AFOQT Arithmetic Reasoning Test Questions with Correct Answers

AFOQT Arithmetic Reasoning Test Questions with Correct Answers It cost $0.85 to make a single color copy at a copy center. At his price, how many copies can be purchased with $68.00? a. 9 b. 45 c. 68 d. 72 e. 80 - Answer-e. Since the price per copy is $0.85, divide 68 by .85 to find the total number that can be purchased with $68; 68 / .85 = 80 copies that can be purchased. An aquarium has a base length of 12 inches and a width of 5 inches. If the aquarium is 10 inches tall, what is the total volume? a. 480 cubic inches b. 540 cubic inches c. 600 cubic inches d. 720 cubic inches e. 920 cubic inches - Answer-c. The volume of the aquarium can be found by using the formula V = l * w * h. Since the length is 12 inches, the width is 5 inches and the height is 10 inches, multiply V = 12 * 5 * 10 to get a volume of 600 cubic inches. A man turns a woman's handbag in to the Lost and Found Department of a large downtown store. The man informs the clerk in charge that he found the handbag on the floor beside an entranceway. The clerk estimates that the handbag is worth approximately $150. Inside, the clerks finds the following items: one leather makeup case valued at $65, one vial of perfume, unopened, valued at $75, one pair of earrings valued at $150, and $178 in cash. The clerk is writing a report to be submitted along with the found property. What should he write as the total value of the found cash and property? a. $468 b. $608 c. $618 d. $658 e. $718 - Answer-c. The value of the handbag ($150) must be included in the total. Use the following information to answer questions 4 through 6. The cost of movie theater tickets is $7.50 for adults and $5 for children ages 12 and under. On Saturday and Sunday afternoons until 4:00 p.m., there is a matinee price: $5.50 for adults and $3 for children ages 12 and under. Special group discounts are available for groups of 30 or more people. Which of these can be determined from the information given in the above passage? a. how much it will cost a family of four to buy movie theater tickets on Saturday afternoon b. the difference between the cost of two movie theater tickets on Tuesday night and the cost of one ticket on Sunday at 3:00 p.m. c. how much movie theater tickets will cost each person if he or she is part of a group of 40 people d. the difference between the cost of a movie theater ticket for an adult on Friday night and a movie theater ticket for a 13-year-old on Saturday aftern - Answer-d. Both choices a and b can ruled out because there is no way to determine how many tickets are for adults or for children. Choice c can be ruled out because the price of group tickets is not given. Use the following information to answer questions 4 through 6. The cost of movie theater tickets is $7.50 for adults and $5 for children ages 12 and under. On Saturday and Sunday afternoons until 4:00 p.m., there is a matinee price: $5.50 for adults and $3 for children ages 12 and under. Special group discounts are available for groups of 30 or more people. Based on the passage, how much will movie theater tickets cost for two adults, one 15- year-old child, and one 10-year-old child at 7:00 p.m. on a Sunday night? a. $17.00 b. $19.50 c. $25.00 d. $27.50 e. $37.50 - Answer-d. Because the 15-year-old requires an adult ticket, there are 3 adult tickets at $7.50 each and one child's ticket at $5. Use the following information to answer questions 4 through 6. The cost of movie theater tickets is $7.50 for adults and $5 for children ages 12 and under. On Saturday and Sunday afternoons until 4:00 p.m., there is a matinee price: $5.50 for adults and $3 for children ages 12 and under. Special group discounts are available for groups of 30 or more people. Using the passage, how can you find the difference in price between a movie theater ticket for an adult and a movie theater ticket for a child under the age of 12 if the tickets are for a show at 3:00 p.m. on a Saturday afternoon? a. Subtract $3 from $5.50. b. Subtract $5 from $7.50. c. Subtract $7.50 from $5.50. d. Add $5.50 and $3 and divide by 2. e. Add $7.50 and $5.50 and divide by 2. - Answer-a. The adult price on Saturday afternoon is $5.50; the child's price is $3.00. It takes a typist 0.50 seconds to type one word. At this rate, how many words can be typed in 60 seconds? a. 2.25 b. 50 c. 90 d. 120 e. 220 - Answer-d. This problem is solved by dividing 60 by 0.50. 60 / .50 = 120. If the average cadet burns 8.2 calories per minute while riding a bicycle, how many calories will the cadet burn if he or she rides for 35 minutes? a. 286 b. 287 c. 387 d. 980 e. 1,080 - Answer-b. This problem is solved by multiplying 35 times 8.2. Dr. Drake charges $36 for an office visit, which is 3/4 of what Dr. Jean charges. How much does Dr. Jean charge? a. $27 b. $38 c. $48 d. $57 e. $68 - Answer-c. You know the ratio of Drake's charge to Jean's charge is 3 to 4, of 3/4. To find what Jean charges, you use the equation 3/4 = 36/x, or 3x = 4(36); (4)(36) = 144, which is then divided by 3 to arrive at x = 48. Thirty percent of the cadets at the Air Force Academy are involved in athletics. If 15% of the athletes play lacrosse, what percentage of the whole academy plays lacrosse? a. 4.5% b. 9.0% c. 15% d. 30% e. 40% - Answer-a. In this question, you need to find 15% of the 30% of cadet athletes that play lacrosse. To find 15% of 30%, change the percents to decimal form and multiply. Since 30% = 0.30 and 15% = 0.15, multiply (0.30)(0.15) = 0.045. As a decimal, this is equivalent to 4.5%. Use the following information to answer questions 11 and 12. Basic cable television service, which includes 16 channels, costs $15 a month. The initial labor fee to install the service is $25. A $65 deposit is required but will be refunded within two years if the customer's bills are paid in full. Other cable services may be added to the basic service: the movie channel service is $9.40 a month; the news channels are $7.50 a month; the arts channels are $5 a month; the sports channels are $4.80 a month. A customer's cable television bill totaled $20 a month. Using the preceding passage, what portion of the bill was for basic cable service? a. 25% b. 33% c. 50% d. 75% e. 85% - Answer-d. The basic cable service fee of $15 is 75% of $20. Use the following information to answer questions 11 and 12. Basic cable television service, which includes 16 channels, costs $15 a month. The initial labor fee to install the service is $25. A $65 deposit is required but will be refunded within two years if the customer's bills are paid in full. Other cable services may be added to the basic service: the movie channel service is $9.40 a month; the news channels are $7.50 a month; the arts channels are $5 a month; the sports channels are $4.80 a month. A custormer's first bill after having cable television installed totaled $112.50. This customer chose basic cable and one additional cable service. Which additional service was chosen? a. the news channels b. the movie channels c. the arts channels d. the sports channels e. none of the above - Answer-a. The labor fee ($25) plus the deposit ($65) plus the basic service ($15) equals $105. The difference between the total bill, $112.50, and $105 is $7.50, the cost of the news channels. Out of every 200 shoppers polled, 60 said they buy fresh vegetables every week. How many shoppers out of 40,000 could be expected to buy fresh vegetables every week? a. 3,600 b. 9,000 c. 12,000 d. 24,000 e. 36,000 - Answer-c. 60 out of 200 is 30%. Thirty percent of 40,000 is 12,000. Use the following pie chart to answer questions 14 and 15. Classical 4.5% Country 27.5% Jazz 7.5% Rap 15% Rock 45.5% If 400 total songs were downloaded, how many downloads were country music? a. 11 b. 28 c. 55 d. 110 e. 270 - Answer-d. 27.5% of 400 is 110.