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?

The expression x[n]y is defined for positive values of x and y and for positive integer values of n as follows:

  • x[1]y = xy
  • If n is odd, x[n+1]y = (x[n]y)x
  • If n is even, x[n+1]y = (x[n]y)y


If y = ½ and x[4]y = 2, then x =

(A) ¼
(B) ½
(C) 1
(D) 2
(E) 4

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