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Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]
23 Mar 2011, 21:39

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Difficulty:

25% (medium)

Question Stats:

84% (02:32) correct
16% (02:31) wrong based on 55 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?

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]
23 Mar 2011, 21:51

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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]
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. _________________

Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]
03 Mar 2015, 08:45

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Re: Set A consists of integers {3, -8, Y, 19, -6} and set B consists of in [#permalink]
03 Mar 2015, 08:52

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 _________________

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