Texas Civil Service Exam Mathematical Reasoning Problems 3 โ Questions and Answers
Question 1: A civil service position offers a starting salary of $42,000 with a 4.5% annual raise. What will the salary be after 1 year?
- $43,800
- $43,890 (Correct answer)
- $44,100
- $44,250
Correct answer: $43,890
Raise = $42,000 ร 0.045 = $1,890; new salary = $42,000 + $1,890 = $43,890.
Question 2: A records office processes an average of 45 requests per day. At this rate, how many requests will be processed over 4 five-day work weeks?
- 800
- 850
- 900 (Correct answer)
- 950
Correct answer: 900
45 requests/day ร 5 days/week ร 4 weeks = 900 requests.
Question 3: Two fire stations are 15 miles apart. Station A responds at 40 mph and Station B at 60 mph. Both dispatch to a midpoint fire. Which arrives first and by how many minutes?
- Station A by 3.75 min
- Station B by 3.75 min (Correct answer)
- Station B by 7.5 min
- They arrive at the same time
Correct answer: Station B by 3.75 min
Midpoint = 7.5 mi each; A takes 7.5/40 hr = 11.25 min; B takes 7.5/60 hr = 7.5 min; B is faster by 3.75 min.
Question 4: A public works crew fills 6 potholes per hour. How long will it take 3 crews working simultaneously to fill 54 potholes?
- 2 hours
- 3 hours (Correct answer)
- 4 hours
- 5 hours
Correct answer: 3 hours
3 crews ร 6 potholes/hr = 18 potholes/hr; 54 รท 18 = 3 hours.
Question 5: A cylindrical water tank has a radius of 5 feet and a height of 10 feet. Using ฯ โ 3.14, what is its volume?
- 785 cubic feet (Correct answer)
- 1,570 cubic feet
- 2,355 cubic feet
- 628 cubic feet
Correct answer: 785 cubic feet
Volume = ฯ ร rยฒ ร h = 3.14 ร 25 ร 10 = 785 cubic feet.
Question 6: A department's electricity bill was $980 in January and decreased by 15% in February. What was the February bill?
- $833 (Correct answer)
- $840
- $847
- $853
Correct answer: $833
Decrease = $980 ร 0.15 = $147; February bill = $980 - $147 = $833.
Question 7: If 5 clerks file 200 documents in 4 hours, how many documents can 8 clerks file in 6 hours at the same rate?
- 420
- 440
- 460
- 480 (Correct answer)
Correct answer: 480
Rate per clerk per hour = 200 รท (5 ร 4) = 10 docs; 8 clerks ร 6 hours ร 10 = 480 documents.
Texas Civil Service Exam Mathematical Reasoning Problems 3
A civil service position offers a starting salary of $42,000 with a 4.5% annual raise.
What will the salary be after 1 year?