New Jersey Civil Service Exam Numerical Reasoning and Data 5 — Questions and Answers
Question 1: A budget spreadsheet shows that total expenditures must not exceed 95% of revenues. If revenues are $4,600,000, what is the maximum allowable expenditure?
- $4,200,000
- $4,370,000 (Correct answer)
- $4,560,000
- $4,600,000
Correct answer: $4,370,000
$4,600,000 × 0.95 = $4,370,000.
Question 2: A frequency table shows complaint types received last month: Noise=47, Parking=83, Trash=29, Zoning=41. What percent of complaints were about parking?
- 38%
- 41%
- 41.5% (Correct answer)
- 42%
Correct answer: 41.5%
Total = 200; 83/200 = 41.5%.
Question 3: A project is estimated to take 6 weeks with a team of 4 workers. If 2 additional workers are added, how long will the project take (assuming linear scaling)?
- 3 weeks
- 4 weeks (Correct answer)
- 5 weeks
- 6 weeks
Correct answer: 4 weeks
Total work = 4×6 = 24 worker-weeks; with 6 workers: 24/6 = 4 weeks.
Question 4: An agency spends $6,500 per month on office supplies. The director wants to cut this by 18%. What will the new monthly supply budget be?
- $5,200
- $5,330 (Correct answer)
- $5,460
- $5,500
Correct answer: $5,330
$6,500 × 0.82 = $5,330.
Question 5: A data set of response times (in minutes) reads: 8, 12, 7, 15, 9, 11, 7. What is the mode?
- 7 (Correct answer)
- 9
- 11
- 12
Correct answer: 7
7 appears twice; all other values appear once, so 7 is the mode.
Question 6: A county's tax revenue grew at a rate of 4% per year. If revenue was $10 million in 2022, what will it be in 2025?
- $11.20 million
- $11.25 million
- $11.45 million
- $11.66 million (Correct answer)
Correct answer: $11.66 million
$10M × 1.04³ = $10M × 1.124864 ≈ $11.25M — closest to $11.25M; exact: $11.248M ≈ $11.25M, but compounding 3 years: 10×1.04×1.04×1.04 = 11.2486, so $11.25M is closest listed.
Question 7: A supervisor reviews a tally of complaints filed per shift: Morning=34, Afternoon=28, Evening=19, Night=11. What is the ratio of morning to night complaints in simplest form?
- 34:11 (Correct answer)
- 3:1
- 17:6
- 2:1
Correct answer: 34:11
34 and 11 share no common factors, so the ratio 34:11 is already in simplest form.
New Jersey Civil Service Exam Numerical Reasoning and Data 5
A budget spreadsheet shows that total expenditures must not exceed 95% of revenues.
If revenues are $4,600,000, what is the maximum allowable expenditure?