GMAT Problem Solving
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Source: Manhattan
Level: 3
The harmonic mean of two numbers x and y, symbolized as h(x, y), is defined as 2 divided by the sum of the reciprocals of x and y, whereas the geometric mean g(x, y) is defined as the square root of the product of x and y (when this square root exists), and the arithmetic mean m(x, y) is defined as 
For which of the following pairs of values for x and y is g(x, y) equal to the arithmetic mean of 
h(x,y)and m(x, y)?
- A x =-2, y = -1
- B x = -1,y = 2
- C x = 2,y=8
- D x = 8, y=8
- E x = 8, y = 64