GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 06:08 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Q. The average (arithmetic mean) of the 5 positive integers post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager  Joined: 02 Apr 2006
Posts: 82
Q. The average (arithmetic mean) of the 5 positive integers  [#permalink]

Show Tags

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 re-post 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

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

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

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

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

1
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 re-post 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.
Non-Human User Joined: 09 Sep 2013
Posts: 13270
Re: Q. The average (arithmetic mean) of the 5 positive integers  [#permalink]

Show Tags

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
Display posts from previous: Sort by

Q. The average (arithmetic mean) of the 5 positive integers post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  