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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?

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?

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?

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?

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

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 ?

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

gmatclubot

Re: (P/S) The average of k, m, r, s, and t
[#permalink]
11 Nov 2007, 07:43

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...