Rise Placement Test Quantitative Reasoning 2 — Questions and Answers
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?
- $50.40
- $58.80
- $60.00 (Correct answer)
- $67.20
Correct answer: $60.00
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)?
- 3 (Correct answer)
- 4
- 5
- 6
Correct answer: 3
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?
- 27
- 60
- 75 (Correct answer)
- 90
Correct answer: 75
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?
- 25%
- 50%
- 56.25% (Correct answer)
- 62.5%
Correct answer: 56.25%
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?
- A circle centered at the origin
- {(1,2),(1,3),(2,4)}
- {(1,2),(2,3),(3,4)} (Correct answer)
- x = y²
Correct answer: {(1,2),(2,3),(3,4)}
A function requires each x-value to map to exactly one y-value; {(1,2),(2,3),(3,4)} satisfies this.
Question 6: A bag contains 4 red, 6 blue, and 5 green marbles. What is the probability of drawing a marble that is NOT red?
- 4/15
- 7/15
- 11/15 (Correct answer)
- 2/3
Correct answer: 11/15
Non-red marbles = 6 + 5 = 11; total = 15; P(not red) = 11/15.
Question 7: Solve for x: 3(2x − 4) = 2(x + 6)
- x = 3
- x = 6 (Correct answer)
- x = 4.5
- x = 5
Correct answer: x = 6
Expand: 6x − 12 = 2x + 12; 4x = 24; x = 6.
Rise Placement Test Quantitative Reasoning 2
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?