ASVAB Arithmetic Reasoning Word Problems 1 — Questions and Answers
Question 1: A soldier runs 3 miles in 24 minutes. At this rate, how many minutes would it take to run 5 miles?
- 40 minutes (Correct answer)
- 35 minutes
- 45 minutes
- 30 minutes
Correct answer: 40 minutes
The rate is 24 minutes ÷ 3 miles = 8 minutes per mile. For 5 miles: 5 × 8 = 40 minutes.
Question 2: A store offers a 25% discount on a jacket that originally costs $80. What is the sale price?
- $60 (Correct answer)
- $55
- $65
- $70
Correct answer: $60
The discount is 25% of $80 = 0.25 × $80 = $20. The sale price is $80 - $20 = $60.
Question 3: If a car uses 4 gallons of gas to travel 120 miles, how many gallons are needed to travel 300 miles?
- 10 gallons (Correct answer)
- 8 gallons
- 12 gallons
- 15 gallons
Correct answer: 10 gallons
The car gets 120 ÷ 4 = 30 miles per gallon. For 300 miles: 300 ÷ 30 = 10 gallons.
Question 4: A rectangular room measures 12 feet by 15 feet. What is the area of the room in square feet?
- 180 sq ft (Correct answer)
- 162 sq ft
- 150 sq ft
- 200 sq ft
Correct answer: 180 sq ft
Area of a rectangle = length × width = 12 × 15 = 180 square feet.
Question 5: Three friends split a restaurant bill of $87.60 equally. How much does each person pay?
- $29.20 (Correct answer)
- $28.50
- $29.50
- $30.00
Correct answer: $29.20
Each person pays $87.60 ÷ 3 = $29.20.
Question 6: A recruit completed 45 push-ups in 2 minutes. At this rate, how many push-ups could be completed in 5 minutes?
- 112.5 (Correct answer)
- 100
- 125
- 90
Correct answer: 112.5
Rate = 45 ÷ 2 = 22.5 push-ups per minute. In 5 minutes: 22.5 × 5 = 112.5 push-ups.
A soldier runs 3 miles in 24 minutes.
At this rate, how many minutes would it take to run 5 miles?