ASVAB - ARITHMETIC REASONING EXAM 2024
QUESTIONS WITH VERIFIED SOLUTIONS
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? - CORRECT
ANSWER A. $29
B. $27
C. $24
D. $12
(A) Add the amount of money received and subtract the amount spent. $30 +
$15 - $16 = $29.
In a manufacturing plant that produces new computers, a 0.15 probability
exists that a computer will be defective. If five computers are manufactured,
what's the probability that all of them will be defective? - CORRECT
ANSWER A. 7.6
B. 0.60
C. 0.000076
D. 0.00042
(C) The probability that all five computers will be defective is 0.15 × 0.15 ×
0.15 × 0.15 × 0.15 = 0.0000759 (round up to 0.000076).
A house contains one 12-foot-×-14-foot bedroom, one 12-foot-×-10-foot
bedroom, and one 8-foot-×-12-foot bedroom. What's the total amount of
carpeting needed to carpet all three bedrooms? - CORRECT ANSWER A.
384 square yards
,ASVAB - ARITHMETIC REASONING EXAM 2024
QUESTIONS WITH VERIFIED SOLUTIONS
B. 42 2/3 square yards
C. 216 square yards
D. 88 square yards
(B) Find the area of each bedroom and add them together: 12 × 14 = 168; 12 ×
10 = 120; 8 × 12 = 96. 168 + 120 + 96 = 384 square feet. Then, because 9
square feet make up a square yard, divide the total area in square feet by 9 to
determine the number of square yards needed: 384 ÷ 9 = 42 2/3 square yards.
If 4 people can run 8 machines, how many machines can 2 people run? -
CORRECT ANSWER A. 2
B. 1
C. 4
D. 3
(C) Two people is 1⁄2 as many as 4 people: 2 ÷ 4 = 1⁄2. Multiply the number of
machines 4 people can run by 1⁄2 to determine how many machines 2 people
can run: 8 × 1⁄2 = 4.
The product of two consecutive odd numbers is 399. What are the numbers? -
CORRECT ANSWER A. 17 and 19
B. 19 and 21
C. 21 and 23
D. 25 and 27
, ASVAB - ARITHMETIC REASONING EXAM 2024
QUESTIONS WITH VERIFIED SOLUTIONS
The fastest way to solve this would be to simply multiply the possible choices
together (19 × 21 = 399). You can also solve this with algebra. Let x equal the
first number and x + 2 the second number.
x(x + 2) = 399
x^2 + 2x = 399 (Note: This is a quadratic equation that can be solved by
setting it equal to zero and factoring.)
x^2 + 2x - 399 = 0
(x - 19)(x + 21) = 0
x - 19 = 0
x + 21 = 0
x = 19
x = -21
x + 2 = 21
x + 2 = -19
(B) Two solutions are possible: 19 and 21, and -21 and -19. Because the latter
pair isn't one of the answer choices, the first pair is the correct answer.
A bricklayer charges $8 per square foot to lay a patio. How much would it
cost for the bricklayer to lay a 12-foot-×-16-foot patio? - CORRECT
ANSWER A. $960
B. $192
C. $224
D. $1536
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