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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. A champion runner ran the 100-yard dash in three track meets. The first time he ran it in 10.2 seconds; the second in 10.4 seconds; and the third in 10 seconds. What was his average time?
2. 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?
3. If 2.5 centimeters = 1 inch, how many centimeters are in 1 foot?
4. A resolution was passed by a ratio of 5:4. If 90 people voted for the resolution, how many voted against it?
5. A team lost 10 games in a 35-game season. Find the ratio of games won to games lost.
6. A, B, and C invested $8000, $7500, and $6500, respectively. Their profits were to be divided according to the ratio of their investment. If B uses his share of the firm’s profit of $825 to pay a personal debt of $230, how much will he have left?
7. 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?
8. The total savings in purchasing 30 13-cent candies for a class party at a reduced rate of $1.38 per dozen is
9. A person travels 30 miles at 6 mph, 20 miles at 10 mph, and 15 miles at 5 mph. What is the person’s average rate for the complete distance?
10. 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?
11. An airplane flying a distance of 875 miles used 70 gallons of gasoline. How many gallons will it need to travel 3000 miles?
12. How much money is saved by buying a car priced at $12,000 with a single discount of 15% rather than buying the same car with discounts of 10% and 5%?
13. 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?
14. Assuming that on a blueprint inch equals 12 inches of actual length, the actual length (in feet) of a steel bar represented on the blueprint by a line inches long is
15. The price of an article has been reduced 25%. In order to restore the original price, the price must be increased by
16. What is the fifth term in the series:
17. How many gallons of fuel will be contained in a rectangular tank that measures 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth (7.5 gallons = 1 cubic foot)?
18. 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?
19. If 2.5 centimeters = 1 inch, and 36 inches = 1 yard, how many centimeters are in 1 yard?
20. One third of the students at Central High are seniors. Three fourths of the seniors will go to college next year. What percentage of the students at Central High will go to college next year?
21. 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?
22. In a 3-hour examination of 350 questions, there are 50 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems?
23. Three workers assemble 360 switches per hour, but 5% of the switches are defective. How many good (nondefective) switches will these 3 workers assemble in an 8-hour shift?
24. 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?
25. 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?

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