Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
Manager
Joined: 02 Apr 2006
Posts: 82

Q. The average (arithmetic mean) of the 5 positive integers
[#permalink]
Show Tags
11 Nov 2007, 07:33
Q. The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
A. 16 B. 18 C. 19 D. 20 E. 22
I really appreciate your solutions.. == Message from the GMAT Club Team == THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



Director
Joined: 09 Jul 2007
Posts: 917
Location: London

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
Show Tags
11 Nov 2007, 07:55
pretttyune wrote: Q. The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
A. 16 B. 18 C. 19 D. 20 E. 22
I really appreciate your solutions..
Picking the answer choices
start form C upwards
(K+M+R+S+T)/5=16
K+M+R+S+T=80
K+M+R+S+40=80
1+2+ 18+19+40=80



VP
Joined: 28 Dec 2005
Posts: 1229

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
Show Tags
11 Nov 2007, 08:31
Ravshonbek wrote: pretttyune wrote: Q. The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
A. 16 B. 18 C. 19 D. 20 E. 22
I really appreciate your solutions.. Picking the answer choices start form C upwards (K+M+R+S+T)/5=16 K+M+R+S+T=80 K+M+R+S+40=80 1+2+ 18+19+40=80
How do you know the answer is 18 though ? I guess I just dont see why it couldnt be any of the other values ...



Director
Joined: 09 Jul 2007
Posts: 917
Location: London

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
Show Tags
11 Nov 2007, 08:33
pmenon wrote: Ravshonbek wrote: pretttyune wrote: Q. The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
A. 16 B. 18 C. 19 D. 20 E. 22
I really appreciate your solutions.. Picking the answer choices start form C upwards (K+M+R+S+T)/5=16 K+M+R+S+T=80 K+M+R+S+40=80 1+2+ 18+19+40=80 How do you know the answer is 18 though ? I guess I just dont see why it couldnt be any of the other values ...
in order for median to be biggest K and M should be as minimum as possible. and they cannot be equal as stated in the stem. so min value for for them is 1 and 2.
then.
start picking nums from answer choices. best is from C. to find out where to go up or down as answer choices are given in ascending order. u will realize that u have to go up and end up with B



VP
Joined: 28 Dec 2005
Posts: 1229

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
Show Tags
11 Nov 2007, 08:41
Ravshonbek wrote: in order for median to be biggest K and M should be as minimum as possible.
This is the key I was missing ! Thanks !
I always have trouble with these questions that ask for a min or a max .... is it a proper rule that when asked for the min or max, to set the other values to the opposite of what is being asked ?
I.E. If i want to maximize a value, set the others to the smallest possible ?



Director
Joined: 09 Jul 2007
Posts: 917
Location: London

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
Show Tags
11 Nov 2007, 08:43
pmenon wrote: Ravshonbek wrote: in order for median to be biggest K and M should be as minimum as possible. This is the key I was missing ! Thanks ! I always have trouble with these questions that ask for a min or a max .... is it a proper rule that when asked for the min or max, to set the other values to the opposite of what is being asked ? I.E. If i want to maximize a value, set the others to the smallest possible ?
depends on questions. if there is no other quicker method picking numbers and starting form C then setting min and max would help a lot == Message from the GMAT Club Team == THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



NonHuman User
Joined: 09 Sep 2013
Posts: 13270

Re: Q. The average (arithmetic mean) of the 5 positive integers
[#permalink]
Show Tags
29 Oct 2018, 09:43
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: Q. The average (arithmetic mean) of the 5 positive integers
[#permalink]
29 Oct 2018, 09:43






