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:

Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]

Show Tags

23 Mar 2011, 22:39

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

84% (02:29) correct
16% (02:14) wrong based on 74 sessions

HideShow timer Statistics

Set A consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set A, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]

Show Tags

23 Mar 2011, 22:51

1

This post received KUDOS

1

This post was BOOKMARKED

AnkitK wrote:

Set A consists of integers {3,-8,Y,19,-6} and set B consists of integers {k,-3,0,16,-5,9}.Number L represents the median of set A,number M represents mode of set B and number Z=L^M.If Y is an integer greater than 21 ,for what value of k will Z be a divisor of 26? A.-2 B.-1 C.0 D.1 E.2

Set A = {-8,-6,3,19} and Y Set B = {-5,-3,0,9,16} and K

Now; Y>21. Let's consider Y=22.

This will make the median of Set A as 3. Median = (n+1)/2 if n=number of terms in the set and n=odd Here n=5. Median will be 6/2=3rd term of the set A arranged in ascending order.

Set A = {-8,-6,3,19,22}. Median = L = 3

\(Z=L^M\) \(Z=3^M\)

We need to know what should M be for making Z a divisor of 26.

Since 26 contains only 2 and 13 as prime factors. The only option left for M is 0. \(Z=3^M=3^0=1\) Z=1 and is a factor of 26.

To make M=0; we need to have maximum number of 0's in the set B. Since all of the elements are different in Set B. If we make K=0, we will have 2 0's and 0 will be the mode of the set.

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]

Show Tags

24 Mar 2011, 10:32

shalu wrote:

guys will u please tell me how long does it take u to solve questions like this....

There are few difficult ones in statistics, which may take well over 2 minutes. This particular one should not be more than 1min 20secs. The explanation may look convoluted and tedious. If you know about the basic concepts of mean, mode, median, range, std deviation and jot down only what's needed for the solution, omitting the aesthetics, you could even do it within a minute. Then again, I'd rather spend 20 seconds extra and solve a question correctly. Integrity holds the priority, however one must not be ignorant of the clock. _________________

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]

Show Tags

03 Mar 2015, 09:45

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. _________________

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]

Show Tags

03 Mar 2015, 09:52

Expert's post

AnkitK wrote:

Set A consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set A, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?

A. -2 B. -1 C. 0 D. 1 E. 2

OPEN DISCUSSION OF THIS QUESTION IS HERE: set-a-126761.html _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...

Rishabh from Gyan one services, India had a one to one interview with me where I shared my experience at IMD till now. http://www.gyanone.com/blog/life-at-imd-interview-with-imd-mba/ ...