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AFCT Arithmetic Reasoning Study Exam
Questions & Answers.
A man owned 75 shares of stock worth $50 each. The corporation declared a dividend of 8%, payable in stock. How many shares did he then own? - CORRECT ANSWER a) 81 shares The correct answer is A. 8% of 75 = 6 shares; 75 shares + 6 shares = 81 shares If a scow is towed at the rate of 3 miles an hour, how many hours will be needed to tow the scow 28 miles? - CORRECT ANSWER b) 9 hours, 20 minutes The correct answer is B. 28 miles ÷ 3 mph = 9.33 hrs. = 913hrs.=9hrs.20mins. Fifteen dozen eggs were needed for baking four wedding cakes. The first cake needed one dozen eggs, and each successive cake needed twice as many eggs as the previous cake. How many eggs were used to make the fourth cake? - CORRECT ANSWER c) 96 The correct answer is C. 1st Cake = 1(12), 2nd Cake = 2(12), 3rd Cake = 4(12), 4th Cake = 8(12). The 4th cake will require 8(12) = 96 eggs. The local high school had 1,000 bottles of water on hand. The school issued 1/4 of the supply to the 9th grade, 1/5 of the supply to the 10th grade, and 2/5 of the supply to the 11th grade. How many bottles remained for the 12th grade? - CORRECT ANSWER d) 150 The correct answer is D. 1,000 1/4 + 1,000 1/5 + 1,000 2/ 250 + 200 + 400 = 850 So, 1,000-850=150 bottles A dealer bought some bicycles for $4,000. He sold them for $6,200, making $50 on each bicycle. How many bicycles were there? - CORRECT ANSWER d) 44
The correct answer is D. $6,200 - $4,000 = $2,200 is the amount he made. $2,200 ÷ $50 (profit on each bicycle) = 44 bicycles sold Many American cars feature speedometers that show kilometers per hour. If you are required to drive 500 miles, and you know that one kilometer is approximately 5/8 of a mile, how many kilometers would you cover in that journey? - CORRECT ANSWER b) 800 The correct answer is B. To find how many kilometers are in 500 miles, divide 500 miles by 5/8 (the ratio of miles to kilometers). 5001÷5/8=5001×8/5=800 kilometers. (1 mile = 1.609) Six gross of special drawing pencils were purchased for use in a department. If the pencils were used at the rate of 24 a week, the maximum number of weeks that the 6 gross of pencils would last is - CORRECT ANSWER d) 36 weeks The correct answer is D. There are 144 pencils in a gross; 144 × 6 = 864 pencils in all. 864 ÷ 24 = 36 weeks' worth of pencils. A stock clerk had 600 pads on hand. He then issued 3/8 of his supply of pads to Division X, 1/4 to Division Y, and 1/6 to Division Z. The number of pads remaining in stock is - CORRECT ANSWER c) 125 The correct answer is C. First, consider that the question describes each fraction, as a fraction of the original total. This means that we can apply each fraction to the total, then subtract these three numbers from the total to get the remaining number of pads in stock. 3/8 of 600 is 225. 1/4 of 600 is 150. 1/6 of 600 is 100. 225 + 150 + 100 = 475 475 - 600 = 125 During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete bought 4 CDs at the sale price. How much money did he save by buying the 4 CDs on sale? - CORRECT ANSWER b) $2.
1 hour = 60 mins and 13 hour = 20 minutes. So, 60 mins + 20 mins = 80 minutes. A shopper bought 4 pillow cases that cost $4.98 apiece, 2 fitted sheets that cost $8.29 apiece, and 2 flat sheets that cost $8.09 apiece. What was her total bill? - CORRECT ANSWER The correct answer is C. $4.98 x 4 = $19. $8.29 x 2 = $16.
- $8.09 x 2 = $16. $52. The wage rate in a certain trade is $8.60 an hour for a 40-hour week and 112 times the base pay for overtime. An employee who works 48 hours in a week earns - CORRECT ANSWER a) $447. The correct answer is A. 48 - 40 = 8 hours overtime Salary for 8 hours overtime: Salary for 40 hours regular time: $8.60 × 40 = $344. Total salary = $344.00 + $103.20 = $447. The temperature yesterday at noon was 68.5 degrees. Today at noon it was 59.9 degrees. What was the difference in temperature? - CORRECT ANSWER c) 8.6 degrees The correct answer is C. 68.5° - 59.9° = 8.6° My family left at 4 a.m. on a trip to the mountains. If the car averaged 60 miles per hour for 600 miles, what time would they arrive at their destination? - CORRECT ANSWER b) 2 p.m. The correct answer is B. Distance (d) = rate (r)X time (t). 600 = 60 × t Divide 10 = t
Beginning at 4 a.m., moving forward 10 hours would be 2 p.m. A woman bought a new color television with a $40 down payment and 16 monthly payments of $ each. What was the total cost of the television? - CORRECT ANSWER b) $ The correct answer is B. Multiply the number of monthly payments by amount to be paid each month: 16 × $20 = $320. Add the down payment to the total of monthly payments: $320 + $40 = $360. A man paid $42.30 for gasoline in May, $38.60 in June, and $43 in July. What was his average monthly cost for gasoline? - CORRECT ANSWER b) $41. The correct answer is B. Add the three monthly totals, then divide by 3 to find the average monthly cost: $42. 38.60 $123.90 ÷ 3 = $41.
