NYC Mathematical Reasoning 2 — Questions and Answers
Question 1: A sanitation worker collects trash from 4 routes per week. Route A takes 3.5 hours, Route B takes 2.75 hours, Route C takes 4 hours, and Route D takes 3.25 hours. How many total hours does the worker spend on all routes per week?
- 13.5 hours (Correct answer)
- 13 hours
- 14 hours
- 12.75 hours
Correct answer: 13.5 hours
3.5 + 2.75 + 4 + 3.25 = 13.5 hours total.
Question 2: A city department has a budget of $48,000. It spends 35% on salaries, 25% on equipment, and 20% on supplies. How much of the budget remains unspent?
- $9,600 (Correct answer)
- $12,000
- $8,400
- $10,800
Correct answer: $9,600
35 + 25 + 20 = 80% spent; 20% remains: 0.20 × $48,000 = $9,600.
Question 3: A clerk processes 15 applications per hour. If she works 7.5 hours and takes a 45-minute lunch break, how many applications does she process in one workday?
- 101 (Correct answer)
- 112
- 97
- 120
Correct answer: 101
7.5 hours – 0.75 hours = 6.75 working hours; 6.75 × 15 = 101.25, rounded down to 101.
Question 4: A city vehicle travels 240 miles on 12 gallons of fuel. At this rate, how many gallons are needed for a 400-mile trip?
- 20 gallons (Correct answer)
- 18 gallons
- 22 gallons
- 16 gallons
Correct answer: 20 gallons
Fuel efficiency = 240 ÷ 12 = 20 mpg; gallons needed = 400 ÷ 20 = 20 gallons.
Question 5: A civil service exam has 80 questions. Passing requires answering at least 70% correctly. What is the minimum number of correct answers needed to pass?
- 56 (Correct answer)
- 60
- 54
- 58
Correct answer: 56
70% of 80 = 0.70 × 80 = 56 correct answers needed.
Question 6: An inspector visits 3 buildings on Monday, 5 on Tuesday, 2 on Wednesday, 6 on Thursday, and 4 on Friday. What is the average number of buildings inspected per day?
- 4 (Correct answer)
- 3.5
- 5
- 4.5
Correct answer: 4
Total = 3 + 5 + 2 + 6 + 4 = 20; average = 20 ÷ 5 = 4 buildings per day.
Question 7: A municipal water tank holds 15,000 gallons. It is currently 40% full. How many more gallons must be added to bring it to 85% capacity?
- 6,750 gallons (Correct answer)
- 7,500 gallons
- 5,250 gallons
- 8,000 gallons
Correct answer: 6,750 gallons
85% – 40% = 45% more needed; 0.45 × 15,000 = 6,750 gallons.
NYC Mathematical Reasoning 2
A sanitation worker collects trash from 4 routes per week.
Route A takes 3.5 hours, Route B takes 2.75 hours, Route C takes 4 hours, and Route D takes 3.25 hours.
How many total hours does the worker spend on all routes per week?