ASVAB Arithmetic Reasoning 3 — Questions and Answers
Question 1: A soldier earns $2,400 per month. If 15% is withheld for taxes, how much does the soldier take home each month?
- $2,040 (Correct answer)
- $1,980
- $2,100
- $1,920
Correct answer: $2,040
15% of $2,400 is $360, so $2,400 – $360 = $2,040 take-home pay.
Question 2: A truck travels 300 miles on 15 gallons of fuel. At the same fuel efficiency, how many gallons are needed to travel 500 miles?
- 25 gallons (Correct answer)
- 20 gallons
- 30 gallons
- 22 gallons
Correct answer: 25 gallons
Fuel efficiency is 300/15 = 20 mpg, so 500 ÷ 20 = 25 gallons needed.
Question 3: A rectangular field is 120 yards long and 80 yards wide. What is its area in square yards?
- 9,600 (Correct answer)
- 8,400
- 10,200
- 7,200
Correct answer: 9,600
Area = length × width = 120 × 80 = 9,600 square yards.
Question 4: If 5 soldiers can complete a task in 12 hours, how long would it take 10 soldiers working at the same rate?
- 6 hours (Correct answer)
- 8 hours
- 4 hours
- 10 hours
Correct answer: 6 hours
Doubling the workforce halves the time: 12 ÷ 2 = 6 hours.
Question 5: A store sells boots for $85. During a sale, the price is reduced by 20%. What is the sale price?
- $68 (Correct answer)
- $72
- $65
- $70
Correct answer: $68
20% of $85 is $17, so the sale price is $85 – $17 = $68.
Question 6: A tank holds 240 gallons and is currently 3/8 full. How many gallons are needed to fill it completely?
- 150 gallons (Correct answer)
- 90 gallons
- 120 gallons
- 160 gallons
Correct answer: 150 gallons
The tank has 3/8 × 240 = 90 gallons, so it needs 240 – 90 = 150 more gallons.
Question 7: A convoy travels at an average speed of 45 mph. How long will it take to travel 315 miles?
- 7 hours (Correct answer)
- 6 hours
- 8 hours
- 6.5 hours
Correct answer: 7 hours
Time = Distance ÷ Speed = 315 ÷ 45 = 7 hours.
ASVAB Arithmetic Reasoning 3
A soldier earns $2,400 per month.
If 15% is withheld for taxes, how much does the soldier take home each month?