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ASVAB PRACTICE TEST 3 - ARITHMETIC REASONING
Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -30 Questions and Answers
-Format: Multiple-choice / Flashcard
Question 1: 17: Kelly bought a painting at an antiques sale for $500 and the following day she was able to sell it for an additional $30. What percentage of the sale price was her profit?
Answer:
- 5%
- 6%
- 7%
- 4%
Divide $30 by $530 ($500 + $30) to determine the percentage of the sale price that the profit comprised:
30 ÷ 530 = 0.056 = 6%.
Question 2: 16: A 3-yard-long ribbon was used to trim four dresses. Each dress used the same amount of ribbon. How much ribbon was used for each dress?
Answer:
- 1 yard
- 2?3 yard
- 1?2 yard
- 3?4 yard
Divide the amount of ribbon (in yards) used by the number of dresses to determine how much ribbon (in yards) was used in each dress: 3 ÷ 4 = 3?4. Three-quarters of a yard of ribbon was used to make each
dress.Question 3: 21: A street vendor sells $25.70 worth of pretzels on Friday, $32.30 on Saturday, and $31.80 on Sunday. He spends a fourth of the money over the weekend. How much money does he have left?
Answer:
A. $89.80
B. $22.45
C. $44.90
D. $67.35
Add the sales amounts together: $25.70 + $32.30 + $31.80 = $89.80. Then multiply the total sales by
3?4 to determine how much money he has left: $89.80 × 0.75 = $67.35.
Question 4: 24: 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?
Answer:
A. 7.6
B. 0.60
C. 0.00042
D. 0.000076
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).Question 5: 13: A dog trainer is building a rectangular dog run that measures 9 by 16 feet. If she wants to fence the perimeter of the run, how many feet of chain link fence will she need?
Answer:
- 144 feet
- 25 feet
- 32 feet
- 50 feet
Calculate perimeter by adding the lengths of all four sides of a quadrilateral: 9 + 9 + 16 + 16 = 50 feet.
Question 6: 9: A personal trainer earns a 65% commission on her training sales. If she sells $530 worth of training, how much commission does she make?
Answer:
A. $874.50
B. $34.45
C. $344.50
D. $185.50
Multiply her total sales by her percent commission to find her commission: $530 × 0.65 = $344.50.Question 7: 23: A crate containing a puppy weighs 60 pounds, 5 ounces. The puppy weighs 43 pounds, 7 ounces. How much does the crate alone weigh?
Answer:
- 16 pounds, 8 ounces
- 16 pounds, 2 ounces
- 17 pounds
- 16 pounds, 14 ounces
Subtract 43 pounds, 7 ounces (the weight of the puppy) from 60 pounds, 5 ounces (the weight of the crate). Converting an additional pound of the crate to ounces makes the subtraction possible. Sixteen ounces make a pound, so 60 pounds, 5 ounces is the same as 59 pounds, 21 ounces. Do the
subtraction:
59 pounds, 21 ounces
- 43 pounds, 7 ounces
16 pounds, 14 ounces Question 8: 1: A baker sells a dozen donuts for $3.99. The cost to make three donuts is $0.45.How much is the total profit on 5-dozen donuts?
Answer:
A. $17.70
B. $13.20
C. $2.19
D. $10.95
Multiply $0.45 (the cost of making three donuts) by 4 to find the cost of making a dozen donuts: $0.45 ×
- = $1.80. Then subtract the cost of making one dozen donuts from the selling price of one dozen
donuts to get the profit on one dozen donuts: $3.99 - $1.80 = $2.19.Because the baker sold five dozen donuts, multiply the profit on one dozen donuts times 5 to determine the profit on five dozen donuts:
$2.19 × 5 = $10.95.
Question 9: 8: The product of two consecutive odd numbers is 399. What are the numbers?
Answer:
- 17 and 19
- 19 and 21
- 21 and 23
- 25 and 27
The fastest way to solve this would be to simply multiply the possible choices together (19 × 21 = 399).However, you can also solve this with algebra. Let x equal the first number and x + 2 the second number.x(x + 2) = 399x2 + 2x = 399This is a quadratic equation that can be solved by setting it equal to zero and factoring.x2 + 2x - 399 = 0(x - 19)(x + 21) = 0x - 19 = 0 or x + 21 = 0x = 19 x = -21x + 2 = 21 x + 2 = -19Two 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.Question 10: 3: A bricklayer charges $8 per square foot to lay a patio. How much would it cost for the bricklayer to lay a 12-foot by 16-foot patio?
Answer:
A. $960
B. $192
C. $224
D. $1,536
First determine the square footage of the patio: 12 feet × 16 feet = 192 square feet. Then multiply this number by the cost per square foot to determine what the brick layer charges: 192 × $8 = $1,536.Question 11: 4: Terry earns three times more per hour than Tim. Tim earns $2 more per hour than Angie. As a group they earn $43 per hour. What's Angie's hourly wage?
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