Texas Civil Service Exam Mathematics and Reasoning 3 — Questions and Answers
Question 1: A rectangular evidence room measures 24 feet by 18 feet. What is the area of the room in square feet?
- 384 sq ft
- 432 sq ft (Correct answer)
- 396 sq ft
- 480 sq ft
Correct answer: 432 sq ft
Area = length × width = 24 × 18 = 432 square feet.
Question 2: A police station receives reports in the ratio of violent to property crimes at 2:7. If 126 property crimes were reported last month, how many violent crimes were reported?
- 18
- 28
- 36 (Correct answer)
- 42
Correct answer: 36
Ratio means 2 violent per 7 property: (2/7) × 126 = 36 violent crimes.
Question 3: A patrol car gets 18 miles per gallon. If fuel costs $3.60 per gallon, what is the fuel cost per mile?
- $0.15
- $0.18
- $0.20 (Correct answer)
- $0.22
Correct answer: $0.20
Cost per mile = $3.60 ÷ 18 = $0.20 per mile.
Question 4: An employee's salary increased from $42,000 to $46,200. By what percentage did the salary increase?
- 8%
- 9%
- 10% (Correct answer)
- 12%
Correct answer: 10%
Increase = $4,200; percentage = (4,200 ÷ 42,000) × 100 = 10%.
Question 5: A series follows the pattern: 5, 10, 20, 40, ___. What is the next number?
- 60
- 70
- 80 (Correct answer)
- 100
Correct answer: 80
Each term is multiplied by 2, so 40 × 2 = 80.
Question 6: An investigator has 6 hours to review case files. Each file takes 45 minutes. How many complete files can be reviewed in the allotted time?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
6 hours = 360 minutes; 360 ÷ 45 = 8 complete files.
Question 7: If X + 14 = 3X − 6, what is the value of X?
- 8
- 9
- 10 (Correct answer)
- 11
Correct answer: 10
14 + 6 = 3X − X → 20 = 2X → X = 10.
Texas Civil Service Exam Mathematics and Reasoning 3
A rectangular evidence room measures 24 feet by 18 feet.
What is the area of the room in square feet?