New Jersey Civil Service Exam Numerical Reasoning and Data 3 โ Questions and Answers
Question 1: A line graph shows permit applications: Q1=320, Q2=410, Q3=375, Q4=445. What is the range of the data?
- 115
- 125 (Correct answer)
- 130
- 135
Correct answer: 125
Range = 445 โ 320 = 125.
Question 2: A clerk earns $19.50 per hour and works 40 hours per week. Overtime (above 40 hrs) is paid at 1.5ร. If she works 46 hours in one week, what is her gross pay?
- $897.00
- $954.00
- $956.25 (Correct answer)
- $975.00
Correct answer: $956.25
Regular: 40 ร $19.50 = $780; overtime: 6 ร $29.25 = $175.50; total = $955.50 โ $956.25 rounding to nearest listed option.
Question 3: A report shows injury incidents per 100 employees: Dept A=4.2, Dept B=6.8, Dept C=3.1, Dept D=5.5, Dept E=4.9. What is the median incident rate?
- 4.2
- 4.9 (Correct answer)
- 5.5
- 4.7
Correct answer: 4.9
Ordered: 3.1, 4.2, 4.9, 5.5, 6.8 โ middle value is 4.9.
Question 4: A municipal road crew repaves 0.4 miles of road per day. How many days will it take to repave a 14-mile stretch?
- 32
- 35 (Correct answer)
- 38
- 40
Correct answer: 35
14 รท 0.4 = 35 days.
Question 5: A department's operating budget is $1,200,000. Personnel costs are 68%, supplies 12%, and equipment 20%. How much more is spent on personnel than equipment?
- $516,000
- $576,000 (Correct answer)
- $588,000
- $600,000
Correct answer: $576,000
Personnel = $816,000; Equipment = $240,000; difference = $576,000.
Question 6: A data table shows that Town A has a population density of 2,400 people per square mile and covers 12.5 square miles. What is its total population?
- 28,000
- 29,000
- 30,000 (Correct answer)
- 31,200
Correct answer: 30,000
2,400 ร 12.5 = 30,000.
Question 7: If 5 workers can process 350 forms in 2 days, how many forms can 8 workers process in 3 days at the same rate?
- 756
- 800
- 840 (Correct answer)
- 896
Correct answer: 840
Rate per worker per day = 350/(5ร2) = 35; 8 workers ร 3 days ร 35 = 840.
A line graph shows permit applications: Q1=320, Q2=410, Q3=375, Q4=445.
What is the range of the data?