APT APT Mathematics and Quantitative Reasoning 2 — Questions and Answers
Question 1: A soldier earns $2,400 per month. If 20% is withheld for taxes and benefits, what is the take-home pay?
- $1,760
- $1,880
- $1,920 (Correct answer)
- $2,000
Correct answer: $1,920
20% withheld = $480; take-home = $2,400 − $480 = $1,920.
Question 2: If a military vehicle travels at 45 mph, how far will it travel in 2.5 hours?
- 100 miles
- 112.5 miles (Correct answer)
- 115 miles
- 120 miles
Correct answer: 112.5 miles
Distance = speed × time = 45 × 2.5 = 112.5 miles.
Question 3: A unit of 120 soldiers is split into squads of 8. How many squads are formed?
- 12
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
120 ÷ 8 = 15 squads.
Question 4: Which number is NOT a prime number?
- 17
- 19
- 21 (Correct answer)
- 23
Correct answer: 21
21 = 3 × 7, so it is not a prime number.
Question 5: A field measures 450 meters by 300 meters. What is its area in square meters?
- 100,500 m²
- 125,000 m²
- 135,000 m² (Correct answer)
- 150,000 m²
Correct answer: 135,000 m²
Area = length × width = 450 × 300 = 135,000 m².
Question 6: If the ratio of officers to enlisted soldiers in a battalion is 1:9 and there are 450 enlisted soldiers, how many officers are there?
- 40
- 45
- 50 (Correct answer)
- 55
Correct answer: 50
Ratio 1:9 means for every 9 enlisted there is 1 officer; 450 ÷ 9 = 50 officers.
A soldier earns $2,400 per month.
If 20% is withheld for taxes and benefits, what is the take-home pay?