$123. A skier started a fire in the fireplace. Each log she put on burned for a half-hour. If she started with a supply of 10 logs, for how many hours could the fire burn? - CORRECT ANSWER a) 5 hours The correct answer is A. 10×12hours=5hours To go from Poughkeepsie, New York, to West Palm Beach, Florida, you must travel 1,400 miles. If you can average a driving speed of 50 miles an hour, how many hours must you drive to make this trip? - CORRECT ANSWER b) 28 The correct answer is B. 1,400 miles ÷ 50 mph = 28 hours
The correct answer is B. 4 ft. 8 in. × 3 = 12 ft. 24 in. = 14 ft A girl bought a sweater for $21, a blouse for $14.98, and a scarf for $4.97. What was the total cost of her purchases? - CORRECT ANSWER d) $40. The correct answer is D. $21 + $14.98 + $4.97 = $40. Don and Frank started from the same point and drove in opposite directions. Don's rate of travel was 50 miles per hour. Frank's rate of travel was 40 miles per hour. How many miles apart were they at the end of 2 hours? - CORRECT ANSWER d) 180 The correct answer is D. Don drove 50 miles × 2 hours = 100 miles. Frank drove 40 miles × 2 hours = 80 miles. Since they drove in opposite directions, add the two distances to learn that they were 180 miles apart. A decorator went to a department store and ordered curtains for 5 windows. One pair of curtains cost $14.28; 2 pairs cost $33.26 apiece; and the remaining 2 pairs cost $65.38 apiece. What was the retail cost of the 5 pairs of curtains? - CORRECT ANSWER b) $211. The correct answer is B. $14.28 × 1 = $14. 33.26 × 2 = 66.
- 65.38 × 2 = 130. $211. If pencils are bought at 70 cents per dozen and sold at 3 for 20 cents, the total profit on 6 dozen is - CORRECT ANSWER b) 60 cents. The correct answer is B. 3 for 20¢ × 4 = 12 for 80¢ 80¢ - 70¢ = 10¢ profit per dozen
10¢ × 6 doz. = 60¢ total profit A certain type of siding for a house costs $10.50 per square yard. What does it cost for the siding for a wall 4 yards wide and 60 feet long? - CORRECT ANSWER b) $ The correct answer is B. 60 ft. = 20 yd. The wall is 4 yd. × 20 yd. = 80 sq. yd. $10.50 × 80 = $ A parcel delivery service charges $9.26 for the first 4 pounds of package weight and an additional $1. for each half pound over 4 pounds. What is the charge for a package weighing 612 pounds? - CORRECT ANSWER d) $14. The correct answer is D. 612 pounds - 4 pounds = 212 pounds There are 5 half-pounds in 212 pounds $9.26 + 5 (1.06) = $9.26 + 5. = $14. A typist uses lengthwise a sheet of paper 9 inches by 12 inches. She leaves a 1-inch margin on each side and a 112 inch margin on top and bottom. What fractional part of the page is used for typing? - CORRECT ANSWER b) 712 The correct answer is B. The whole paper is 9 in. × 12 in. = 108 sq. in. The paper she uses is 9 in. - 1 in. - 1 in. = 7 in. × 12 in. -112 in. - 112 = 9 in. The paper she uses is 7 in. × 9 in. = 63 sq. in. 63108 =712 is used for typing. A woman currently has a balance of $2,300 in her checking account. She had to withdraw $331.50 to pay a bill. What is her balance after the withdrawal? - CORRECT ANSWER c) $1,968.
