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# Jim Broke’s only source of income comes from his job as a qu

Author Message
TAGS:
Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 563
Location: United Kingdom
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 21

Kudos [?]: 991 [0], given: 217

Jim Broke’s only source of income comes from his job as a qu [#permalink]  20 Nov 2011, 04:44
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Difficulty:

95% (hard)

Question Stats:

56% (03:46) correct 44% (03:22) wrong based on 78 sessions
Jim Broke’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of$9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years?

(A) $22,474 (B)$25,673
(C) $27,318 (D)$28,423
(E) $31,227 [Reveal] Spoiler: Ok - as the OA is not provided for this questions this is how I tried to solve it, but got stuck and didn't complete. Regular year has 52 weeks, so total number of weeks = 260 Total week's that Jim takes off = 10 Total number of weeks he worked = 250 Let's say Jim wrote 21 questions per year, so in total he wrote = 105 questions. Therefore, income from questions = 105 * 9 = 945 Normal income = 200 * 250 = 50, 000 I am struggling to solve after this. Can someone please help? [Reveal] Spoiler: OA _________________ Best Regards, E. MGMAT 1 --> 530 MGMAT 2--> 640 MGMAT 3 ---> 610 GMAT ==> 730 Manager Joined: 29 Oct 2011 Posts: 188 Concentration: General Management, Technology Schools: Sloan '16 (D) GMAT 1: 760 Q49 V44 GPA: 3.76 Followers: 9 Kudos [?]: 88 [6] , given: 19 Re: Jim's Income [#permalink] 20 Nov 2011, 10:39 6 This post received KUDOS Jim works 50 weeks per year (52-2). Therefore, he's income in a particular year is 50*200+9*(# of questions) = 10,000 + 9*(# of questions) and # of questions is odd. Since they are asking for a median (as opposed to mean), the answer must be one of the actual incomes. 9 * odd number of questions is odd. So you can immediately cross out A and C. Out of the remaining choices: Income = 10,000 9 * # of questions Income - 10,000 = 9 * # of questions Since # of questions is an integer, (Income - 10,000) must be divisible by 9. Divisibility by 9 is easy to test, so you subtract 10,000 from B, D, and E, and see which result is divisible by 9. The answer is D. (28,423-10,000) = 18,423 is the only one divisible by 9. Director Status: Finally Done. Admitted in Kellogg for 2015 intake Joined: 25 Jun 2011 Posts: 563 Location: United Kingdom Concentration: International Business, Strategy GMAT 1: 730 Q49 V40 GPA: 2.9 WE: Information Technology (Consulting) Followers: 21 Kudos [?]: 991 [0], given: 217 Re: Jim's Income [#permalink] 20 Nov 2011, 21:18 Great explanation Kostyan. Much appreciated. _________________ Best Regards, E. MGMAT 1 --> 530 MGMAT 2--> 640 MGMAT 3 ---> 610 GMAT ==> 730 GMAT Club Legend Joined: 09 Sep 2013 Posts: 4757 Followers: 294 Kudos [?]: 52 [0], given: 0 Re: Jim's Income [#permalink] 18 Sep 2013, 23:51 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 4757 Followers: 294 Kudos [?]: 52 [0], given: 0 Re: Jim Broke’s only source of income comes from his job as a qu [#permalink] 20 Nov 2014, 08:29 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Intern Joined: 23 Jun 2012 Posts: 16 Followers: 0 Kudos [?]: 0 [0], given: 3 Jim Broke’s only source of income comes from his job as a qu [#permalink] 02 May 2015, 04:36 Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 9$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option A, D and E and u will find that only option D is divisible by 9 (once 10,000 is subtracted from 28423) so its the right choice..No mathematics..
Jim Broke’s only source of income comes from his job as a qu   [#permalink] 02 May 2015, 04:36
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