Examples of GRE General Problem Solving Questions
Question: In the x,y plane, find the y-intercept of a line with slope equal to -2 and that passes through the point (3,2).
(a) 5
(b) 6
(c) 8
(d) 9
(e) 10
Answer: The equation of a line with intercept -2 is:
y = -2x + n.
If the line passes through point (3,2), 2 = (-2)3 + n, and n = 8.
The equation of the line is y = -2x + 8 and its the y-intercept is 8.
Question: For any x ≠ 0 and x ≠ 1, (x2 + 4x - 5)/(x2 - x) =
(a) x - 5
(b) 4 - 5/x
(c) x + 5/x
(d) 1 + 5/x
(e) 3x - 4
Answer:
(x2 + 4x - 5) = (x - 1)(x + 5)
(x2 - x) = (x - 1)x
(x2 + 4x - 5)/(x2 - x) = (x + 5)/x
(x2 + 4x - 5)/(x2 - x) = 1 + 5/x