Post subject: 800 score math problem There are two sets A and B
Posted: Wed Apr 23, 2008 4:54 pm
There are two sets A and B. Which set contains the maximum value?
(1) The range of A is bigger than that of B
(2) The Minimum value of A is bigger than of B
I got the answer C. Can anyone prove this C is wrong?
pt
Post subject: 800 score math problem There are two sets A and B
Posted: Sat Apr 26, 2008 4:18 pm
Unless I am missing something here, C seems right.
i'll assume that you know why each statement alone is insufficient, and cut directly to the chase.
take the statements together:
let Ma stand for the minimum of set a and Mb the minimum of set b. similarly, let Ra be the range of set a and Rb the range of set b.
then
(1) says Ra > Rb (2) says Ma > Mb
note that the maximum of set a is Ma + Ra, and the maximum of set 2 is Mb + Rb (because that's what the range is: the distance between the max and min). but we know the former is bigger, by combining the inequalities contained in the 2 statements above.
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