AFQT Arithmetic Reasoning Word Problems — Questions and Answers
Question 1: A soldier runs 3 miles in 24 minutes. At this pace, how long would it take to run 5 miles?
- 40 minutes (Correct answer)
- 35 minutes
- 45 minutes
- 30 minutes
Correct answer: 40 minutes
Rate = 24 min / 3 miles = 8 min per mile. For 5 miles: 5 × 8 = 40 minutes. Set up a proportion: 24/3 = x/5, cross-multiply to get x = 40.
Question 2: A military unit needs 450 MREs (Meals Ready to Eat) per day. How many MREs are needed for a 14-day field exercise?
- 6,300 (Correct answer)
- 6,000
- 5,400
- 4,500
Correct answer: 6,300
Total MREs = 450 per day × 14 days = 6,300 MREs. This is a simple multiplication problem involving rate × time = total.
Question 3: A vehicle's fuel tank holds 25 gallons. If the vehicle gets 15 miles per gallon, what is the maximum distance it can travel on a full tank?
- 375 miles (Correct answer)
- 350 miles
- 400 miles
- 250 miles
Correct answer: 375 miles
Maximum distance = tank capacity × fuel efficiency = 25 gallons × 15 mpg = 375 miles.
Question 4: If 8 soldiers can complete a task in 6 hours, how many hours would it take 12 soldiers to complete the same task?
- 4 hours (Correct answer)
- 3 hours
- 9 hours
- 5 hours
Correct answer: 4 hours
Total work = 8 × 6 = 48 person-hours. With 12 soldiers: 48 ÷ 12 = 4 hours. This is an inverse proportion: more workers means less time.
Question 5: A recruit's scores on four fitness tests were 85, 92, 78, and 89. What score is needed on the fifth test to achieve an average of 88?
- 96 (Correct answer)
- 88
- 92
- 90
Correct answer: 96
Target total = 88 × 5 = 440. Current total = 85 + 92 + 78 + 89 = 344. Needed score = 440 - 344 = 96.
Question 6: A supply depot receives a shipment of 1,200 uniforms. If 15% are found to be defective, how many uniforms are acceptable?
- 1,020 (Correct answer)
- 1,080
- 180
- 1,000
Correct answer: 1,020
Defective = 15% of 1,200 = 180. Acceptable = 1,200 - 180 = 1,020. Alternatively, 85% × 1,200 = 1,020.
AFQT Arithmetic Reasoning Word Problems
A soldier runs 3 miles in 24 minutes.
At this pace, how long would it take to run 5 miles?