FREE AFCT Arithmetic Reasoning 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?

Accepted Answer

87.5%

Answer

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?

Accepted Answer

6.5 hours

Answer

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?

Accepted Answer

38 cases

Answer

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?

Accepted Answer

16 vehicles

Answer

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?

Accepted Answer

58.5 pounds

Answer

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.

(AFCT) Armed Forces Classification Test Practice Test

(AFCT) Armed Forces Classification Test Practice Test

FREE AFCT Arithmetic Reasoning Questions and Answers