|
Author |
Message |
|
TAGS:
|
|
|
Senior Manager
Joined: 19 Feb 2007
Posts: 325
|
k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
 05 Sep 2007, 08:41
1
This post received
KUDOS
5
This post was
BOOKMARKED
D
E
Question Stats:
71% (01:42) correct
29% (00:54) wrong based on 347 sessions
HideShow timer Statistics
k, n, 12, 6, 17 What is the value of n in the list above? (1) k < n (2) The median of the numbers in the list is 10. OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-n-in-the-list-above-105889.html
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 01 Mar 2015, 04:26, edited 1 time in total.
|
|
|
|
|
|
SVP
Joined: 24 Aug 2006
Posts: 2130
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
05 Sep 2007, 08:52
Assuming that k and n are integers, st1 tells us nothing about a value. st2 gives us some info, but k can equal 10 and n equal 7 or vice versa.
st1 and 2 combined tells us that n must be the median and 10.
I'll go with C
sidbidus wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
|
|
|
|
|
|
Director
Joined: 22 Aug 2007
Posts: 566
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
05 Sep 2007, 14:48
1
This post received
KUDOS
sidbidus wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
Vote for C
1 insuff
2 insuff
both, let`s start with 2nd statement, it says median is 10, that means 12 and 17 must come after 10, thus three numbers must be 10, 12 and 17. {median by deffinition is the middle number, when the number of numbers is odd, 5 in this case}, so we have: (some number), 6, 10, 12,17
"some number" can be either n or k, "some number" must be less than 10. Since the 1st statement says that k<n, n is 10, and k is "some number"...
|
|
|
|
|
|
SVP
Joined: 07 Nov 2007
Posts: 1799
Location: New York
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 08:36
chan4312 wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient. 1) insuffciient (two variables..) we don't the pattern 2) k, n, 12, 6, 17 re arrange in the ascending order.. following two combinations are possible. either way n is median.. so n=10 6 ,k, n, 12,17 k,6, n, 12,17 B is the answer
_________________
Your attitude determines your altitude
Smiling wins more friends than frowning
|
|
|
|
|
|
SVP
Joined: 28 Dec 2005
Posts: 1557
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 08:51
C for me.
It cant be B since you can have 6,k,n,12,17 or 6,n,k,12,17. Considering both statements together you effectively rule out the second case since k<n. Therefore n=median=10
|
|
|
|
|
|
SVP
Joined: 07 Nov 2007
Posts: 1799
Location: New York
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 09:11
pmenon wrote: C for me.
It cant be B since you can have 6,k,n,12,17 or 6,n,k,12,17. Considering both statements together you effectively rule out the second case since k<n. Therefore n=median=10 Yeap!! you are right.. for the second statment I combined both and answered B.. obvisiously it is C.. Oh!! God when will I stop the making care less mistakes.. 
_________________
Your attitude determines your altitude
Smiling wins more friends than frowning
|
|
|
|
|
|
Manager
Joined: 04 Jun 2008
Posts: 157
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 09:30
x2suresh wrote: pmenon wrote: C for me.
It cant be B since you can have 6,k,n,12,17 or 6,n,k,12,17. Considering both statements together you effectively rule out the second case since k<n. Therefore n=median=10 Yeap!! you are right.. for the second statment I combined both and answered B.. obvisiously it is C.. Oh!! God when will I stop the making care less mistakes.. OA is C. I still can not understand how did you assess the value of k to find the value of n. did you use your cognitive abilities to assess values..or do we have a formula to do it. How did you find that n is 10.
|
|
|
|
|
|
SVP
Joined: 07 Nov 2007
Posts: 1799
Location: New York
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 10:02
1
This post received
KUDOS
chan4312 wrote: x2suresh wrote: pmenon wrote: C for me.
