Ohio Civil Service Exam Mathematical Reasoning 4 — Questions and Answers
Question 1: A road crew repaves 0.75 miles of road per day. How many days will it take to repave a 27-mile stretch?
- 32
- 36 (Correct answer)
- 40
- 28
Correct answer: 36
27 ÷ 0.75 = 36 days.
Question 2: Overtime pay is 1.5 times the regular hourly rate. If an employee earns $22/hour and works 6 hours of overtime, how much is their overtime pay?
- $198 (Correct answer)
- $132
- $154
- $180
Correct answer: $198
$22 × 1.5 × 6 = $198.
Question 3: A filing cabinet holds 250 folders. If a department has 1,375 folders, how many full cabinets are needed?
- 5
- 6 (Correct answer)
- 7
- 4
Correct answer: 6
1,375 ÷ 250 = 5.5, so 6 full cabinets are needed to hold all folders.
Question 4: A tax rate increased from 4.5% to 5.25%. By what percentage did the tax rate increase?
- 0.75%
- 16.67% (Correct answer)
- 7.5%
- 12.5%
Correct answer: 16.67%
Percent increase = (0.75 / 4.5) × 100 = 16.67%.
Question 5: Which expression is equivalent to 3(x + 4) − 2x?
- x + 12 (Correct answer)
- 5x + 12
- x + 4
- 3x + 12
Correct answer: x + 12
3x + 12 − 2x = x + 12.
Question 6: A state inspection takes an average of 45 minutes. If inspectors work 7-hour shifts, how many complete inspections can one inspector finish in a shift?
- 8
- 9 (Correct answer)
- 10
- 7
Correct answer: 9
7 hours = 420 minutes; 420 ÷ 45 = 9.33, so 9 complete inspections.
Question 7: A pie chart shows department spending: Salaries 55%, Benefits 20%, Equipment 15%, Other 10%. If total spending is $1.2 million, how much is spent on Equipment?
- $180,000 (Correct answer)
- $150,000
- $200,000
- $120,000
Correct answer: $180,000
15% × $1,200,000 = $180,000.
Ohio Civil Service Exam Mathematical Reasoning 4
A road crew repaves 0.75 miles of road per day.
How many days will it take to repave a 27-mile stretch?