ASVAB: Arithmetic Reasoning questions and answers 2023

ASVAB: Arithmetic Reasoning questions and answers 2023 If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost? (a) $12.00 (b) $3.50 (c) $42.00 (d) $100.00 C. Multiply 12 miles by $3.50 per mile: 12 × $3.50 = $42.00 The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number? (a) 31 (b) 33 (c) 35 (d) 36 A. x + x + 8 = 70, solve for x. x = 31 00:22 01:16 A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how long will the gross last? (a) 144 days (b) 3 days (c) 20 days (d) 48 days D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days. Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test? (a) 100 (b) 99 (c) 97 (d) 95 B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷ 5. Now solve for x A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average? (a) $37 (b) $45 (c) $42 (d) $420 B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine the amount of tips: $375 × 0.12 = $45 How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room? (a) 24 (b) 120 (c) 48 (d) 144 D. To determine square footage multiply length by width 12 × 12 = 144 sq feet Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now? (a) $0.57 (b) $8.90 (c) $8.72 (d) $13.85 C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57. Then add that to the original wage, $8.15 + $0.57 = $8.72 Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her husband Dave notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves? (a) 49 mph (b) 50.5 mph (c) 52.5 mph (d) 54 mph C. distance = speed × time. First find how far Alice had traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase? (a) $7.50 (b) $1.50 (c) $8.00 (d) $22.50 A. Subtract the sale price from the original price, $24.00 − $22.50 = $1.50. Now multiply that number by the amount of cases to get the final answer $1.50 × 5 = $7.50 A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves? (a) 20.00 minutes (b) 3.75 minutes (c) 22.50 minutes (d) 7.5 minutes C. Divide 30 by 8 to determine how long it takes to walk one city block = 3.75 minutes. Then multiply by 6 the number it takes to complete the circuit. The answer is 22.5 minutes. The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town originally predicted the city;s population to grow by (a) 400,000 (b) 500,000 (c) 300,000 (d) 100,000 B. Let x = the original number predicted. An ¹/₅ would make the population growth ⁶/₅ or 120%, of x. Express the equation as 1.2x = 600,000, solve for x. x = 500,000. Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The car's speedometer shows that he's traveling at a rate of 75 kilometers per hour. Karl knows that a kilometer is about ⁵/₈ of mile. Approximately how many miles per hour is Karl traveling? (a) 47 (b) 120 (c) 50 (d) 53 B. Multiply 75 by ⁵/₈, 375 ÷ 46.8 = 47 mph 00:03 01:16 A carpenter earns $12.30 an hour for a 40-hour week. His overtime pay is 1¹/₂ times his base pay. If he puts in a 46-hour week, how much is his weekly pay? (a) $602.70 (b) $492.00 (c) $565.80 (d) $110.70 A. You need to add the carpenters base pay and overtime to find his total pay for the week. First find his base pay per week: $12.30 × 40hrs = $492. Then find his overtime rate per hour, which is 1¹/₂ time the base pay: $12.30 × 1.5 = $18.45. Multiply this rate by the number of hours of overtime to find his overtime pay: $18.45 × 6 hr. = $110.70. Finally add the base pay and overtime to find the total for the week, $492 + $110.7 = $602.70 An office building has 30 employees and provides 42 square feet of work space per employee. If five more employees are hired, how much less work space will each employee have? (a) 6 square feet (b) 7 square feet (c) 7.5 square feet (d) 36 square feet A. First find the area of the office, 42 ft. × 30 = 1260 sq ft. Then divide the space by 35 employees, each employee now has 36 sq ft of workspace, which is 6 feet less than originally.