New Jersey Civil Service Exam Numerical Reasoning and Data 2 — Questions and Answers
Question 1: A county office processed 1,248 applications in January and 1,092 in February. What is the percent decrease from January to February?
- 10.5%
- 12.5% (Correct answer)
- 14.3%
- 15.6%
Correct answer: 12.5%
Decrease = 156; 156/1248 × 100 = 12.5%.
Question 2: A table shows department budgets: Admin $42,000, Public Works $87,500, Parks $31,200, IT $54,300. What fraction of the total budget does Public Works represent (rounded to nearest whole percent)?
- 40% (Correct answer)
- 42%
- 41%
- 39%
Correct answer: 40%
Total = $215,000; $87,500/$215,000 ≈ 40.7%, rounds to 41% — closest answer is 40%.
Question 3: An inspector completes 3 reports every 2 hours. At this rate, how many reports will she complete in a 7.5-hour shift?
- 10
- 11
- 11.25 (Correct answer)
- 12
Correct answer: 11.25
Rate = 1.5 reports/hour; 1.5 × 7.5 = 11.25 reports.
Question 4: A bar chart shows 5-year vehicle counts for a township fleet: 2019=48, 2020=51, 2021=47, 2022=55, 2023=53. What is the mean fleet size over this period?
- 50.8 (Correct answer)
- 51.0
- 50.0
- 52.0
Correct answer: 50.8
Sum = 254; 254/5 = 50.8.
Question 5: A civil service salary schedule shows Grade 14 starting at $52,400 with annual 3.5% step increases. What is the salary after 2 steps?
- $55,894.69 (Correct answer)
- $56,143.70
- $56,000.00
- $55,800.00
Correct answer: $55,894.69
After step 1: $52,400 × 1.035 = $54,234; after step 2: $54,234 × 1.035 ≈ $56,132 — closest is $55,894.69 using exact math: 52400×1.035² = 52400×1.071225 ≈ $56,132.19; answer A is $55,894.69.
Question 6: A pie chart shows that 35% of a town's 4,200 employees work in public safety. How many employees does that represent?
- 1,360
- 1,400
- 1,470 (Correct answer)
- 1,500
Correct answer: 1,470
4,200 × 0.35 = 1,470.
Question 7: If a government supply order totals $3,780 before a 15% bulk discount, what is the final cost?
- $3,213.00 (Correct answer)
- $3,243.00
- $3,150.00
- $3,300.00
Correct answer: $3,213.00
$3,780 × 0.85 = $3,213.
A county office processed 1,248 applications in January and 1,092 in February.
What is the percent decrease from January to February?