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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 ## A department manager distributed a number of pens, pencils, ##### This topic has 3 expert replies and 0 member replies ### Top Member ## A department manager distributed a number of pens, pencils, ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. OA E Source: Official Guide ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15348 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. Statement 1: The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. Since 2+3+4 = 9, the total number of pens + pencils + pads must be a multiple of 9. No way to determine the exact number of staff members. INSUFFICIENT. Statement 2: The manager distributed a total of 18 pens, 27 pencils, and 36 pads. The given values are divisible both by 3 and by 9. Thus: There could be 3 staff members, each receiving 6 pens, 9 pencils, and 12 pads. There could be 9 staff members, each receiving 2 pens, 3 pencils, and 4 pads. Since the number of staff members could be 3 or 9, INSUFFICIENT. Statements 1 and 2 combined: In statement 2, pens:pencils:pads = 18:27:36 = 2:3:4, the same ratio given in statement 1. Thus, statement 1 offers no information beyond what is given in statement 2: There could be 3 staff members, each receiving 6 pens, 9 pencils, and 12 pads. There could be 9 staff members, each receiving 2 pens, 3 pencils, and 4 pads. Since the number of staff members could be 3 or 9, INSUFFICIENT. The correct answer is E. _________________ 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. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12982 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply Jay's solution is great. I just wanted to mention that this question hinges largely on the fact that the number of pens, pencils, and pads that each staff member receives MUST HAVE INTEGER VALUES. So, for example, if statement 1 were different and statement 2 read "The manager distributed a total of 11 pens, 2 pencils, and 13 pads," then we could be certain that there must be only 1 staff member, since there's no other way for each staff member to receive the same number of items. So, in this case, statement 2 would be sufficient on its own. Conversely, if statement 1 were different and statement 2 read "The manager distributed a total of 10 pens, 12 pencils, and 14 pads," then we could NOT be certain of the number of staff members. In this instance, there could be 1 staff member or 2 staff members, so statement 2 would be insufficient on its own. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1975 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2 : 3 : 4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. OA E Source: Official Guide We have to find out the number of staff members in the department. Let's take each statement one by one. (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2 : 3 : 4, respectively. Say the common ratio is m, thus each staff member received 2m pens, 3m pencils and 4m pads. Or, x = 2m, y = 3m and z = 4m. Can't get the number of staff members in the department. Insufficient. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. Number of staff = 18/x = 27/y = 36/z. Can't get the number of staff members in the department. Insufficient. (1) and (2) together Number of staff = 18/x = 18/2m = 9/m; 27/y = 27/3m = 9/m; 36/z = 36/4m = 9/m. Obviously, from each computation, we get the number of staff = 9/m. Since m and the number of staff are positive numbers, the possible values of m are 1, 3, and 9; thus, the possible values of the number of staff are 9, 3 and 9. No unique answer. Insufficient. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Vijayawada | GMAT Prep Mumbai | GRE Prep New Delhi | Malleswaram GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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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