ASVAB: Arithmetic Reasoning
Questions and Answers 2022\2023
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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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?
(a) 49 mph
(b) 50.5 mph
(c) 52.5 mph
(d) 54 mph - Correct answer-C. distance = speed × time. First find how far Alice had
traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this
distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph
Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00,
but she was able to purchase the oil for $22.50 a case. How much money did Miriam
save on her entire purchase?
(a) $7.50
(b) $1.50
(c) $8.00
(d) $22.50 - Correct answer-A. Subtract the sale price from the original price, $24.00 −
$22.50 = $1.50. Now multiply that number by the amount of cases to get the final
answer $1.50 × 5 = $7.50
A security guard walks the equivalent of six city blocks when he makes a circuit around
the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it
take him to complete a circuit around the building, assuming he doesn't run into any
thieves?
(a) 20.00 minutes
(b) 3.75 minutes
(c) 22.50 minutes
Questions and Answers 2022\2023
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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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 - Correct 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?
(a) 49 mph
(b) 50.5 mph
(c) 52.5 mph
(d) 54 mph - Correct answer-C. distance = speed × time. First find how far Alice had
traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this
distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph
Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00,
but she was able to purchase the oil for $22.50 a case. How much money did Miriam
save on her entire purchase?
(a) $7.50
(b) $1.50
(c) $8.00
(d) $22.50 - Correct answer-A. Subtract the sale price from the original price, $24.00 −
$22.50 = $1.50. Now multiply that number by the amount of cases to get the final
answer $1.50 × 5 = $7.50
A security guard walks the equivalent of six city blocks when he makes a circuit around
the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it
take him to complete a circuit around the building, assuming he doesn't run into any
thieves?
(a) 20.00 minutes
(b) 3.75 minutes
(c) 22.50 minutes
