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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 ## terminating decimal ##### This topic has 1 expert reply and 1 member reply ## terminating decimal If a, b, c, d and e are integers and p = 2^a * 3^b and q = 2^c * 3^d * 5^e , is P/Q a terminating decimal? (1) a > c (2) b > d OA B ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15257 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 jainrahul1985 wrote: If a, b, c, d and e are integers and p = 2^a * 3^b and q = 2^c * 3^d * 5^e , is P/Q a terminating decimal? (1) a > c (2) b > d OA B Dividing by a power of 2 results in a terminating decimal: 1/2 = .5 1/2Â² = .25 1/2Â³ = .125 etc. Dividing by a power of 5 results in a terminating decimal: 1/5 = .2 1/5Â² = .04 1/5Â³ = .008 etc. Dividing by a power of 3 results in a non-terminating decimal: 1/3 = .33333... 1/3Â² = .11111... 1/3Â³ = .037037037... Thus, we need to know whether (2^a * 3^b) / (2^c * 3^d * 5^e) will require dividing by a power of 3. If there are more 3's in the denominator than in the numerator, then (2^a * 3^b) / (2^c * 3^d * 5^e) will require dividing by a power of 3. Since the number of 3's depends on the sizes of the exponents, the question can be rephrased: Is b>d? Statement 1: a>c. No way to know whether b>d. Insufficient. Statement 2: b>d. Sufficient. 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. Legendary Member Joined 02 Jan 2010 Posted: 966 messages Followed by: 21 members Upvotes: 230 Also, its helpful to know that in a fraction (a/b) if b were to have any prime factor other than 2 or 5 it would be a non-terminating decimal. Here, any powers of 2 and 5 would give you a terminating decimal, we are only concerned about powers of 3. If you know b>d, the denominator would not have a 3, so we can say for sure for any values of a,c and e, the fraction would be a terminating fraction • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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