Texas Civil Service Exam Mathematical Reasoning 4 โ Questions and Answers
Question 1: An officer earns $22.50 per hour and works 8 hours of overtime at 1.5ร pay. What is the overtime pay?
- $180.00
- $225.00
- $270.00 (Correct answer)
- $315.00
Correct answer: $270.00
Overtime rate = $22.50 ร 1.5 = $33.75; $33.75 ร 8 hours = $270.00.
Question 2: A city's water usage increased from 2,400,000 gallons to 2,760,000 gallons. By what percentage did usage increase?
- 12%
- 13%
- 15% (Correct answer)
- 18%
Correct answer: 15%
(2,760,000 โ 2,400,000) รท 2,400,000 ร 100 = 360,000 รท 2,400,000 ร 100 = 15%.
Question 3: A supply room has 144 pens. If 36 are distributed to one department and 48 to another, how many remain?
- 50
- 56
- 60 (Correct answer)
- 66
Correct answer: 60
144 โ 36 โ 48 = 60 pens remaining.
Question 4: A tax rate is 1.85% on a property valued at $180,000. What is the annual property tax?
- $3,240.00
- $3,330.00 (Correct answer)
- $3,420.00
- $3,600.00
Correct answer: $3,330.00
$180,000 ร 0.0185 = $3,330.00 in annual property tax.
Question 5: A civil engineer estimates a project will take 640 worker-hours. If 8 workers are assigned, how many days will the project take working 8 hours per day?
- 8 days
- 9 days
- 10 days (Correct answer)
- 12 days
Correct answer: 10 days
8 workers ร 8 hrs/day = 64 worker-hours per day; 640 รท 64 = 10 days.
Question 6: A department's expenses for January through April were $14,200, $13,800, $15,600, and $14,400. What is the average monthly expense?
- $13,800
- $14,200
- $14,500 (Correct answer)
- $15,000
Correct answer: $14,500
($14,200 + $13,800 + $15,600 + $14,400) รท 4 = $58,000 รท 4 = $14,500.
Question 7: If 5/8 of a grant of $96,000 has been spent, how much of the grant remains?
- $32,000
- $36,000 (Correct answer)
- $38,000
- $40,000
Correct answer: $36,000
Spent = 5/8 ร $96,000 = $60,000; remaining = $96,000 โ $60,000 = $36,000.
An officer earns $22.50 per hour and works 8 hours of overtime at 1.5ร pay.
What is the overtime pay?