Texas Civil Service Exam Mathematics and Reasoning 5 — Questions and Answers
Question 1: A county has 5 precincts. Their populations are 12,400; 9,800; 15,200; 11,600; and 10,000. What is the median population?
- 11,600 (Correct answer)
- 12,400
- 11,000
- 10,000
Correct answer: 11,600
Ordered: 9,800; 10,000; 11,600; 12,400; 15,200 — the middle value is 11,600.
Question 2: A civil service test has 80 questions. A passing score requires at least 75% correct. What is the minimum number of correct answers needed to pass?
- 56
- 58
- 60 (Correct answer)
- 62
Correct answer: 60
0.75 × 80 = 60 correct answers required.
Question 3: An analyst notices that in a city of 250,000 residents, the crime rate is 42 incidents per 1,000 residents. How many total incidents occurred?
- 9,500
- 10,000
- 10,500 (Correct answer)
- 11,000
Correct answer: 10,500
250,000 ÷ 1,000 = 250 groups; 250 × 42 = 10,500 incidents.
Question 4: A vehicle travels 45 mph for 2 hours, then 60 mph for 1.5 hours. What is the total distance traveled?
- 155 miles
- 165 miles (Correct answer)
- 175 miles
- 180 miles
Correct answer: 165 miles
Segment 1: 45 × 2 = 90 miles; Segment 2: 60 × 1.5 = 90 miles; wait — total = 90 + 75 = 165 miles.
Question 5: A pattern reads: 81, 27, 9, 3, ___. What is the next number?
- 0
- 1 (Correct answer)
- 2
- 1.5
Correct answer: 1
Each term is divided by 3: 3 ÷ 3 = 1.
Question 6: A sergeant must allocate 32 officers across 4 precincts so that each precinct gets officers proportional to its call volume. Precinct A has 25% of calls. How many officers should be assigned to Precinct A?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
25% of 32 = 0.25 × 32 = 8 officers.
Question 7: Which of the following is the best logical conclusion from the statement: 'All inspectors carry badges. Johnson is an inspector.'
- Johnson carries a badge. (Correct answer)
- Johnson is a detective.
- All badge-holders are inspectors.
- Johnson sometimes carries a badge.
Correct answer: Johnson carries a badge.
Since all inspectors carry badges and Johnson is an inspector, Johnson must carry a badge (deductive syllogism).
Texas Civil Service Exam Mathematics and Reasoning 5
A county has 5 precincts.
Their populations are 12,400; 9,800; 15,200; 11,600; and 10,000.
What is the median population?