Mathematics and Reasoning Flashcards
7 cards from real Texas Civil Service Exam practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematics and Reasoning flashcards as text
A rectangular evidence room measures 24 feet by 18 feet. What is the area of the room in square feet?
Answer: 432 sq ft
Area = length × width = 24 × 18 = 432 square feet.
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?
Answer: 36
Ratio means 2 violent per 7 property: (2/7) × 126 = 36 violent crimes.
A patrol car gets 18 miles per gallon. If fuel costs $3.60 per gallon, what is the fuel cost per mile?
Answer: $0.20
Cost per mile = $3.60 ÷ 18 = $0.20 per mile.
An employee's salary increased from $42,000 to $46,200. By what percentage did the salary increase?
Answer: 10%
Increase = $4,200; percentage = (4,200 ÷ 42,000) × 100 = 10%.
A series follows the pattern: 5, 10, 20, 40, ___. What is the next number?
Answer: 80
Each term is multiplied by 2, so 40 × 2 = 80.
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?
Answer: 8
6 hours = 360 minutes; 360 ÷ 45 = 8 complete files.
If X + 14 = 3X − 6, what is the value of X?
Answer: 10
14 + 6 = 3X − X → 20 = 2X → X = 10.