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 positive integers x and y in the expression x&y, the symbol & represents one of the following six operations between x and y in the order shown: addition, subtraction, multiplication, division, exponentiation, or rooting (in this case, x&y would represent x1/y). If the six operations each have an equal chance of being represented, which of the following points in the xy-coordinate plane would have exactly a 50% chance of yielding the same result in the expression x&y (with the other outcomes all different from this result as well as from each other)?
(A) (1, 1)
(B) (1, 2)
(C) (2, 1)
(D) (2, 2)
(E) (3, 1)
Read the full article: The Quest for 700: Weekly GMAT Challenge