Texas Civil Service Exam Mathematical Reasoning Problems 2

Question 1

A city department has a budget of $48,000 for the year. After 8 months, $34,000 has been spent. What percentage of the budget remains?

Accepted Answer

29.2%

Answer

Remaining = $48,000 - $34,000 = $14,000; percentage = 14,000 / 48,000 × 100 ≈ 29.2%.

Question 2

An officer travels 12 miles north, then 16 miles east. How far is the officer from the starting point?

Accepted Answer

20 miles

Answer

Using the Pythagorean theorem: √(12² + 16²) = √(144 + 256) = √400 = 20 miles.

Question 3

A civil service exam is graded on a scale of 0–100. If a passing score requires 70% and there are 80 questions, how many must be answered correctly to pass?

Accepted Answer

56

Answer

70% of 80 = 0.70 × 80 = 56 correct answers required.

Question 4

A department issues 3 reports every 2 weeks. How many reports will be issued in a 52-week year?

Accepted Answer

78

Answer

52 weeks ÷ 2 weeks = 26 periods; 26 × 3 = 78 reports per year.

Question 5

A water main repair costs $1,250 in labor and $875 in materials. The city splits the total cost evenly among 3 departments. How much does each department pay?

Accepted Answer

$708.33

Answer

Total = $1,250 + $875 = $2,125; each department pays $2,125 ÷ 3 ≈ $708.33.

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Mathematical Reasoning Problems 2