ARITHMETIC REASONING ASVAB EXAM QUESTIONS AND
VERIFIED ANSWERS
A bread recipe calls for 3 1/4 cups of flour. If you only have 2 1/8 cups,
how much more flour is needed?
A. 1 1/8
B. 1 1/4
C. 1 3/8
D. 1 3/4 - ANSWER A. 1 1/8
A. 3 1/4 - 2 1/8= 13/4 - 17/8= 26/8 - 17/8 = 9/8 = 1 1/8 more cups of
flour.
How many omelets can be made from 2 dozen eggs if an omelet
contains 3 eggs?
A. 1
B. 3
C. 6
D. 8 - ANSWER D. 8
D. There are 24 eggs in 2 dozen eggs. If 3 eggs are in an omelet, then
24 ÷ 3, or 8 omelets, can be made.
Two runners finished a race in 80 seconds, another runner finished the
race in 72 seconds, and the final runner finished in 68 seconds. The
average of these times is
A. 73 seconds.
B. 74 seconds.
C. 75 seconds.
D. 76 seconds. - ANSWER C. 75 seconds.
C. Since two runners finished in 80 seconds, the average of 80, 80, 72,
and 68 must be found. This average is ? seconds.
If 400 people can be seated in eight subway cars, how many people can
be seated in five subway cars?
A. 200
,B. 250
C. 300
D. 350 - ANSWER B. 250
B. If 400 people fit in eight subway cars, then 400 ÷ 8, or 50, people fit in
one subway car. Therefore, 50 × 5, or 250, people fit in five subway
cars.
An employee earns $8.25 an hour. In 30 hours, what earnings has the
employee made?
A. $240.00
B. $247.50
C. $250.00
D. $255.75 - ANSWER B. $247.50
B. The earnings for 30 hours are $8.25 × 30 = $247.50.
There are 72 freshmen in the band. If freshmen make up 1/3 of the
entire band, the total number of students in the band is
A. 24
B. 72
C. 144
D. 216 - ANSWER D. 216
D. Let n represent the number of students in the band. Then 1/3n = 72,
so n = 72 × 3 = 216.
Dana receives $30 for her birthday and $15 for cleaning the garage. If
she spends $16 on a CD, how much money does she have left?
A. $29
B. $27
C. $14
D. $1 - ANSWER A. $29
A. Add the amount of money received and subtract the amount spent.
$30 + $15 - $16 = $29.
A television is on sale for 20% off. If the sale price is $800, what was the
original price?
, A. $160
B. $640
C. $960
D. $1,000 - ANSWER D. $1,000
D. If an item is discounted 20%, the sale price is 80% of the original
price. Let p represent the original price. Then $800 = 80% × p and p =
800/80% = 800/.80 = $1,000.
Staci earns $9.50 an hour plus 3% commission on all sales made. If her
total sales during a 30-hour work week were $500, how much did she
earn?
A. $15
B. $250
C. $285
D. $300 - ANSWER D. $300
D. For a 30-hour week with $500 in sales, total earnings are (30 × $9.50)
+ (3% × $500) = $285 + $15 = $300.
The area of one circle is four times as large as a smaller circle with a
radius of 3 inches. The radius of the larger circle is
A. 12 inches.
B. 9 inches.
C. 8 inches.
D. 6 inches. - ANSWER D. 6 inches.
D. The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area
of the larger circle is 4 × 9p = 36p. Therefore, r2 = 36, so r = √36 = 6.
The radius of the larger circle is 6.
You use a $20 bill to buy a magazine for $3.95. What change do you get
back?
A. $16.05
B. $16.95
C. $17.05
D. $17.95 - ANSWER A. $16.05
VERIFIED ANSWERS
A bread recipe calls for 3 1/4 cups of flour. If you only have 2 1/8 cups,
how much more flour is needed?
A. 1 1/8
B. 1 1/4
C. 1 3/8
D. 1 3/4 - ANSWER A. 1 1/8
A. 3 1/4 - 2 1/8= 13/4 - 17/8= 26/8 - 17/8 = 9/8 = 1 1/8 more cups of
flour.
How many omelets can be made from 2 dozen eggs if an omelet
contains 3 eggs?
A. 1
B. 3
C. 6
D. 8 - ANSWER D. 8
D. There are 24 eggs in 2 dozen eggs. If 3 eggs are in an omelet, then
24 ÷ 3, or 8 omelets, can be made.
Two runners finished a race in 80 seconds, another runner finished the
race in 72 seconds, and the final runner finished in 68 seconds. The
average of these times is
A. 73 seconds.
B. 74 seconds.
C. 75 seconds.
D. 76 seconds. - ANSWER C. 75 seconds.
C. Since two runners finished in 80 seconds, the average of 80, 80, 72,
and 68 must be found. This average is ? seconds.
If 400 people can be seated in eight subway cars, how many people can
be seated in five subway cars?
A. 200
,B. 250
C. 300
D. 350 - ANSWER B. 250
B. If 400 people fit in eight subway cars, then 400 ÷ 8, or 50, people fit in
one subway car. Therefore, 50 × 5, or 250, people fit in five subway
cars.
An employee earns $8.25 an hour. In 30 hours, what earnings has the
employee made?
A. $240.00
B. $247.50
C. $250.00
D. $255.75 - ANSWER B. $247.50
B. The earnings for 30 hours are $8.25 × 30 = $247.50.
There are 72 freshmen in the band. If freshmen make up 1/3 of the
entire band, the total number of students in the band is
A. 24
B. 72
C. 144
D. 216 - ANSWER D. 216
D. Let n represent the number of students in the band. Then 1/3n = 72,
so n = 72 × 3 = 216.
Dana receives $30 for her birthday and $15 for cleaning the garage. If
she spends $16 on a CD, how much money does she have left?
A. $29
B. $27
C. $14
D. $1 - ANSWER A. $29
A. Add the amount of money received and subtract the amount spent.
$30 + $15 - $16 = $29.
A television is on sale for 20% off. If the sale price is $800, what was the
original price?
, A. $160
B. $640
C. $960
D. $1,000 - ANSWER D. $1,000
D. If an item is discounted 20%, the sale price is 80% of the original
price. Let p represent the original price. Then $800 = 80% × p and p =
800/80% = 800/.80 = $1,000.
Staci earns $9.50 an hour plus 3% commission on all sales made. If her
total sales during a 30-hour work week were $500, how much did she
earn?
A. $15
B. $250
C. $285
D. $300 - ANSWER D. $300
D. For a 30-hour week with $500 in sales, total earnings are (30 × $9.50)
+ (3% × $500) = $285 + $15 = $300.
The area of one circle is four times as large as a smaller circle with a
radius of 3 inches. The radius of the larger circle is
A. 12 inches.
B. 9 inches.
C. 8 inches.
D. 6 inches. - ANSWER D. 6 inches.
D. The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area
of the larger circle is 4 × 9p = 36p. Therefore, r2 = 36, so r = √36 = 6.
The radius of the larger circle is 6.
You use a $20 bill to buy a magazine for $3.95. What change do you get
back?
A. $16.05
B. $16.95
C. $17.05
D. $17.95 - ANSWER A. $16.05
