Rise Placement Test Quantitative Reasoning 2

Question 1

A store marks up the wholesale price of an item by 40% to set the retail price. If the retail price is $84, what is the wholesale price?

Accepted Answer

$60.00

Answer

If wholesale price is W, then W × 1.40 = 84, so W = 84 ÷ 1.40 = $60.00.

Question 2

A data set has values: 12, 15, 18, 21, 24. What is the mean absolute deviation (MAD)?

Accepted Answer

3

Answer

Mean = 18; deviations are |12-18|=6, |15-18|=3, |18-18|=0, |21-18|=3, |24-18|=6; MAD = (6+3+0+3+6)/5 = 3.

Question 3

If y varies directly with x and y = 45 when x = 9, what is y when x = 15?

Accepted Answer

75

Answer

The constant of variation k = y/x = 45/9 = 5, so y = 5 × 15 = 75.

Question 4

A rectangular garden is 12 meters long and 8 meters wide. If both dimensions are increased by 25%, by what percent does the area increase?

Accepted Answer

56.25%

Answer

New area = 15 × 10 = 150 m²; original area = 96 m²; increase = (150-96)/96 × 100 = 56.25%.

Question 5

Which of the following represents a function?

Accepted Answer

{(1,2),(2,3),(3,4)}

Answer

A function requires each x-value to map to exactly one y-value; {(1,2),(2,3),(3,4)} satisfies this.

Rise Placement Test Practice Test