Numerical Reasoning Word Problems and Applied Arithmetic 1 — Questions and Answers
Question 1: A car travels 270 miles on 9 gallons of gas. How many miles per gallon does it get?
- 30 mpg (Correct answer)
- 27 mpg
- 25 mpg
- 33 mpg
Correct answer: 30 mpg
Fuel efficiency = 270 miles ÷ 9 gallons = 30 mpg.
Question 2: A worker earns $18.50 per hour and works 8 hours a day, 5 days a week. What is the weekly gross pay?
- $740 (Correct answer)
- $720
- $760
- $800
Correct answer: $740
Weekly pay = $18.50 × 8 × 5 = $18.50 × 40 = $740.
Question 3: A conference room can seat 240 people. If each table seats 8 people, how many tables are needed?
- 30 (Correct answer)
- 25
- 35
- 28
Correct answer: 30
Tables needed = 240 ÷ 8 = 30 tables.
Question 4: A box contains 480 items. If 12.5% are defective, how many items are not defective?
- 420 (Correct answer)
- 60
- 400
- 440
Correct answer: 420
Defective = 0.125 × 480 = 60; non-defective = 480 − 60 = 420.
Question 5: A project requires 3 workers 12 days to complete. How many days would 4 workers take to complete the same project?
- 9 days (Correct answer)
- 8 days
- 10 days
- 6 days
Correct answer: 9 days
Total work = 3 × 12 = 36 worker-days; with 4 workers: 36 ÷ 4 = 9 days.
Question 6: Train A leaves at 9:00 AM traveling 60 mph. Train B leaves the same station at 10:00 AM traveling 80 mph in the same direction. At what time will Train B catch Train A?
- 1:00 PM (Correct answer)
- 12:00 PM
- 2:00 PM
- 11:00 AM
Correct answer: 1:00 PM
At 10 AM, Train A has a 60-mile lead; closing speed = 80−60 = 20 mph; time to close = 60÷20 = 3 hours; 10 AM + 3 hours = 1:00 PM.
Numerical Reasoning Word Problems and Applied Arithmetic 1
A car travels 270 miles on 9 gallons of gas.
How many miles per gallon does it get?