USMC ASVAB Arithmetic Reasoning
Final Exam 2025 | All Questions &
Answers (Rated A+)
From 1980 through 1990, the population of country X increased by 100%. From 1990 to
2000, the population increased by 50%. What was the combined increase for the period
1980-2000? - ANSWER - 200%
If a worker earns $200 for the first 40 hours of work in a week and then is paid one-and-
one half times her regular rate for any additional hours, how many hours must she work
to make $230 in a week? - ANSWER - 44
If 50% of x is 150, what is 75% of x? - ANSWER - 225
The total fare for two adults and three children on an excursion boat is $14.If each
child's fare is one half of each adult's fare, what is the adult fare? - ANSWER - $4.00
What is the prime factorization of 140? - ANSWER - 2 x 2 x 5 x 7
A painter charges $12 an hour while his son charges $6 an hour. If the father and son
worked the same amount of time together on a job, how many hours did each of them
work if their combined charge for their labor was $108? - ANSWER - 6
4! = - ANSWER - 24
At garage A, it costs $8.75 to park a car for the first hour and $1.25 for each additional
hour. At garage B, it costs $5.50 to park a car for the first hour and $2.50 for each
additional hour. What is the difference between the costs of parking a car for 5 hours at
garage A and parking it for the same length of time at garage B? - ANSWER - $1.75
Jan types at an average rate of 12 pages per hour. At that rate, how long will it take Jan
to type 100 pages? - ANSWER - 8 hours and 20 minutes
Two large sodas contain the same amount as three medium sodas. Two medium soda
contain the same amount as three small sodas. How many small sodas contain the
same amount as eight large sodas? - ANSWER - 18
If each digit 5 in the number 258,546 is replaced with the digit 7, by how much will the
number be increased? - ANSWER - 20,200
Micheal bought 2 1/4 pounds of lumber at $4.00 per pound. If a 7% sales tax was
added, how much did Micheal pay? - ANSWER - $9.63
, The ratio of 3 1/4 to 5 2/4 is equivalent to the ratio of - ANSWER - 13 to 21
A cat is fed 3/8 of a pound of cat food everyday. For how many days will 72 pounds of
his cat food feed the cat? - ANSWER - 192
After spending 5/12 of her salary , Eva has $420 left. What is her salary? - ANSWER -
$720
A stock decreases in value by 20%. By what percent must the stock price increase to
reach its former value? - ANSWER - 25%
Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same
driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the
driveway if they work together? - ANSWER - 14
June's weekly salary is $70 less than Kelly's , which is $50 more than Eileen's. If Eileen
earns $280 per week, how much does June earn per week? - ANSWER - $260
A physician advises a patient to take a two-pill dosage of an over the counter fever
reducer every three hours. If the patient follows these instructions had has a bottle
containing 160 pills, how many days before the patient will have to buy more pills?
(A) 8
(B) 20
(C) 10
(D) 24 - ANSWER - A-1
(C) To obtain the correct answer, 10 days, divide the number hours in a day by the
number of times the medication is to be take a day: 24/3=8. Multiply that number by the
amount of pills per dosage to determine the amount of pills taken each day, 8*2=16.
The total number of pills in the bottle is 160. Divide that number by the number of pills
taken each day: 160/16=10.
Cpl. Johnson is nervous about her upcoming qualifying exam. In order to pass the test,
she must answer 35 out of 50 questions correctly. Represented as a percentage, what
minimum grade does she need to get on the test in order to pass?
(A) 75%
(B) 70%
(C) 65%
(D) 80% - ANSWER - A-2
(B) Divide 35 by 50 to get .7, the multiply by 100 to get 70%. Do not be fooled by the
fact that 65% is frequently a passing grade! The other choices are incorrect.
A cosmetics rep. travels 800 miles during a 36 hour workweek. If she spends 1/4 of her
time on the road visiting customers, how many hours per workweek does she spend in
the office?
