NYC Mathematical Reasoning Problems 4 — Questions and Answers
Question 1: A city vehicle used 18 gallons of fuel to travel 414 miles. What was the vehicle's fuel efficiency in miles per gallon?
- 21 mpg
- 23 mpg (Correct answer)
- 25 mpg
- 27 mpg
Correct answer: 23 mpg
414 ÷ 18 = 23 miles per gallon.
Question 2: A department receives 560 applications. After screening, 35% are rejected. How many applications advance?
- 196
- 364 (Correct answer)
- 392
- 420
Correct answer: 364
35% of 560 = 196 rejected; 560 − 196 = 364 advance.
Question 3: If overtime pay is 1.5 times the regular hourly rate of $22.40, what is the overtime rate?
- $31.60
- $33.60 (Correct answer)
- $34.80
- $36.00
Correct answer: $33.60
$22.40 × 1.5 = $33.60 per hour overtime.
Question 4: A rectangular office is 24 feet long and 15 feet wide. New carpet costs $4.50 per square foot. What is the total carpet cost?
- $1,440
- $1,512
- $1,620 (Correct answer)
- $1,800
Correct answer: $1,620
Area = 24 × 15 = 360 sq ft; 360 × $4.50 = $1,620.
Question 5: In a group of 180 civil service applicants, the ratio of male to female applicants is 5:4. How many female applicants are there?
- 72
- 80 (Correct answer)
- 90
- 100
Correct answer: 80
Total parts = 9; female = 4/9 × 180 = 80.
Question 6: A clerk processes 24 forms per hour. How many forms will be processed during a 7.5-hour shift?
- 156
- 168
- 180 (Correct answer)
- 192
Correct answer: 180
24 × 7.5 = 180 forms.
Question 7: A city project was estimated to cost $125,000 but came in 12% over budget. What was the actual cost?
- $137,000
- $140,000 (Correct answer)
- $142,500
- $143,000
Correct answer: $140,000
12% of $125,000 = $15,000; $125,000 + $15,000 = $140,000.
NYC Mathematical Reasoning Problems 4
A city vehicle used 18 gallons of fuel to travel 414 miles.
What was the vehicle's fuel efficiency in miles per gallon?