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The Quest for 700: Weekly GMAT Challenge

Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?

For all numbers x and y, the operation # is defined by x # y = (x + y)3, whereas the operation ~ is defined by x ~ y = (xy)3. At which of the following points in the xy plane is the value of x # y equal to the value of x ~ y?
 
A: (1, 1)
B: (1, -1)
C: (0, 2)
D: (-2, 0)
E: (-2, 2)


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