It cant be B since you can have 6,k,n,12,17 or 6,n,k,12,17. Considering both statements together you effectively rule out the second case since k<n. Therefore n=median=10 Yeap!! you are right.. for the second statment I combined both and answered B.. obvisiously it is C.. Oh!! God when will I stop the making care less mistakes.. OA is C. I still can not understand how did you assess the value of k to find the value of n. did you use your cognitive abilities to assess values..or do we have a formula to do it. How did you find that n is 10. median of x1,x2,x3,x4,x5 iss x3 ( when you arrange them in ascending order) We have six numbers given.. k, n, 12, 6, 17 (to find the median arrange then in ascending order) 6,12,17 ( we don't know where k and n com in this order) State 1) says k<n means k alsways comes before n. series can be.. k,n,6,12,17 k,6,12,17,n .... (you get more combinations).. State 2) median is 10 (that means middle numbe must be 10) __, __, 10,12,17 there are only two posibility with the above combinations 6,_,10,12,17 _,6,10,12,17 here other number_ must be k becaue k<n so 10 must be N. assume that 10 is k then k<n is contradicting. Hope this will help you.
_________________
Your attitude determines your altitude
Smiling wins more friends than frowning
|
|
|
|
|
|
Senior Manager
Joined: 23 May 2006
Posts: 324
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 10:31
Guys good explanantion. There is one more way to do this problem
S1. As mentioned it is a MAYBE case AD are out
S2. Median is 10. Since there are five numbers in this series the average must also be 10.
{6+12+17+(n+k)}/5 = 10
n+k = 15
Combine: Now we know that wither n or k is 10, but since k<n
n = 10
IMO C
|
|
|
|
|
|
Intern
Joined: 02 Aug 2008
Posts: 34
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 12:04
x97agarwal wrote: Guys good explanantion. There is one more way to do this problem
S1. As mentioned it is a MAYBE case AD are out
S2. Median is 10. Since there are five numbers in this series the average must also be 10.
{6+12+17+(n+k)}/5 = 10
n+k = 15
Combine: Now we know that wither n or k is 10, but since k<n
n = 10
IMO C How do you know that average(arithmetic mean) must also be 10? List could be 6,7,10,12,17 (k=7, n=10, k<n) with an average(arithmetic mean) of 10.4.
|
|
|
|
|
|
SVP
Joined: 07 Nov 2007
Posts: 1799
Location: New York
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 12:08
new2gmat wrote: x97agarwal wrote: Guys good explanantion. There is one more way to do this problem
S1. As mentioned it is a MAYBE case AD are out
S2. Median is 10. Since there are five numbers in this series the average must also be 10.
{6+12+17+(n+k)}/5 = 10
n+k = 15
Combine: Now we know that wither n or k is 10, but since k<n
n = 10
IMO C How do you know that average(arithmetic mean) must also be 10? List could be 6,7,10,12,17 (k=7, n=10, k<n) with an average(arithmetic mean) of 10.4. good point.. Its median=10 not the mean=10... So this approach is not correct.
_________________
Your attitude determines your altitude
Smiling wins more friends than frowning
|
|
|
|
|
|
Retired Moderator
Joined: 18 Jul 2008
Posts: 970
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 15:09
Mean = median in a series. We don't know that the numbers listed were a list of series. x97agarwal wrote: Guys good explanantion. There is one more way to do this problem
S1. As mentioned it is a MAYBE case AD are out
S2. Median is 10. Since there are five numbers in this series the average must also be 10.
