Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Apr 2015, 01:57

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Q. The average (arithmetic mean) of the 5 positive integers

Author Message
TAGS:
Manager
Joined: 02 Apr 2006
Posts: 94
Followers: 1

Kudos [?]: 16 [0], given: 0

Q. The average (arithmetic mean) of the 5 positive integers [#permalink]  11 Nov 2007, 06:33
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

VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 73 [0], given: 0

Re: (P/S) The average of k, m, r, s, and t [#permalink]  11 Nov 2007, 06:55
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

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
SVP
Joined: 28 Dec 2005
Posts: 1583
Followers: 2

Kudos [?]: 86 [0], given: 2

Re: (P/S) The average of k, m, r, s, and t [#permalink]  11 Nov 2007, 07:31
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

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 ...
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 73 [0], given: 0

Re: (P/S) The average of k, m, r, s, and t [#permalink]  11 Nov 2007, 07:33
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

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
SVP
Joined: 28 Dec 2005
Posts: 1583
Followers: 2

Kudos [?]: 86 [0], given: 2

Re: (P/S) The average of k, m, r, s, and t [#permalink]  11 Nov 2007, 07:41
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 ?
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 73 [0], given: 0

Re: (P/S) The average of k, m, r, s, and t [#permalink]  11 Nov 2007, 07:43
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
Re: (P/S) The average of k, m, r, s, and t   [#permalink] 11 Nov 2007, 07:43
Similar topics Replies Last post
Similar
Topics:
3 The average (arithmetic mean) of the 5 positive integers 15 28 Dec 2010, 16:54
The average (arithmetic mean) of the 5 positive integers k, 7 05 Oct 2008, 15:49
The average (arithmetic) mean of the 5 positive integers 9 06 May 2008, 11:07
The average (arithmetic mean) of the 5 positive integers k, 3 04 Mar 2006, 11:34
If the average (arithmetic mean) of 5 positive temperatures 6 14 Oct 2005, 11:43
Display posts from previous: Sort by

# Q. The average (arithmetic mean) of the 5 positive integers

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.