ASVAB Exam 2027 | Practice Questions & Correct
Answers | Complete Armed Services Vocational
Aptitude Battery Study Guide
1. Arithmetic Reasoning
A mechanic earns $18 per hour and works 35 hours in one week. How much does the mechanic
earn before deductions?
A. $580
B. $600
C. $630
D. $650
Correct Answer: C. $630
Rationale:
Multiply the hourly wage by the number of hours:
18 × 35 = 630
Therefore, the mechanic earns $630.
2. Arithmetic Reasoning
A warehouse has 48 boxes. If 3/4 of the boxes are shipped, how many boxes are shipped?
A. 24
B. 30
C. 36
D. 42
Correct Answer: C. 36
Rationale:
Calculate 3/4 of 48:
48 ÷ 4 = 12
12 × 3 = 36
,3. Arithmetic Reasoning
A vehicle travels 270 miles in 5 hours. What is its average speed?
A. 45 mph
B. 50 mph
C. 54 mph
D. 60 mph
Correct Answer: C. 54 mph
Rationale:
Average speed = distance ÷ time.
270 ÷ 5 = 54 mph
4. Mathematics Knowledge
Solve for x:
5x − 7 = 28
A. 5
B. 6
C. 7
D. 8
Correct Answer: C. 7
Rationale:
Add 7 to both sides:
5x = 35
Divide by 5:
x=7
5. Arithmetic Reasoning
A tool costs $240 and is discounted by 15%. What is the sale price?
A. $196
B. $204
,C. $210
D. $216
Correct Answer: B. $204
Rationale:
First calculate the discount:
15% of $240 = 0.15 × 240 = $36
Subtract the discount:
$240 − $36 = $204
6. Mathematics Knowledge
What is the value of:
2³ + 4²
A. 20
B. 24
C. 28
D. 32
Correct Answer: B. 24
Rationale:
2³ = 8
4² = 16
8 + 16 = 24
7. Arithmetic Reasoning
A machine produces 72 parts in 8 hours. At the same rate, how many parts will it produce in 12
hours?
A. 96
B. 100
C. 108
D. 120
, Correct Answer: C. 108
Rationale:
Hourly production:
72 ÷ 8 = 9 parts/hour
For 12 hours:
9 × 12 = 108 parts
8. Mathematics Knowledge
What is the area of a rectangle measuring 12 feet by 7 feet?
A. 72 square feet
B. 84 square feet
C. 96 square feet
D. 108 square feet
Correct Answer: B. 84 square feet
Rationale:
Area of a rectangle:
A = length × width
A = 12 × 7 = 84 square feet
9. Arithmetic Reasoning
A tank contains 160 gallons of water. If 3/8 of the water is used, how much remains?
A. 80 gallons
B. 90 gallons
C. 100 gallons
D. 120 gallons
Correct Answer: C. 100 gallons
Rationale:
If 3/8 is used, then:
1 − 3/8 = 5/8 remaining
Answers | Complete Armed Services Vocational
Aptitude Battery Study Guide
1. Arithmetic Reasoning
A mechanic earns $18 per hour and works 35 hours in one week. How much does the mechanic
earn before deductions?
A. $580
B. $600
C. $630
D. $650
Correct Answer: C. $630
Rationale:
Multiply the hourly wage by the number of hours:
18 × 35 = 630
Therefore, the mechanic earns $630.
2. Arithmetic Reasoning
A warehouse has 48 boxes. If 3/4 of the boxes are shipped, how many boxes are shipped?
A. 24
B. 30
C. 36
D. 42
Correct Answer: C. 36
Rationale:
Calculate 3/4 of 48:
48 ÷ 4 = 12
12 × 3 = 36
,3. Arithmetic Reasoning
A vehicle travels 270 miles in 5 hours. What is its average speed?
A. 45 mph
B. 50 mph
C. 54 mph
D. 60 mph
Correct Answer: C. 54 mph
Rationale:
Average speed = distance ÷ time.
270 ÷ 5 = 54 mph
4. Mathematics Knowledge
Solve for x:
5x − 7 = 28
A. 5
B. 6
C. 7
D. 8
Correct Answer: C. 7
Rationale:
Add 7 to both sides:
5x = 35
Divide by 5:
x=7
5. Arithmetic Reasoning
A tool costs $240 and is discounted by 15%. What is the sale price?
A. $196
B. $204
,C. $210
D. $216
Correct Answer: B. $204
Rationale:
First calculate the discount:
15% of $240 = 0.15 × 240 = $36
Subtract the discount:
$240 − $36 = $204
6. Mathematics Knowledge
What is the value of:
2³ + 4²
A. 20
B. 24
C. 28
D. 32
Correct Answer: B. 24
Rationale:
2³ = 8
4² = 16
8 + 16 = 24
7. Arithmetic Reasoning
A machine produces 72 parts in 8 hours. At the same rate, how many parts will it produce in 12
hours?
A. 96
B. 100
C. 108
D. 120
, Correct Answer: C. 108
Rationale:
Hourly production:
72 ÷ 8 = 9 parts/hour
For 12 hours:
9 × 12 = 108 parts
8. Mathematics Knowledge
What is the area of a rectangle measuring 12 feet by 7 feet?
A. 72 square feet
B. 84 square feet
C. 96 square feet
D. 108 square feet
Correct Answer: B. 84 square feet
Rationale:
Area of a rectangle:
A = length × width
A = 12 × 7 = 84 square feet
9. Arithmetic Reasoning
A tank contains 160 gallons of water. If 3/8 of the water is used, how much remains?
A. 80 gallons
B. 90 gallons
C. 100 gallons
D. 120 gallons
Correct Answer: C. 100 gallons
Rationale:
If 3/8 is used, then:
1 − 3/8 = 5/8 remaining