{6+12+17+(n+k)}/5 = 10
n+k = 15
Combine: Now we know that wither n or k is 10, but since k<n
n = 10
IMO C
|
|
|
|
|
|
VP
Joined: 17 Jun 2008
Posts: 1380
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Aug 2008, 17:26
chan4312 wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient. lets arrange the numbers in increasing order : 6 12 17 with k,n occurring anywhere hence consider (1) k < n --------> it does not help in finding n (2) median of numbers is 10 => k,n can occur anywhere hence either k or n can be 10 (1) & (2) cannot help since k <n does not say whether k=10 or n=10 INSUFFI
IMO E 
_________________
cheers
Its Now Or Never
|
|
|
|
|
|
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7453
Location: Pune, India
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Dec 2010, 18:41
3
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
ajit257 wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
I thought n have numerous value here ? Can someone explain where i am going wrong Perfect example of how simple looking statistics questions can be a little tricky. k, n, 12, 6, 17 Stmnt 1: k < n No idea what n is. Not sufficient. Stmnt 2: The median of the list is 10. Since the list has 5 numbers i.e. odd number of numbers, the median must be the middle number i.e. the 3rd number when the numbers in the list are in increasing/decreasing order. Since 10 has to be a number in the list, either k or n has to be 10. But we do not know yet whether k is 10 or n is 10. So we don't know the value of n. Not sufficient. Using both together, we know one of k and n is 10. We also know that k < n. If k = 10, n is 10.1/11/12/13/14......etc etc etc But then the list becomes: 6, k(10), n, 12, 17 (whatever be the arrangement of last 3 elements). k will not be the middle number in this case and hence 10 will not be the median. If n = 10, k < 10 so the list will look something like: 6, k, n(10), 12, 17 ... Here 10 is the median. n must be 10. Hence, both together are sufficient.
_________________
Karishma
Veritas Prep | GMAT Instructor
My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews
|
|
|
|
|
|
Senior Manager
Joined: 28 Aug 2010
Posts: 258
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Dec 2010, 18:48
Karishma, Thanks a tonne. Awesome. I wasted a quite some time on this question. Could you please give some pointer as to how to deal with type of question in future.
_________________
Verbal:new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
-------------------------------------------------------------------------------------------------
Ajit
|
|
|
|
|
|
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7453
Location: Pune, India
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
06 Dec 2010, 22:46
ajit257 wrote: Karishma,
Thanks a tonne. Awesome. I wasted a quite some time on this question. Could you please give some pointer as to how to deal with type of question in future. Practice some questions based on Median. Tag search for some on this forum itself. Median is the most time consuming to figure out in case of missing values or new values. Sometimes range can also be fun. If you get stuck somewhere, let me know... I intend to write a complete post on statistics concepts soon. Check out http://www.veritasprep.com/blog/ and search for 'Quarter Wit Quarter Wisdom' (That is the tag I use to put my posts.) Look for statistics post in the coming weeks.
_________________
Karishma
Veritas Prep | GMAT Instructor
My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews
|
|
|
|
|
|
Manager
Joined: 13 Jul 2010
Posts: 167
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
08 Dec 2010, 00:22
wow very tricky. I selected the trap answer E by quickly coming to the conclusion that I couldn't tell even with both statements whether k or n was the median so would not N's value.
|
|
|
|
|
|
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16032
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
28 Feb 2015, 20:19
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 39759
|
Re: k, n, 12, 6, 17 What is the value of n in the list above? [#permalink]
Show Tags
01 Mar 2015, 04:28
sidbidus wrote: k, n, 12, 6, 17
What is the value of n in the list above?
(1) k < n
(2) The median of the numbers in the list is 10.
k, n, 12, 6, 17
What is the value of n in the list above?Given list: {k, n, 6, 12, 17} (1) k < n. Clearly insufficient. (2) The median of the numbers in the list is 10 --> now, the list contains odd # of terms, thus its median is the middle term and since no other term is 10 then either n or k must be 10, but we don't know which one. Not sufficient. (1)+(2) Since from (1) k<n then k=10=median is not possible, because in this case 3 terms will be greater than k (n, 12, and 17) and it won't be the middle term (it'll be the second term), for example {6, k=10, n, 12, 17}. Thus n must be 10. Sufficient. Answer: C. OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-n-in-the-list-above-105889.html
_________________
New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
|
|
|
|
|
|
|
Re: k, n, 12, 6, 17 What is the value of n in the list above?
[#permalink]
01 Mar 2015, 04:28
|
|
|
|
|
|
|
|
|
|
|
|
|
1
