted: 2069 messages Followed by: 238 members Upvotes: 1443 Kevinst wrote: This problem throws me off... The solution does not reveal a real trick on how to solve this problem fast. Would you, when you face such a problem, just guess and move on or really try to solve it? PS 218 OG13: List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, E, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If 1/3 of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S? I. -16 II. 6 III. 10 A) I B) I and II C) I and III D) II and III only E) I, II and III Or any good guessing technique? Thanks, Kevin Mitch gives a good explanation, but to answer your real question... yes, I'd probably skip this one, unless I was ahead on time. I would advise any of my students who wasn't already scoring in the 740+ range to skip this one, too. In fact, this is the example problem that I always show when students ask "how do I know which ones to skip?" My answer: "if you have to read a long paragraph of text 3 times to really figure out what it's asking, skip it!" Most people will simply not have time to answer every question on the quant section. Unless you're already scoring around a 780 and you feel like you need that perfect 800, it doesn't make strategic sense to answer every question. The smart strategic decision is to skip the tough, time-consuming ones, and invest that time into questions that you're more likely to get right. _________________ 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. Newbie | Next Rank: 10 Posts Joined 25 May 2017 Posted: 5 messages This is a really helpful post for me because I often feel like fighting on since I've already invested time. If you've already spent over a minute on a question, what do you use decide to skip the question, ceilidh.erickson or other experts? I find myself overcommiting too often. GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 2069 messages Followed by: 238 members Upvotes: 1443 DatsunB210 wrote: This is a really helpful post for me because I often feel like fighting on since I've already invested time. If you've already spent over a minute on a question, what do you use decide to skip the question, ceilidh.erickson or other experts? I find myself overcommiting too often. For every single question, here should be your process: 1) read (pen down) & think about it for 20-30 sec. 2) ask yourself: how sure are you that you have a plan? Completely sure, maybe-kinda sure, or not at all sure? 3) If completely sure, start solving. Check yourself after a minute and see if you're still on track. If not, guess and move on. 4) If maybe-kinda sure, look at the clock. If you're ahead of time, dive in. If you're behind, guess and move on. 5) If you're not at all sure, guess and move on before even touching pen to paper (or yellow laminated pad). Beware of the sunk cost fallacy! Just because you've spent time on a problem, that doesn't necessarily mean you're closer to getting it right. It's hard to let go, but just tell yourself - "spending time on this one that I'm not getting is stealing time away from problems I could more easily get." _________________ 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. 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 DatsunB210 wrote: This is a really helpful post for me because I often feel like fighting on since I've already invested time. If you've already spent over a minute on a question, what do you use decide to skip the question, ceilidh.erickson or other experts? I find myself overcommiting too often. It really depends how engaged you feel with the problem: is your mind zeroing in on the answer, or are you drifting off into anxiety, daydreams, or confusion? I find that if I'm engaged, the answer often comes to me five seconds AFTER I've finally told myself "just give up" - it's uncanny. Knowing your weaknesses and punting those questions helps a lot too. When I was practicing competitive math tests when I was younger, I found that geometry was by far my weakest point. (It still lags way behind all other math topics for me, I'm just not a visual thinker.) Whenever I took one of those tests, I did all the non-geometry questions first, then doubled back to the geometry at the very end. Had those been CATs like the GMAT, I would've probably let a lot of the geometry questions go or treated them with extreme prejudice. 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! • Award-winning private GMAT tutoring Register now and save up to$200

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