Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

20 Nov 2011, 05:44

1

This post received KUDOS

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

75% (hard)

Question Stats:

63% (03:26) correct
37% (03:00) wrong based on 146 sessions

HideShow timer Statictics

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?

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?

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.

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. _________________

Re: Jim Broke’s only source of income comes from his job as a qu [#permalink]

Show Tags

20 Nov 2014, 09:29

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. _________________

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

Show Tags

02 May 2015, 05:36

2

This post received KUDOS

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.. _________________

Push yourself again and again. Don't give an inch until the final buzzer sounds. -Larry Bird Success isn't something that just happens - success is learned, success is practiced and then it is shared. -Sparky Anderson -S

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

Show Tags

25 Sep 2015, 06:27

2

This post received KUDOS

Not so calculation intensive if we just invest a few seconds in planning:

Step 1: We will get following equation: Total Salary = 52 * $200 - 2*$200 + 9 * (some odd number > 20)

With little simplification we got Total Salary = $10,000 + 9 * (some odd number > 20)

Step 2 (planning): We can deduce from above equation and available answer choices that calculation is going to be stingy so let's try backtrack from given options.

Now let's eliminate.

Trick 1: For a number to be divisible by 9, sum of all the digits must be equal to 9. Trick 2: 9 (odd) * some odd number => Last digit must be an odd number

Step 3 (Elimination): To apply trick 1, we have to decrease ten thousands place number with 1 (Total salary - 10,000) and then do divisibility test. This will eliminate B,C and E.

Trick 2 will eliminate A and C.

Only option that we are left with is D. _________________

Re: Jim Broke’s only source of income comes from his job as a qu [#permalink]

Show Tags

25 Sep 2015, 11:17

Thought this question is not that calculation intensive, figuring out the tricks might take sometime. To increase up speed for such questions, in my opinion, try to solve MGMAT Quant Advanced Strategy Guide.

bdw this question took 2:17 for me.

vinnisatija wrote:

it took me more than 4 minutes to solve this question.Is it too long ?

Hope it helps _________________

Middle of nowhere!

gmatclubot

Re: Jim Broke’s only source of income comes from his job as a qu
[#permalink]
25 Sep 2015, 11:17

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

HBS alum talks about effective altruism and founding and ultimately closing MBAs Across America at TED: Casey Gerald speaks at TED2016 – Dream, February 15-19, 2016, Vancouver Convention Center...