ASVAB:ARITHMETIC REASONING|VERIFIED QUESTIONS AND CORRECT DETAILED
ANSWERS|RATED AND GRADED A+ NEW UPDATE| 2026/2027
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the
tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00 - ANSWER✔ C. Multiply 12 miles by $3.50 per mile:
12 × $3.50 = $42.00
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
(a) 31
(b) 33
(c) 35
(d) 36 - ANSWER✔ A. x + x + 8 = 70, solve for x.
x = 31
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how
long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days - ANSWER✔ D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days.
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she need to
score on her next test?
(a) 100
(b) 99
(c) 97
, (d) 95 - ANSWER✔ B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷ 5. Now solve for
x
A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food
in one evening, how much money in tips will she earn on average?
(a) $37
(b) $45
(c) $42
(d) $420 - ANSWER✔ B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine
the amount of tips:
$375 × 0.12 = $45
How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
(a) 24
(b) 120
(c) 48
(d) 144 - ANSWER✔ D. To determine square footage multiply length by width
12 × 12 = 144 sq feet
Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour
now?
(a) $0.57
(b) $8.90
(c) $8.72
(d) $13.85 - ANSWER✔ C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57. Then add that
to the original wage,
$8.15 + $0.57 = $8.72
Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her husband Dave
notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up
with Alice 3 hours after he leaves?
ANSWERS|RATED AND GRADED A+ NEW UPDATE| 2026/2027
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the
tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00 - ANSWER✔ C. Multiply 12 miles by $3.50 per mile:
12 × $3.50 = $42.00
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
(a) 31
(b) 33
(c) 35
(d) 36 - ANSWER✔ A. x + x + 8 = 70, solve for x.
x = 31
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how
long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days - ANSWER✔ D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days.
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she need to
score on her next test?
(a) 100
(b) 99
(c) 97
, (d) 95 - ANSWER✔ B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷ 5. Now solve for
x
A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food
in one evening, how much money in tips will she earn on average?
(a) $37
(b) $45
(c) $42
(d) $420 - ANSWER✔ B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine
the amount of tips:
$375 × 0.12 = $45
How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
(a) 24
(b) 120
(c) 48
(d) 144 - ANSWER✔ D. To determine square footage multiply length by width
12 × 12 = 144 sq feet
Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour
now?
(a) $0.57
(b) $8.90
(c) $8.72
(d) $13.85 - ANSWER✔ C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57. Then add that
to the original wage,
$8.15 + $0.57 = $8.72
Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her husband Dave
notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up
with Alice 3 hours after he leaves?
