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ASVAB- Arithmetic Reasoning
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. (b) $3. (c) $42. (d) $100.00 - C. Multiply 12 miles by $3.50 per mile: 12 × $3.50 = $42. 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 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) $ (b) $ (c) $ (d) $420 - B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine the amount of tips: $375 × 0.12 = $
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. (b) $8. (c) $8. (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. 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. (b) $1. (c) $8. (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. 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
Stan bought a monster truck for a $2,000 down payment and $450 a month for five years. What's the total cost of the monster truck? (a) $4, (b) $29, (c) $27, (d) $34,000 - B. Five years contains 60 months, $450 payments at 60 months = $27,000. Now add the down payment, $27,000 + $2,000 = $29, MIchael needs 55 gallons if paint to paint an apartment building. He would like to purchase the paint for the least amount money possible. Which of the following should he buy? (a) two 25-gallon buckets at $550 each (b) eleven 5-gallon buckets at $108 each (c) six at 10-gallon buckets at $215 each (d) fifty-five 1-gallon bucket at $23 each - B. Choice (a) doesn't have enough paint ( ×25 gal = 50 gal) so it's wrong. Choice (b): 11 × $108 = $1, Choice (c): 6 × $215 = $1, Choice (d): 55 × $23 = $ As a member of FEMA, you're required to set up a contingency plan to supply meals to residents of a town devastated by a tornado. A breakfast ration weights 12 ounces and the lunch and dinner rations weight 18 ounces each. Assuming a food truck can carry 3 tons and that each resident will receive 3 meals per day, how many residents can you feed from one truck during a 10-day period? (a) 150 residents (b) 200 residents (c) 250 residents (d) 300 residents - B. First find how many ounces each truck can hold. 2,000lb. are in a ton, so each truck can carry three times that 6,000lb. There are 16 ounces to a pound so one truck can carry 96,000 ounces ( 16oz. × 6,000lb.). Now find the daily total for each persons three meals 12oz + 18oz + 18oz = 48oz. Now 96,000 × 48 = 2,000 daily rations. This rations need to last 10 days (2,000 ÷ 10 = 200) So 200 residents can be fed by one truck for 10 days. A train headed south for Wichita left the station at the same time a train headed north for Des Moines left the same station. The train headed to Wichita traveled 55 miles per hour. The train headed for Des Moines traveled at 70 miles per hour. How many miles apart are the trains at the end of three hours? (a) 210 miles (b) 165 miles (c) 125 miles (d) 375 miles - D. Distance = speed × time, take the distance traveled by the Wichita train (55mph × 3hr = 165 miles) then add that to the distance traveled by the Des
Moines train (70mph × 3hr = 210 miles). The trains are 375 miles apart in 3 hours. Another option: add the two trains mph then multiply by 3 hours (55 + 70) = 125 × 3 = 375 miles A carpenter needs to cut four sections, each 3 feet, 8 inches long, from a piece of molding. If the board is only sold by the foot, what's the shortest length of board she can buy? (a) 15 feet (b) 14 feet (c) 16 feet (d) 12 feet - A. Each section is 3²/₃ feet, times that by four and you get 14²/₃ so 15 is the shortest board possible. Kiya had only one coupon for 10% off one frozen turkey breast. The turkey breast costs $8.50 each, and Kiya wanted to buy two. How much did she pay? (a) $16. (b) $17. (c) $15. (d) $7.65 - A. First find the discounted turkey's price ($8.50 × .10 = $0.85, $8.50 - $0. = $7.35) then add another $8.50 because she needs two turkey breast. $7.35 + $8.50 = $16. Your car uses gasoline at a rate of 21 miles per gallon. If gasoline costs $2.82 per gallon and you drive for 7 hours at a speed of 48 miles per hour, how much will you pay for gasoline for the trip? (a) $38. (b) $45. (c) $47. (d) $59.27 - B. First determine the miles traveled d = st (7hr × 48mph = 336 miles), then divide by the rate per gallon, 21. So now you know you need 16 gallons at $2.82 per gallon to pay for the trip. 16 × $2.82 = $45. If you roll two six-sided dice, what's the probability of not rolling a five on either die? (a) ¹/₃₆ (b) ¹/₆ (c) ⁴/₃₆ (d) ²⁵/₃₆ - D. The probability of rolling a 5 is a 1 out of 6 chance, so the probability of NOT rolling a 5 is 5 out of 6. With two die the probability is ⁵/₆ × ⁵/₆ = ²⁵/₃₆ Jack loaned Bob $1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack? (a) $ (b) $1, (c) $1,
