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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 ## If m and n are positive integers, is m/n a terminating decim tagged by: Max@Math Revolution ##### This topic has 1 expert reply and 1 member reply ### GMAT/MBA Expert ## If m and n are positive integers, is m/n a terminating decim ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] If m and n are positive integers, is m/n a terminating decimal? 1) m is divisible by 9 2) n is divisible by 30 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

Since we have 2 variables (x and y) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first. After comparing the number of variables and the number of equations, we can save time by considering conditions 1) & 2) together first.

Conditions 1) & 2)

If m = 9 and n = 30, then m/n = 9 / 30 = 3/10 = 0.3 is a terminating decimal and the answer is ‘yes’.
If m = 9 and n = 210, then m/n = 9 / 210 = 3/70 is not a terminating decimal since the denominator, 70, has a prime factor other than 2 and 5. The answer is ‘no’.
Both conditions together are not sufficient, since they don’t yield a unique solution.

Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.

_________________ Math Revolution
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Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 1171 messages Followed by: 2 members A terminating decimal has a finite decimal. Statement 1 m is divisible by 9 means that m is a multiple of 9 but values of n is not known, hence statement 1 is INSUFFICIENT. Statement 2 n is divisible by 30 but the value of n is not known, hence statement 2 is INSUFFICIENT. Combining statement 1 and 2 together. m is a multiple of 9 n is a multiple of 30 If m = 9 and n = 30 $$\frac{m}{n}=\frac{9}{30}=0.3$$ if m = 18 and n = 60 $$\frac{m}{n}=\frac{18}{60}=0.3$$ If m = 9 and n = 6 $$\frac{m}{n}=\frac{9}{60}=0.15$$ If m = 18 and n = 30 $$\frac{m}{n}=\frac{18}{30}=0.6$$ Therefore m/n is a terminating decimal, statement 1 and 2 together are SUFFICIENT. $$answer\ is\ Option\ C$$ • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE 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 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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