Arithmetic Reasoning ASVAB Test 2024 With Complete Solutions

What is 12/60 converted to a percentage? a. 0.20 b. 20% c. 25% d. 12% e. 1.2% - The fraction 12/60 can be reduced to 1/5 , in lowest terms. First, it must be converted to a decimal. Dividing 1 by 5 results in 0.2. Then, to convert to a percentage, move the decimal point two units to the right and add the percentage symbol. The result is 20%. Which of the following is the correct decimal form of the fraction 14/33 rounded to the nearest hundredth place? a. 0.420 b. 0.14 c. 0.424 d. 0.140 e. 0.42 - E: If a calculator is used, divide 33 into 14 and keep two decimal places. If a calculator is not used, multiply both the numerator and denominator times 3. This results in the fraction 42/99, and hence an approximate decimal of 0.42. Which of the following represents the correct sum of 14/15 and 2/5? - B: Common denominators must be used. The LCD is 15, and 2/5 = 6/15 Therefore, 14/15 + 6/15 = 20/15 ,and in lowest terms, the answer is A common factor of 5 was divided out of both the numerator and denominator. What is the product of and 5/14 and 7/20? - A: A product is found by multiplication. Multiplying two fractions together is easier when common factors are cancelled first to avoid working with larger numbers. 5/14 x 7/20 = 5/2x7 x 7/5x4 1/2 x 1/4 = 1/8 What is the result of dividing 24 by 8/5 ? - D: Division is completed by multiplying by the reciprocal. Therefore: 24 divided 8/5 = 24/1 x 5/8 (3x8)/1 x 5/8 = 15/1 = 15 Subtract 5/14 from 5/24 Which of the following is the correct result? - C: Common denominators must be used. The LCD is 168, so each fraction must be converted to have 168 as the denominator. 5/24 - 5/14 = 5/24 x 7/7-5/14x12/1235/168 - 60/168 = -25/168 Which of the following is a correct mathematical statement? - E: The correct mathematical statement is the one in which the number to the left on the number line is less than the number to the right on the number line. It is written in answer E that , which is the same as a correct statement. Which of the following is incorrect? - C: -1/5 4/5 is incorrect. The expression on the left is negative, which means that it is smaller than the expression on the right. As it is written, the inequality states that the expression on the left is greater than the expression on the right, which is not true. In a neighborhood, 15 out of 80 of the households have children under the age of 18. What percentage of the households have children? a. 0.1875% b. 18.75% c. 1.875% d. 15% e. 1.50% - B: First, the information is translated into the ratio 15/80. To find the percentage, translate this fraction into a decimal by dividing 15 by 80. The corresponding decimal is 0.1875. Move the decimal point two units to the right to obtain the percentage 18.75%. Gina took an algebra test last Friday. There were 35 questions, and she answered 60% of them correctly. How many correct answers did she have? a. 35b. 20 c. 21 d. 25 e. 18 - C: Gina answered 60% of 35 questions correctly; 60% can be expressed as the decimal 0.60. Therefore, she answered 0.60 × 35 = 21 questions correctly. Paul took a written driving test, and he got 12 of the questions correct. If he answered 75% of the total questions correctly, how many p