(A) 9
Final Exam 2025 | All Questions &
Answers (Rated A+)
From 1980 through 1990, the population of country X increased by 100%. From 1990 to
2000, the population increased by 50%. What was the combined increase for the period
1980-2000? - ANSWER - 200%
If a worker earns $200 for the first 40 hours of work in a week and then is paid one-and-
one half times her regular rate for any additional hours, how many hours must she work
to make $230 in a week? - ANSWER - 44
If 50% of x is 150, what is 75% of x? - ANSWER - 225
The total fare for two adults and three children on an excursion boat is $14.If each
child's fare is one half of each adult's fare, what is the adult fare? - ANSWER - $4.00
What is the prime factorization of 140? - ANSWER - 2 x 2 x 5 x 7
A painter charges $12 an hour while his son charges $6 an hour. If the father and son
worked the same amount of time together on a job, how many hours did each of them
work if their combined charge for their labor was $108? - ANSWER - 6
4! = - ANSWER - 24
At garage A, it costs $8.75 to park a car for the first hour and $1.25 for each additional
hour. At garage B, it costs $5.50 to park a car for the first hour and $2.50 for each
additional hour. What is the difference between the costs of parking a car for 5 hours at
garage A and parking it for the same length of time at garage B? - ANSWER - $1.75
Jan types at an average rate of 12 pages per hour. At that rate, how long will it take Jan
to type 100 pages? - ANSWER - 8 hours and 20 minutes
Two large sodas contain the same amount as three medium sodas. Two medium soda
contain the same amount as three small sodas. How many small sodas contain the
same amount as eight large sodas? - ANSWER - 18
If each digit 5 in the number 258,546 is replaced with the digit 7, by how much will the
number be increased? - ANSWER - 20,200
Micheal bought 2 1/4 pounds of lumber at $4.00 per pound. If a 7% sales tax was
added, how much did Micheal pay? - ANSWER - $9.63
, The ratio of 3 1/4 to 5 2/4 is equivalent to the ratio of - ANSWER - 13 to 21
A cat is fed 3/8 of a pound of cat food everyday. For how many days will 72 pounds of
his cat food feed the cat? - ANSWER - 192
After spending 5/12 of her salary , Eva has $420 left. What is her salary? - ANSWER -
$720
A stock decreases in value by 20%. By what percent must the stock price increase to
reach its former value? - ANSWER - 25%
Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same
driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the
driveway if they work together? - ANSWER - 14
June's weekly salary is $70 less than Kelly's , which is $50 more than Eileen's. If Eileen
earns $280 per week, how much does June earn per week? - ANSWER - $260
A physician advises a patient to take a two-pill dosage of an over the counter fever
reducer every three hours. If the patient follows these instructions had has a bottle
containing 160 pills, how many days before the patient will have to buy more pills?
(A) 8
(B) 20
(C) 10
(D) 24 - ANSWER - A-1
(C) To obtain the correct answer, 10 days, divide the number hours in a day by the
number of times the medication is to be take a day: 24/3=8. Multiply that number by the
amount of pills per dosage to determine the amount of pills taken each day, 8*2=16.
The total number of pills in the bottle is 160. Divide that number by the number of pills
taken each day: 160/16=10.
Cpl. Johnson is nervous about her upcoming qualifying exam. In order to pass the test,
she must answer 35 out of 50 questions correctly. Represented as a percentage, what
minimum grade does she need to get on the test in order to pass?
(A) 75%
(B) 70%
(C) 65%
(D) 80% - ANSWER - A-2
(B) Divide 35 by 50 to get .7, the multiply by 100 to get 70%. Do not be fooled by the
fact that 65% is frequently a passing grade! The other choices are incorrect.
A cosmetics rep. travels 800 miles during a 36 hour workweek. If she spends 1/4 of her
time on the road visiting customers, how many hours per workweek does she spend in
the office?
(A) 9
