NYC Mathematical Reasoning Problems 2 — Questions and Answers
Question 1: A city sanitation worker collects refuse from 48 buildings on a route. If 3/8 of the buildings have recycling, how many buildings have recycling?
- 16
- 18 (Correct answer)
- 20
- 24
Correct answer: 18
3/8 × 48 = 18 buildings have recycling.
Question 2: A clerk earns $52,416 per year. What is the clerk's weekly salary?
- $984.92
- $1,008.00 (Correct answer)
- $1,046.32
- $1,092.00
Correct answer: $1,008.00
$52,416 ÷ 52 weeks = $1,008.00 per week.
Question 3: A police precinct has 240 officers. If 15% are on leave, how many officers are currently on duty?
- 24
- 36
- 196
- 204 (Correct answer)
Correct answer: 204
15% of 240 = 36 on leave; 240 − 36 = 204 on duty.
Question 4: If a water pipe delivers 45 gallons per minute, how many gallons will it deliver in 2 hours and 20 minutes?
- 4,500
- 5,400
- 6,300 (Correct answer)
- 6,750
Correct answer: 6,300
2 hr 20 min = 140 minutes; 140 × 45 = 6,300 gallons.
Question 5: A storage room measures 18 feet by 12 feet. If 1/3 of the floor is occupied by shelving, how many square feet are available?
- 72
- 108
- 144 (Correct answer)
- 216
Correct answer: 144
Total area = 216 sq ft; 1/3 = 72 sq ft for shelving; 216 − 72 = 144 sq ft available.
Question 6: Four city workers can complete a job in 6 days. How many days would it take 8 workers to complete the same job?
- 2
- 3 (Correct answer)
- 4
- 12
Correct answer: 3
Doubling the workers halves the time: 6 ÷ 2 = 3 days.
Question 7: A bus traveled 156 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
- 208
- 240
- 260 (Correct answer)
- 312
Correct answer: 260
Rate = 52 mph; 52 × 5 = 260 miles.
NYC Mathematical Reasoning Problems 2
A city sanitation worker collects refuse from 48 buildings on a route.
If 3/8 of the buildings have recycling, how many buildings have recycling?