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Officer Candidate Tests Practice Test 5: Arithmetic Reasoning
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Officer Candidate Tests Practice Test 5: Arithmetic Reasoning
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25 Questions

1. It costs 31¢ a square foot to lay linoleum. To lay 20 square yards of linoleum, it will cost
2. If 2.5 centimeters = 1 inch, and 36 inches = 1 yard, how many centimeters are in 1 yard?
3. A gasoline tank is full. After adding 10 gallons of gasoline, the gauge indicates that the tank is full. What is the capacity of the tank in gallons?
4. If 15 cans of food are needed for 6 adults for 2 days, the number of cans needed for 4 adults for 5 days is
5. Mrs. Jones wishes to buy 72 ounces of canned beans for the least possible cost. Which of the following should she buy?
6. On a map, inch = 10 miles. How many miles apart are two towns that are inches apart on the map?
7. A class of 198 recruits consists of three racial and ethnic groups. If are black and of the remainder are Hispanic, how many of the recruits in the class are white?
8. A carpenter needs four boards, each 2 feet 9 inches long. If wood is sold only by the foot, how many feet must he buy?
9. Two trains running on the same track travel at the rates of 25 and 30 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it?
10. Four men working together can dig a ditch in 42 days. They begin the job, but one man works only half days. How long will it take to complete the job?
11. What part of an hour elapses between 6:45 P.M. and 7:09 P.M.?
12. If the average weight of girls of Jane’s age and height is 105 pounds and if Jane weighs 110% of average, then Jane’s weight in pounds is
13. Mr. Jackson takes his wife and two children to the circus. If the price of a child’s ticket is half the price of an adult ticket and Mr. Jackson pays a total of $12.60, the price of a child’s ticket is
14. If a car-renting agency charges a fixed rate of $12 per day plus 17¢ per mile, what would the charge be for using a car for 6 days and traveling 421 miles?
15. A stationer buys books at $0.75 per dozen and sells them at 25 cents apiece. The gross profit based on the cost is
16. A woman’s weekly salary is increased from $350 to $380. The percent of increase is most nearly
17. A man willed his property to his three children. To the youngest he gave $10,000; to the second, 2.5 times as much as to the youngest; and to the eldest, 1.5 times as much as to the second. What was the value of the estate?
18. If the cost of digging a trench is $8.48 a cubic yard, what would be the cost of digging a trench 2 yards by 5 yards by 4 yards?
19. A pole 12 feet high has a shadow 4 feet long. A nearby pole is 24 feet high. How long is its shadow?
20. Two sailors traveled by bus from one point to another. The trip took 15 hours, and they left their point of origin at 8 A.M. What time did they arrive at their destination?
21. A piece of wood 35 feet, 6 inches long was used to make 4 shelves of equal length. The length of each shelf was most nearly
22. Two ships are 1550 miles apart and sailing toward each other. One sails at the rate of 85 miles per day and the other at the rate of 65 miles per day. How far apart will they be at the end of 9 days?
23. If the outer diameter of a cylindrical oil tank is 54.28 inches and the inner diameter is 48.7 inches, the thickness of the wall of the tank, in inches, is
24. What is the fifth term in the series:
25. 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?

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