Saturday, January 16, 2010

GRE Math Problem 12

Given: The average (arithmetic mean) of the measures of two angles of a quadrilateral is 60°.

Compare two values:


Column A

Column B

The average of
the measures of the
other two angles
120°


Solution for GRE Math Problem 11:

Average of x and y lies exactly in the middle between x and y. Average of x, y and y lies between x and y, but closer to y. As y is bigger than x, columb B is greater.
Answer:B


See also these GRE problems:

Posted by Alexey Izvalov at 9:39 AM
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3 comments:

  1. AnonymousJanuary 18, 2010 at 10:35 AM

    ooops, take x<0 and y < 0

    ReplyDelete
  2. Alexey IzvalovJanuary 18, 2010 at 12:17 PM

    Thank you for the feedback! Nice to know, that my blog is read :)

    I suppose, taking x<0 and y<0 doesn't break the solution. Given relation between x and y (x-6

    (x+2y)/3>(x+y)/2

    ReplyDelete
  3. Alexey IzvalovJanuary 18, 2010 at 12:20 PM

    //something wrong happened with the comment form

    Given relation between x and y (x < y) is absolute. Both for positive and for negative numbers the bigger one os located to the right on number axis.

    For example, x=-9, y=-3
    -9<-3

    (x+y)/2=(-9+(-3))/2=-12/2=-6
    (x+2y)/3=(-9+2(-3))/2=-15/3=-5

    -5>-6

    (x+2y)/3 > (x+y)/2

    ReplyDelete

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