GRE- Quantitative Reasoning

QUESTION: 3

On the plane, what is the slope of a line that is perpendicular to the line defined by the equation
A. ? 6

B. -2

C. -

D. 2

E. 3

Answer(s): A
Explanation: First, isolate y by dividing all terms by
. The equation is now in the
standard form y = mx + b, where m is the line's slope. The slope of the perpendicular line is the
negative reciprocal of , or - 6.

QUESTION: 4

Fifteen buoys, numbered 1 to 15, are positioned equidistantly along a straight path for a sailboat
race. The race begins at buoy 1, and 45 minutes into the race the fastest boat reaches buoy 10.
At the same average speed, how many minutes wil it take the boat to race from buoy 10 to
buoy 15?

A. 45
B. 32.5
C. 25
D. 22.5
E. 15

Answer(s): C
Explanation: In 45 minutes, the boat traveled 9 (not 10) segments (from one buoy to the next).
That means it takes the boat 5 minutes to travel the length of 1 segment. At buoy 10, 5
additional segments remain ahead. Since the boat's average speed is the same before and after
buoy 10, it takes the boat
minutes to travel from buoy 10 to buoy 15.

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