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



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Re: (P/S) The average of k, m, r, s, and t
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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
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



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Re: (P/S) The average of k, m, r, s, and t
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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
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 ...



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Re: (P/S) The average of k, m, r, s, and t
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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
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



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Re: (P/S) The average of k, m, r, s, and t
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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 ?



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Re: (P/S) The average of k, m, r, s, and t
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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 == 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.



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Re: Q. The average (arithmetic mean) of the 5 positive integers
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29 Oct 2018, 08:43
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Re: Q. The average (arithmetic mean) of the 5 positive integers &nbs
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29 Oct 2018, 08:43






