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.

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:

range ,mode,median [#permalink]
23 Mar 2011, 21:39

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

100% (02:05) correct
0% (00:00) wrong based on 7 sessions

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

Re: range ,mode,median [#permalink]
23 Mar 2011, 21:51

1

This post received KUDOS

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: range ,mode,median [#permalink]
24 Mar 2011, 09:32

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. _________________