Texas Civil Service Exam Mathematical Reasoning 3 — Questions and Answers
Question 1: A police department has 480 officers. If 1 in every 6 is assigned to the detective division, how many detectives are there?
- 60
- 70
- 80 (Correct answer)
- 90
Correct answer: 80
480 ÷ 6 = 80 officers assigned to the detective division.
Question 2: An inspector completes 18 building inspections in 3 days. At the same rate, how many inspections will be completed in 10 days?
- 54
- 60 (Correct answer)
- 66
- 72
Correct answer: 60
Rate = 18 ÷ 3 = 6 per day; 6 × 10 = 60 inspections in 10 days.
Question 3: The temperature on Monday was 98°F and dropped by 12°F by Wednesday. What was Wednesday's temperature?
- 84°F
- 86°F (Correct answer)
- 88°F
- 90°F
Correct answer: 86°F
98 − 12 = 86°F on Wednesday.
Question 4: A dispatcher handles calls at a ratio of 3 priority calls to every 7 routine calls. Out of 200 total calls, how many are priority calls?
- 50
- 55
- 60 (Correct answer)
- 65
Correct answer: 60
Priority calls = (3/10) × 200 = 60 priority calls.
Question 5: A government vehicle depreciates from $32,000 to $20,000 over 4 years. What is the average annual depreciation?
- $2,500
- $3,000 (Correct answer)
- $3,500
- $4,000
Correct answer: $3,000
($32,000 − $20,000) ÷ 4 = $12,000 ÷ 4 = $3,000 per year.
Question 6: If 3 clerks process 180 forms in a day, how many forms can 5 clerks process at the same rate?
- 250
- 275
- 300 (Correct answer)
- 330
Correct answer: 300
Each clerk handles 60 forms/day; 5 × 60 = 300 forms.
Question 7: A rectangular parking lot is 200 feet long and 80 feet wide. What is the perimeter?
- 280 ft
- 560 ft (Correct answer)
- 16,000 ft
- 320 ft
Correct answer: 560 ft
Perimeter = 2(200 + 80) = 2 × 280 = 560 feet.
Texas Civil Service Exam Mathematical Reasoning 3
A police department has 480 officers.
If 1 in every 6 is assigned to the detective division, how many detectives are there?