APT APT Mathematics and Quantitative Reasoning

Question 1

A soldier travels 240 miles in 4 hours. What is the average speed in miles per hour?

Accepted Answer

60 mph

Answer

Average speed = total distance ÷ total time = 240 ÷ 4 = 60 mph.

Question 2

A supply depot has 3,500 rations. If 875 rations are distributed each day, how many days will the supply last?

Accepted Answer

4 days

Answer

3,500 ÷ 875 = 4 days.

Question 3

If a military base uses 1,200 gallons of fuel per week, how many gallons are used in 30 days?

Accepted Answer

5,100 gallons

Answer

30 days = 4.286 weeks; 1,200 × (30/7) ≈ 5,142 ≈ 5,100 gallons (30 days ÷ 7 days × 1,200 = 5,142.86, closest answer is 5,100).

Question 4

A recruiter needs to interview 48 candidates. If she can interview 6 per day, in how many days will she finish?

Accepted Answer

8 days

Answer

48 ÷ 6 = 8 days.

Question 5

If 15% of 200 soldiers passed an advanced fitness test, how many soldiers passed?

Accepted Answer

30

Answer

15% of 200 = 0.15 × 200 = 30 soldiers.

APT - Army Personnel Testing Practice Test