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ARITHMETIC REASONING ASVAB EXAM QUESTIONS
Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -60 Questions and Answers
-Format: Multiple-choice / Flashcard
Question 1: A math class has 32 students. Fourteen are females. What percent of the class is female?
A. 24.22%
B. 37.25%
C. 43.75%
D. 52.75%
Answer:
- In order to calculate the percent, you need to divide the number of female students by the total
number of students. In this case you would divide 14 by 32 to get 0.4375. To change that to a percent, move the decimal point two places to the right and add the percent sign to get the correct answer of
43.75%.
Question 2: Jake is riding a bicycle on a circular track. The distance from the center of the track to the outside of the circle is 10 meters. How far will Jake ride if he goes around the track one time?
- 62.8 m
- 145.5 m
- 157.8 m
- 162.8 m
Answer:
- To find the circumference of a circle, use the formula C = 2 p r . The radius is given as 10 meters.
- C = 62.8 meters.
- 6
- 8
- 12
- 15
Substitute that information into the formula C = 2(3.14)10. Solve for
Question 3: Leon wants to paint the four walls in his dining room. Each wall is 8 feet high by 30 feet wide. A quart of paint covers 40 ft 2 . How many gallons of paint must he purchase?
Answer:
- Leon has four walls that are 8 ft by 30 ft. That's an area of 240 f t 2 for each of four walls. For all four
- 12 inches.
- 9 inches.
- 8 inches.
- 6 inches.
walls, multiply 240 by 4, giving a total square footage of 960 f t 2 . If a quart of paint covers 40 f t 2 , then you need to divide 960 by 40, which results in 24 quarts of paint. The question asks for the number of gallons. Since there are 4 quarts in a gallon, divide 24 by 4 to get 6 gallons.Question 4: 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
Answer:
- 6 inches.
- 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.
Question 5: Karin is as old as her two cousins combined. If Karin is 54 and one cousin is 21, how old is the second cousin?
- 13
- 22
- 33
- 37
Answer:
C Question 6: A restaurant had a delivery of 12 cartons of vegetables and 36 cartons of fruit. What is the ratio of vegetable cartons to fruit cartons?
A. 1 4
B. 1 8
C. 1 3
D. 6 12
Answer:
- To find the ratio of one number to another, create a fraction to show the relationship. In this problem
- 16
- 24
- 27
- 36
12 cartons of vegetables are compared to 36 cartons of fruit. The resulting fraction is 12 36 . Simplifying this fraction results in a ratio of . You might see this as 1:3 on the ASVAB test. 1 3 1 3 and 1:3 mean the same thing.Question 7: Simon's garden is 12 by 24 feet. He will plant bushes that require 8 sq ft of space.How many bushes can he plant?
Answer:
- To calculate the area of Simon's garden, use the formula A = lw . =× = A A 12 ft 24 ft 288 ft 2 If each
bush needs 8 ft 2 of space, divide 288 by 8. = 288 ft 8 36 bushes
Question 8: One-eighth of a bookstore's magazines are sold on a Friday. If ¼ of the remaining magazines are sold the next day, what fractional part of the magazines remains at the end of the second day?
A. 1/32
B. 1/8
C. 7/32
D. 21/32
Answer:
D. 21/32
- At the end of the first day, there are ? of the magazines remaining. ? sold the next day. So at the end
of the second day, there are ? of the magazines remaining.Question 9: The movie Gladiator earned $6 million in the first week of its showing. All movies shown that week earned $114 million. Which of the following shows the ratio of the earnings of Gladiator to the earnings of all movies that week?
A. 1:4
B. 2:13
C. 1:19
D. 3:8 24.
Answer:
- The ratio would be stated as 6:114 or . 6/114 Simplify this fraction to get 1/19
Question 10: Roxanne deposited $300 into a savings account earning 5¼% annually. What is her balance after 1 year?
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