APT APT Mathematics and Quantitative Reasoning 3

Question 1

A soldier completes a 5-mile run in 40 minutes. How many minutes per mile is his pace?

Accepted Answer

8 min/mile

Answer

Pace = total time ÷ distance = 40 ÷ 5 = 8 minutes per mile.

Question 2

A truck can carry 2.5 tons of cargo. How many trips are needed to transport 15 tons?

Accepted Answer

6 trips

Answer

15 ÷ 2.5 = 6 trips.

Question 3

Solve for x: 4x − 8 = 20

Accepted Answer

x = 7

Answer

4x = 28; x = 7.

Question 4

A map scale is 1 inch = 50 miles. If two bases are 7 inches apart on the map, what is the actual distance?

Accepted Answer

350 miles

Answer

7 inches × 50 miles/inch = 350 miles.

Question 5

If ammunition costs $12 per box and the Army orders 2,500 boxes, what is the total cost?

Accepted Answer

$30,000

Answer

2,500 × $12 = $30,000.

APT - Army Personnel Testing Practice Test