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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 ## In a certain company, 25% of the women and 17% of the men tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## In a certain company, 25% of the women and 17% of the men ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Magoosh In a certain company, 25% of the women and 17% of the men participate in the voluntary equity program. Let M be the number of male employees. If there are 600 employees total, what is the value of M? 1) M > 100 2) More than 130 employees participate in the voluntary equity program. OA C ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9955 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi All, This question involves some subtle Number Property rules that you have to consider to get the correct answer. Those rules, along with TESTing VALUES, can help you to quickly answer the question... We're told that 25% of the women and 17% of the men participate in the voluntary equity program. This means that 1/4 of the women participate in the program, which means that the total number of women MUST be a multiple of 4 (you can't have a 'fraction' of a woman, so no other possibilities exist). With 17% of men though, we have an interesting 'limitation': the only way to get an integer number of men is when we multiply by a multiple of 100, so the total number of men MUST be a multiple of 100. These deductions will help you to work through the two Facts much faster.... We're also told that there are 600 TOTAL employees. We're asked for the number of male employees. 1) The number of male employee is > 100 IF.... Males = 200 (a multiple of 100) Females = 400 (a multiple of 4) The answer to the question is 200 IF.... Males = 300 (a multiple of 100) Females = 300 (a multiple of 4) The answer to the question is 300 Fact 1 is INSUFFICIENT 2) More than 130 employees participate in the voluntary equity program IF.... Males = 200 (a multiple of 100) Females = 400 (a multiple of 4) .17(200) + .25(400) = 34 + 100 = 134 The answer to the question is 200 IF.... Males = 100 (a multiple of 100) Females = 500 (a multiple of 4) .17(100) + .25(500) = 17 + 125 = 142 The answer to the question is 100 Fact 2 is INSUFFICIENT Combined, we know.... -The number of males is > 100 -More than 130 employees participate in the voluntary equity program From our prior work, we can take advantage of a pattern.... Total males COULD be 200, but CANNOT be 100 IF.... Males = 300 (a multiple of 100) Females = 300 (a multiple of 4) .17(300) + .25(300) = 126 which does NOT fit the given 'restrictions' Thus, the total number of males CANNOT be 300 or greater. The only answer that "fits" is Males = 200 Combined, SUFFICIENT Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1621 messages Followed by: 27 members Upvotes: 470 AAPL wrote: Magoosh In a certain company, 25% of the women and 17% of the men participate in the voluntary equity program. Let M be the number of male employees. If there are 600 employees total, what is the value of M? 1) M > 100 2) More than 130 employees participate in the voluntary equity program. OA C Given there are M numbers of male employees, we have (600 - M) numbers of female employees. Thus, total number of employees who participated in the program = 17% of M + 25% of (600 - M) = 0.17M + 150 - 0.25M = 150 - 0.08M We have to get the value of M. Let's take each statement one by one. 1) M > 100 Certainly insufficient. M can have many qualified values. 2) More than 130 employees participate in the voluntary equity program. => 150 - 0.08M > 130 20 > 0.08M M < 250 We must not reject Statement 2 the way we rejected Statement 1. In Statement 1, we had no limit for the values of M; however, with Statement 2 (M < 250), we have a limited number of values of M. Let's check if there is only one qualified value for M. Note that we are given that 17% of men participated in the program, thus, 17% of M must be a positive integer. Since 17% of M = 17M/100 and 17 and 100 are co-prime, M must be a multiple of 100. With M < 250, we have M = 100 or 200. No unique value of M. Insufficient. (1) and (2) together From both the statements, we have 100 < M < 250. Keeping the constraint that 17% of men participated in the program, thus, 17% of M must be a positive integer, we have only one eligible value of M, i.e. M = 200. However, we must see another constraint that 25% of women participated in the program, thus, (600 - 25% of M) must be a positive integer. We see that 25% of M = 25% of 200 = 50, a positive integer. Thus, we have a unique answer, M = 200. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | Begumpet GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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