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The Quest for 700: Weekly GMAT Challenge

Each week Manhattan GMAT posts a 700 level GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?

For any operation ? that acts on two numbers x and y, the commutator is defined as x?yy?x. For which of the following operations is the commutator not equal to zero for some values of x and y?

I. x?y = xy
II. x?y = (xy)2
III. x?y = x3 + 3x2y + 3xy2 + y3

(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II, and III




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