ASVAB Study Guide 2027 | Practice Questions,
Correct Answers & Detailed Rationales | Complete
Exam
A truck travels 360 miles in 6 hours. What is its average speed?
A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph
Answer: B. 60 mph
Rationale:
Speed = distance ÷ time = 360 ÷ 6 = 60 mph.
2.
A worker earns $18 per hour and works 40 hours. What is the gross pay?
A. $620
B. $680
C. $720
D. $760
Answer: C. $720
Rationale:
18 × 40 = $720.
3.
A $200 item is discounted by 15%. What is the sale price?
A. $160
B. $170
C. $175
D. $185
Answer: B. $170
,Rationale:
15% of $200 = $30.
$200 − $30 = $170.
4.
A machine produces 240 parts in 8 hours. How many parts does it produce per hour?
A. 20
B. 25
C. 30
D. 35
Answer: C. 30
Rationale:
240 ÷ 8 = 30 parts/hour.
5.
A tank contains 120 gallons. If 25% is used, how many gallons remain?
A. 80
B. 90
C. 95
D. 100
Answer: B. 90
Rationale:
25% of 120 = 30.
120 − 30 = 90 gallons.
6.
A vehicle travels 45 miles per hour for 4 hours. What distance does it cover?
A. 160 miles
B. 170 miles
C. 180 miles
D. 190 miles
Answer: C. 180 miles
Rationale:
45 × 4 = 180 miles.
,7.
A class has 40 students. If 30% are absent, how many are present?
A. 12
B. 28
C. 30
D. 32
Answer: B. 28
Rationale:
30% of 40 = 12 absent.
40 − 12 = 28 present.
8.
A ratio of mechanics to operators is 3:5. If there are 24 mechanics, how many operators are
there?
A. 30
B. 36
C. 40
D. 45
Answer: C. 40
Rationale:
24 ÷ 3 = 8.
8 × 5 = 40 operators.
9.
A worker completes ⅔ of a job in 8 hours. At the same rate, how long will the entire job take?
A. 10 hours
B. 12 hours
C. 14 hours
D. 16 hours
Answer: B. 12 hours
Rationale:
If ⅔ requires 8 hours, the full job requires 8 × 3/2 = 12 hours.
10.
, A $1,500 loan has simple interest of 6% for 2 years. What is the interest?
A. $120
B. $150
C. $180
D. $200
Answer: C. $180
Rationale:
I = PRT = 1,500 × .06 × 2 = $180.
SECTION II — MATHEMATICS KNOWLEDGE
11.
Solve: 3x + 7 = 22.
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
Rationale:
3x = 15, so x = 5.
12.
What is ¾ + ⅛?
A. 5/8
B. 7/8
C. 9/8
D. 1
Answer: B. 7/8
Rationale:
¾ = 6/8.
6/8 + 1/8 = 7/8.
13.
Correct Answers & Detailed Rationales | Complete
Exam
A truck travels 360 miles in 6 hours. What is its average speed?
A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph
Answer: B. 60 mph
Rationale:
Speed = distance ÷ time = 360 ÷ 6 = 60 mph.
2.
A worker earns $18 per hour and works 40 hours. What is the gross pay?
A. $620
B. $680
C. $720
D. $760
Answer: C. $720
Rationale:
18 × 40 = $720.
3.
A $200 item is discounted by 15%. What is the sale price?
A. $160
B. $170
C. $175
D. $185
Answer: B. $170
,Rationale:
15% of $200 = $30.
$200 − $30 = $170.
4.
A machine produces 240 parts in 8 hours. How many parts does it produce per hour?
A. 20
B. 25
C. 30
D. 35
Answer: C. 30
Rationale:
240 ÷ 8 = 30 parts/hour.
5.
A tank contains 120 gallons. If 25% is used, how many gallons remain?
A. 80
B. 90
C. 95
D. 100
Answer: B. 90
Rationale:
25% of 120 = 30.
120 − 30 = 90 gallons.
6.
A vehicle travels 45 miles per hour for 4 hours. What distance does it cover?
A. 160 miles
B. 170 miles
C. 180 miles
D. 190 miles
Answer: C. 180 miles
Rationale:
45 × 4 = 180 miles.
,7.
A class has 40 students. If 30% are absent, how many are present?
A. 12
B. 28
C. 30
D. 32
Answer: B. 28
Rationale:
30% of 40 = 12 absent.
40 − 12 = 28 present.
8.
A ratio of mechanics to operators is 3:5. If there are 24 mechanics, how many operators are
there?
A. 30
B. 36
C. 40
D. 45
Answer: C. 40
Rationale:
24 ÷ 3 = 8.
8 × 5 = 40 operators.
9.
A worker completes ⅔ of a job in 8 hours. At the same rate, how long will the entire job take?
A. 10 hours
B. 12 hours
C. 14 hours
D. 16 hours
Answer: B. 12 hours
Rationale:
If ⅔ requires 8 hours, the full job requires 8 × 3/2 = 12 hours.
10.
, A $1,500 loan has simple interest of 6% for 2 years. What is the interest?
A. $120
B. $150
C. $180
D. $200
Answer: C. $180
Rationale:
I = PRT = 1,500 × .06 × 2 = $180.
SECTION II — MATHEMATICS KNOWLEDGE
11.
Solve: 3x + 7 = 22.
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
Rationale:
3x = 15, so x = 5.
12.
What is ¾ + ⅛?
A. 5/8
B. 7/8
C. 9/8
D. 1
Answer: B. 7/8
Rationale:
¾ = 6/8.
6/8 + 1/8 = 7/8.
13.
