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AFOQT Arithmetic Reasoning Practice Test 2
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AFOQT Arithmetic Reasoning Practice Test 2
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25 Questions

1. The school enrollment is 1400. Twenty percent of the students study French, 25% study Spanish, 15% study Italian, 10% study German, and the rest study no foreign language. Assuming that each student may study only one foreign language, how many students do not study any foreign language?
2. Two children weighing 60 pounds and 80 pounds, respectively, balance a seesaw. How many feet from the fulcrum must the heavier child sit if the lighter child is 8 feet from the fulcrum?
3. How many liters of 50% antifreeze must be mixed with 80 liters of 20% antifreeze to get a mixture that is 40% antifreeze?
4. How many liters of 50% antifreeze must be mixed with 80 liters of 20% antifreeze to get a mixture that is 40% antifreeze?
5. The cost of 4 rolls, 6 muffins, and 3 loaves of bread is $9.10. The cost of 2 rolls, 3 muffins, and a loaf of bread is $3.90. What is the cost of a loaf of bread?
6. A room 27 feet by 32 feet is to be carpeted wall to wall. The width of the carpet is 27 inches. The length, in yards, of the carpet needed for this room is
7. At 12:00 noon, two vessels started sailing toward each other from ports that are 450 miles apart. They traveled at average rates of 22 and 28 mph, respectively. How many miles apart will the vessels be at 8 P.M.?
8. A pole 24 feet high has a shadow 8 feet long. A nearby pole is 72 feet high. How long is its shadow?
9. Eight hundred persons are employed by the Metropolitan Transit Authority. One quarter of the employees are college graduates; of the remainder are high school graduates. What part of the total number of employees never graduated from high school?
10. Two trains are 630 miles apart. At 9:00 a.m., they start traveling toward each other at average rates of 50 and 55 mph, respectively. At what time will they pass each other?
11. The temperatures reported at hourly intervals on a winter evening were +6º, +3º, 0º, –4º, and –10º. What was the average temperature for this period of time?
12. What part of a dime is a quarter?
13. Two planes left at the same time from two airports that are 6000 miles apart and flew toward each other. They passed each other in five hours. The rate of the fast plane was twice the rate of the slow plane. What was the speed of the fast plane?
14. The temperatures reported at hourly intervals on a winter evening were +6º, +3º, 0º, –4º, and –10º. What was the average temperature for this period of time?
15. A purse contains $2.20 in dimes and quarters. If the number of dimes is the number of quarters, how many dimes are there?
16. A rectangular flower bed whose dimensions are 16 yards by 12 yards is surrounded by a walk 3 yards wide. The area of the walk is
17. If 15 cans of food are needed for 7 adults for 2 days, the number of cans needed for 4 adults for 7 days is
18. The ratio of Democrats to Republicans in a certain state legislature is 5 : 7. If the legislature has 156 members, all of whom are either Democrats or Republicans (but not both), what is the difference between the number of Republicans and the number of Democrats?
19. At 12:00 noon, two vessels started sailing toward each other from ports that are 450 miles apart. They traveled at average rates of 22 and 28 mph, respectively. How many miles apart will the vessels be at 8 P.M.?
20. A room 27 feet by 32 feet is to be carpeted wall to wall. The width of the carpet is 27 inches. The length, in yards, of the carpet needed for this room is
21. Nicholas receives a basic weekly salary of $180 plus a 5% commission. In a week in which his sales amounted to $1800, the ratio of his basic salary to his commission was
22. Assume that a musical instrument depreciates by 20% of its value each year. What would be the value of a piano purchased new for $2400 after 2 years?
23. How much water must be evaporated from 120 pounds of a 3% saline solution to make it an 8% saline solution?
24. A rectangular flower bed whose dimensions are 16 yards by 12 yards is surrounded by a walk 3 yards wide. The area of the walk is
25. A pole 24 feet high has a shadow 8 feet long. A nearby pole is 72 feet high. How long is its shadow?

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