ASVAB - Arithmetic Reasoning Exam Questions & Answers 100% Correct!

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? - 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? - 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? - ANSWER-A. 384 square yards 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? - 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? - ANSWER-A. 17 and 19 B. 19 and 21 C. 21 and 23 D. 25 and 27 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? - ANSWER-A. $960 B. $192 C. $224 D. $1536 (D) 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 Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there? - ANSWER-A. 25 B. 30 C. 35 D. 40