=2(46ft)+ 2(34ft) =92 ft+ 68 ft = 160 ft 160/3= 53 1/ A piece of wood 35 feet 6 inches long was used to make 4 shelves of equal length. The length of each shelf is ____? - CORRECT ANSWER b) 8 feet, 10 1/2 inches The correct answer is B. First rename the feet as inches. 35 ft. 6 in. = 420 in. + 6 in. = 426 in. 426 ÷ 4 = 106.5 in. per shelf = 8 ft. 10 1/2 in. per shelf At the convenience store a shopper purchased 4 boxes of cereal at $2.98 each, 2 gallons of milk at $1. each, and a loaf of bread for $2.50. What was the total bill? - CORRECT ANSWER a) $18. The correct answer is A. 4($2.98) + 2($1.99) + 1($2.50) = $18.40. What is the simple interest on $600 at 8% for 2 years? - CORRECT ANSWER c) $ The correct answer is C. $600 × .08 = $48 × 2 = $ A worker makes $9.80 per hour for a 40- hour work week. He also earns 112 times the regular pay for overtime work. If he worked 50 hours last week, how much was his total paycheck? - CORRECT ANSWER d) $ The correct answer is D. $9.80 is regular pay 112 ($9.80) = $ 14.70 is overtime pay. 40($9.80) + 10($14.70) = $539.
How much does a salesperson earn for selling $68 worth of writing paper if she is paid a commission of 40% on her sales? - CORRECT ANSWER d) $27. The correct answer is D. $68 × 40% = $27. If a certain job can be performed by 18 clerks in 26 days, the number of clerks needed to perform the job in 12 days is - CORRECT ANSWER c) 39 The correct answer is C. Eighteen clerks can do the job in 26 days. Therefore, 1 clerk takes 18 × 26 = 468 days to do the job. To get the job done in 12 days will take 468 ÷ 12 = 39 clerks. A carton contains 9 dozen file folders. If a clerk removes 53 folders, how many folders are left in the carton? - CORRECT ANSWER c) 55 The correct answer is C. The carton contains 9 × 12 = 108 folders. 108 - 53 = 55 remain in carton A man had $25. He saw some ties that cost $4.95 apiece. How many of these ties could he buy? - CORRECT ANSWER c) 5 The correct answer is C. $25 ÷ $4.95 = 5.05—he could buy 5 ties. $4.95 × 5 = $24.75. After buying 5 ties the man would still have 25¢ left. A man earns $20.56 on Monday; $32.90 on Tuesday; and $20.78 on Wednesday. He spends half of all that he earns during the three days. How much does he have left? - CORRECT ANSWER d) $37. The correct answer is D. $20.
The correct answer is B. $12.50 - $10.98 = $1.52 cost to upgrade the blouse; $5 - $1.52 = $3.48 change. A man paid $52.50 to fill up his gas tank in April, $46.80 to fill it up in May, and $42.60 to fill it up in June. What was the average cost of a fill-up of gasoline? - CORRECT ANSWER a) $47. In a 45-minute gym class, 30 boys want to play basketball. Only 10 can play at once. If each player is to play the same length of time, how many minutes should each play? - CORRECT ANSWER c) 15 The correct answer is C. Only 10 boys can play at one time. Therefore, the 30 boys must be divided into 3 groups. Each group can then play 45 min. ÷ 3 = 15 min The library charges 5¢ for the first day and 2¢ for each additional day that a book is overdue. If a borrower paid 65¢ in late charges, for how many days was the book overdue? - CORRECT ANSWER d) 31 The correct answer is D. 65¢ - 5¢ for the first day = 60¢ for the other days. 60¢ ÷ 2¢ = 30 other days. The book was 31 days overdue. How many slices of bread, each weighing 2 ounces, are needed to balance 2 pounds of apples? - CORRECT ANSWER c) 16 The correct answer is C. 1 lb. = 16 oz.; 2 lb. = 32 oz.; 32 oz. ÷ 2 oz. = 16 slices. If 12 cup of spinach contains 80 calories practice test 3 and the same amount of peas contains 300 calories, how many cups of spinach have the same caloric content as a 23 cup of peas? - CORRECT ANSWER d) 212 If it takes 30 minutes to type 6 pages, how many hours will it take to type 126 pages at the same rate? - CORRECT ANSWER b)
The correct answer is B. 30 min. for 6 pages; 1 hr. for 12 pages; 126 ÷ 12 = 10.5 hrs. A night watchman must check a certain storage area every 45 minutes. If he first checks the area as he begins a 9-hour tour of duty, how many times will he have checked this storage area? - CORRECT ANSWER d) 13 The correct answer is D. 9 hrs. = 540 mins.; 540 ÷ 45 = 12. The night watchman stops at the storage area 12 times during his tour plus once at the beginning of his tour of duty for a total of 13 times. It takes a race car 54 seconds to go around a racetrack. If the car makes 20 laps around the track, how many minutes did it take? - CORRECT ANSWER c) 18 minutes The correct answer is C. 54 seconds/lap×20 laps=1,080 seconds1,080 seconds×1 minute60 seconds=18 minutes
