Free AFCT Arithmetic Reasoning Questions and Answers 1 — Questions and Answers
Question 1: A recruit training platoon starts with 40 recruits. At the end of the first week, 5 recruits have dropped out. What percentage of the original platoon remains?
- 85%
- 87.5% (Correct answer)
- 90%
- 12.5%
Correct answer: 87.5%
First, calculate the number of recruits remaining: 40 - 5 = 35. To find the percentage, divide the number of remaining recruits by the original number and multiply by 100: (35 / 40) * 100 = 0.875 * 100 = 87.5%.
Question 2: A military convoy travels at an average speed of 50 miles per hour. How long will it take the convoy to travel 325 miles?
- 6 hours
- 7 hours
- 6.5 hours (Correct answer)
- 5.5 hours
Correct answer: 6.5 hours
To find the time, use the formula: Time = Distance / Speed. Time = 325 miles / 50 mph = 6.5 hours.
Question 3: A supply clerk is taking inventory. A case of MREs (Meals, Ready-to-Eat) contains 12 meals. If a company of 150 soldiers needs to be supplied with 3 MREs each, how many cases will the clerk need to order?
- 37.5 cases
- 450 cases
- 38 cases (Correct answer)
- 45 cases
Correct answer: 38 cases
First, calculate the total number of MREs needed: 150 soldiers * 3 MREs/soldier = 450 MREs. Next, divide the total number of MREs by the number of MREs per case: 450 MREs / 12 MREs/case = 37.5 cases. Since you cannot order half a case, the clerk must order up to the next whole number, which is 38 cases.
Question 4: A mechanic can service a vehicle in 45 minutes. If two mechanics are working together at this rate, which of the following represents the number of vehicles they can service in a 6-hour shift?
- 12 vehicles
- 8 vehicles
- 16 vehicles (Correct answer)
- 18 vehicles
Correct answer: 16 vehicles
First, convert the 6-hour shift to minutes: 6 hours * 60 minutes/hour = 360 minutes. One mechanic can service 360 / 45 = 8 vehicles in 6 hours. With two mechanics working, they can service 8 * 2 = 16 vehicles.
Question 5: A soldier's rucksack weighs 60 pounds. If the soldier adds a 2.5-pound sleeping bag and removes a 4-pound piece of equipment, what is the new weight of the rucksack?
- 61.5 pounds
- 58.5 pounds (Correct answer)
- 66.5 pounds
- 53.5 pounds
Correct answer: 58.5 pounds
Start with the initial weight, add the weight of the new item, and subtract the weight of the removed item. 60 + 2.5 - 4 = 58.5 pounds.
Question 6: If a map has a scale of 1 inch = 5 miles, how many inches on the map would represent a distance of 32.5 miles?
- 6 inches
- 5.5 inches
- 7 inches
- 6.5 inches (Correct answer)
Correct answer: 6.5 inches
To find the distance on the map, divide the actual distance by the scale factor: 32.5 miles / 5 miles/inch = 6.5 inches.
Free AFCT Arithmetic Reasoning Questions and Answers 1
A recruit training platoon starts with 40 recruits.
At the end of the first week, 5 recruits have dropped out.
What percentage of the original platoon remains?