NYC Mathematical Reasoning Problems 3 — Questions and Answers
Question 1: A department budget of $84,000 is divided among 4 units in a ratio of 3:2:2:1. How much does the largest unit receive?
- $21,000
- $28,000
- $31,500 (Correct answer)
- $42,000
Correct answer: $31,500
Total parts = 8; largest unit = 3/8 × $84,000 = $31,500.
Question 2: An inspector checks 7 buildings per day. At this rate, how many buildings will be inspected in 4 weeks (5 working days per week)?
- 100
- 120
- 140 (Correct answer)
- 196
Correct answer: 140
4 weeks × 5 days = 20 days; 20 × 7 = 140 buildings.
Question 3: If a city employee's salary increased from $48,000 to $52,800, what was the percentage increase?
- 8%
- 9%
- 10% (Correct answer)
- 12%
Correct answer: 10%
Increase = $4,800; $4,800 ÷ $48,000 × 100 = 10%.
Question 4: A rectangular park is 320 meters long and 175 meters wide. What is the perimeter of the park?
- 495 m
- 880 m
- 990 m (Correct answer)
- 1,120 m
Correct answer: 990 m
Perimeter = 2 × (320 + 175) = 2 × 495 = 990 meters.
Question 5: A firefighter used 2,400 liters of water to extinguish a fire. If the truck's tank holds 3,200 liters, what fraction of the tank remains?
- 1/4 (Correct answer)
- 1/3
- 3/8
- 5/8
Correct answer: 1/4
Remaining = 3,200 − 2,400 = 800 liters; 800/3,200 = 1/4.
Question 6: A supply order costs $3.75 per item. A department orders 144 items. What is the total cost?
- $504.00
- $520.00
- $540.00 (Correct answer)
- $560.00
Correct answer: $540.00
144 × $3.75 = $540.00.
Question 7: A typist can type 65 words per minute. How long will it take to type a 2,275-word document?
- 30 minutes
- 35 minutes (Correct answer)
- 40 minutes
- 45 minutes
Correct answer: 35 minutes
2,275 ÷ 65 = 35 minutes.
NYC Mathematical Reasoning Problems 3
A department budget of $84,000 is divided among 4 units in a ratio of 3:2:2:1.
How much does the largest unit receive?