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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 ## Which of the following fractions is greater than 1/4? tagged by: AAPL ##### This topic has 4 expert replies and 1 member reply ### Top Member ## Which of the following fractions is greater than 1/4? Which of the following fractions is greater than 1/4? A. 12/50 B. 3/11 C. 2/9 D. 4/17 E. 6/24 The OA is B. Is there a quick and strategic approach to solve this question? Can any experts help, please? I try to solve as follows: A. 12/50 12.5/50 = 1/4 thus 12/50 < 1/4 B. 3/11 3/12 = 1/4 thus 3/11 > 1/4 C. 2/9 2/8 = 1/4 thus 2/9 < 1/4 D. 4/17 4/16 = 1/4 thus 4/17 < 1/4 E. 6/24 6/24 = 1/4 I think that it's a long way. ### GMAT/MBA Expert Senior | Next Rank: 100 Posts Joined 16 Dec 2014 Posted: 94 messages Followed by: 4 members Upvotes: 2 GMAT Score: 770 Top Reply AAPL wrote: Which of the following fractions is greater than 1/4? A. 12/50 B. 3/11 C. 2/9 D. 4/17 E. 6/24 The OA is B. Is there a quick and strategic approach to solve this question? Can any experts help, please? I try to solve as follows: A. 12/50 12.5/50 = 1/4 thus 12/50 < 1/4 B. 3/11 3/12 = 1/4 thus 3/11 > 1/4 C. 2/9 2/8 = 1/4 thus 2/9 < 1/4 D. 4/17 4/16 = 1/4 thus 4/17 < 1/4 E. 6/24 6/24 = 1/4 I think that it's a long way. Multiply each of the numerators by 4 and see if it is bigger than the denominator: A. 12/50: 12*4 = 48, 48 > 50 NO B. 3/11: 3*4 = 12, 12 > 11 YES C. 2/9: 2*4 = 8, 8 > 9 NO D. 4/17: 4*4 = 16, 16 > 17 NO E. 6/24: 6*4 = 24, 24 > 24 NO Once you get to B and find a YES you can stop. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12653 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Which of the following fractions is greater than 1/4? A. 12/50 B. 3/11 C. 2/9 D. 4/17 E. 6/24 A. 12/50 Notice that 12/48 = 1/4 So, 12/50 will be LESS THAN 1/4 Eliminate A B. 3/11 3/12 = 1/4 So, 3/11 will be GREATER THAN 1/4 Answer: B Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10071 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi AAPL, We're asked to find the fractions that is GREATER than 1/4. The 'math' behind this question can be done in a number of different ways - and you can use a Number Property pattern to save some time. It's worth noting that once you find the answer that is greater than 1/4, you can STOP working. For a fraction to equal 1/4, the denominator must be exactly 4 times the value of the numerator. For example 1/4, 2/8, 3/12, etc. are all exactly equal to 1/4. If you INCREASE the denominator, then the fraction becomes SMALLER. If you DECREASE the denominator, then the fraction becomes bigger. Thus, we're looking for a fraction in which the denominator is LESS than 4 times the value of the numerator. Answer A: 12/50... (12)(4) = 48..... 50 is greater than 48, so this fraction is LESS than 1/4 Answer B: 3/11... (3)(4) = 12.... 11 is SMALLER than 12, so this fraction is GREATER than 1/4 Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 AAPL wrote: Which of the following fractions is greater than 1/4? A. 12/50 B. 3/11 C. 2/9 D. 4/17 E. 6/24 We see that 1/4 is equivalent to 12/48, 3/12, 2/8, 4/16, and 6/24. We use the property that when we compare two fractions whose numerators are equal, the larger fraction has the smaller denominator. Thus, we see that 3/11 is greater than 3/12, and thus, 3/11 is greater than 1/4. Answer: B _________________ Jeffrey Miller Head of GMAT Instruction Newbie | Next Rank: 10 Posts Joined 08 Mar 2018 Posted: 1 messages I think more economical way is to take reciprocal of all the ratio and find which ratio is less than 4. advantage is we need not work out ...just intuition is enough ie, 50/12 >4, 9/2>4, 17/4>4,24/6>4,so the answer is 11/3 -> three point some thing.   • FREE GMAT Exam Know how you'd score today for$0

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