Texas Civil Service Exam Mathematical Reasoning Problems 4 — Questions and Answers
Question 1: A city collects $2.4 million in property taxes. If administrative costs are 12% of collections, how much money is available for services?
- $1,920,000
- $2,112,000 (Correct answer)
- $2,160,000
- $2,280,000
Correct answer: $2,112,000
Admin costs = $2,400,000 × 0.12 = $288,000; available = $2,400,000 - $288,000 = $2,112,000.
Question 2: An officer's shift runs from 7:45 AM to 4:15 PM with a 30-minute unpaid lunch break. How many paid hours does the officer work?
- 7.5 hours
- 8.0 hours (Correct answer)
- 8.5 hours
- 9.0 hours
Correct answer: 8.0 hours
Total shift = 8 hours 30 min = 8.5 hrs; subtract 0.5 hrs unpaid lunch = 8.0 paid hours.
Question 3: A training program costs $15,000 for equipment and $800 per participant. If the department budgets $23,400 total, how many participants can attend?
- 8
- 9
- 10 (Correct answer)
- 11
Correct answer: 10
Available for participants = $23,400 - $15,000 = $8,400; $8,400 ÷ $800 = 10.5, so 10 full participants.
Question 4: A road project is 60% complete after 9 months. At this rate, how many total months will the project take?
- 12 months
- 13 months
- 15 months (Correct answer)
- 18 months
Correct answer: 15 months
9 months represents 60%; total = 9 ÷ 0.60 = 15 months.
Question 5: A city survey team can map 4 square blocks per hour. After 6 hours, they have completed 36% of the total area. How many total square blocks are in the survey zone?
- 56
- 60
- 64
- 66 (Correct answer)
Correct answer: 66
Blocks mapped = 4 × 6 = 24; if 24 = 36%, total = 24 ÷ 0.36 ≈ 66.7, rounded to 66 blocks.
Question 6: If a city's population grows from 125,000 to 140,000 over 5 years, what is the average annual growth rate?
- 2.0%
- 2.4% (Correct answer)
- 2.8%
- 3.0%
Correct answer: 2.4%
Total growth = 15,000; annual growth = 3,000; rate = 3,000 / 125,000 × 100 = 2.4% per year.
Question 7: A supply order totals $3,680. If the department receives a 12.5% government discount, what is the final cost?
- $3,040
- $3,120
- $3,220 (Correct answer)
- $3,290
Correct answer: $3,220
Discount = $3,680 × 0.125 = $460; final cost = $3,680 - $460 = $3,220.
Texas Civil Service Exam Mathematical Reasoning Problems 4
A city collects $2.4 million in property taxes.
If administrative costs are 12% of collections, how much money is available for services?