GRE Math Challenge Question:
How many people rated the product for Readily available in stores with a number greater than the number that they rated the product for Durability?
A) 5
B) 7
C) 8
D) 9
E) 10
Solution with Explanation:
If we call the horizontal axis for Durability the x-axis and we call the vertical axis for Readily available in stores the y-axis, then the points corresponding to a rating for Readily available in stores that is greater than the rating for Durability are those points whose y-coordinate is greater than their x-coordinate, or the points that are above the line with the equation y = x.
These are those points
The point with coordinates (1, 2), which represents one person
The point with coordinates (2, 5), which represents three people
The point with coordinates (3, 7), which represents one person
The point with coordinates (4, 5), which represents one person
The point with coordinates (4, 6), which represents one person
So the number of people who rated the product with a greater number for Readily available in stores than for Durability is 1 + 3 + 1 + 1 + 1 = 7.
Correct Answer Choice: B
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