NYC Mathematical Reasoning and Number Facility 4 — Questions and Answers
Question 1: A police precinct has 5 patrol cars. Each uses an average of 38 gallons of fuel per week at $3.85 per gallon. What is the total fuel cost for all cars over a 4-week month?
- $2,926 (Correct answer)
- $732
- $1,463
- $3,080
Correct answer: $2,926
Weekly cost per car = 38 × $3.85 = $146.30; total = $146.30 × 5 × 4 = $2,926.
Question 2: An exam has 80 questions and a candidate answers 65 correctly. What percentage of questions did the candidate answer correctly, rounded to the nearest whole percent?
- 81% (Correct answer)
- 78%
- 75%
- 83%
Correct answer: 81%
65 ÷ 80 = 0.8125 = 81.25% ≈ 81%.
Question 3: A city employee earning $52,800 per year receives a 4.5% raise. What is the new annual salary?
- $55,176 (Correct answer)
- $54,288
- $56,160
- $53,376
Correct answer: $55,176
$52,800 × 1.045 = $55,176.
Question 4: A building inspector can inspect 6 apartments per hour. A complex has 138 apartments. How many full 8-hour workdays does the inspection require?
- 3 days (Correct answer)
- 2 days
- 4 days
- 5 days
Correct answer: 3 days
Daily capacity = 6 × 8 = 48; 138 ÷ 48 = 2.875 → rounds up to 3 full workdays.
Question 5: A supply room has 12 reams of paper (500 sheets each). A department uses 150 sheets per day. How many days will the supply last?
- 40 days (Correct answer)
- 60 days
- 30 days
- 50 days
Correct answer: 40 days
Total sheets = 12 × 500 = 6,000; 6,000 ÷ 150 = 40 days.
Question 6: An agency's monthly expenses for January through June are $145,600; $138,200; $162,400; $141,000; $155,800; and $148,000. What is the average monthly expense?
- $148,500 (Correct answer)
- $145,600
- $152,000
- $150,000
Correct answer: $148,500
Sum = $891,000; average = $891,000 ÷ 6 = $148,500.
Question 7: A city clerk files 55 documents per hour. If she works 4 hours on Monday, 3 hours on Tuesday, and 5 hours on Wednesday, how many total documents does she file over those three days?
- 660 (Correct answer)
- 550
- 715
- 605
Correct answer: 660
Total hours = 4 + 3 + 5 = 12; 12 × 55 = 660 documents.
NYC Mathematical Reasoning and Number Facility 4
A police precinct has 5 patrol cars.
Each uses an average of 38 gallons of fuel per week at $3.85 per gallon.
What is the total fuel cost for all cars over a 4-week month?