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Cards In This Set
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An Army food supply truck can carry three tons. A breakfast ration weighs 12 ounces, and the other two daily meals weigh 18 ounces each. Assuming each soldier gets three meals per day, on a 10-day trip, how many soldiers can be supplied by one truck?
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The correct answer is C. Three tons = 6,000 pounds. At 16 ounces per pound, 6,000 pounds = 96,000 ounces that can be carried by the truck. The total weight of each daily ration is 12 ounces + 18 ounces = 18 ounces = 48 ounces per soldier per day, and
 = 2,000. So  days = 200 soldiers supplied. |
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Based on the following information, estimate the weight of a person who is 5'5" tall.
Height
Weight
5'
110 lbs.
6'
170 lbs.
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A.
125
B.
130
C.
135
D.
140
E.
145
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A study shows that 600,000 women die each year in pregnancy and childbirth, one-fifth more than scientists previously estimated. How many such deaths did the scientists previously estimate?
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The correct answer is E. Let E = the estimate. One-fifth more than the estimate would be
 , or 120%, of E, so 600,000 = (1.20)(E). Dividing both sides by 1.2 leaves E = 500,000. |
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A woman drives west at 45 miles per hour. After half an hour, a man starts to follow her. How fast must he drive to catch up to her three hours after he starts?
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The correct answer is A. The woman will have traveled 3.5 hours at 45 miles per hour for a distance of 157.5 miles. To reach her in 3 hours, the man must travel at 157.5 miles per 3 hours, or 52.5 mph.
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All of the rooms in a building are rectangular, with eight-foot ceilings. One room is nine feet wide by 11 feet long. What is the combined area of the four walls, including doors and windows?
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The correct answer is E. Each 9-foot wall has an area of 9(8), or 72 square feet. There are two such walls, so those two walls combined have an area of 144 square feet. Each 11-foot wall has an area of 11(8), or 88 square feet, and again there are two such walls: 88(2) = 176. Finally, add 144 and 176 to get 320 square feet.
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Newly hired nurses have to buy duty shoes at the full price of $84.50, but nurses who have served at least a year get a 15% discount. Nurses who have served at least three years get an additional 10% off the discounted price. How much does a nurse who has served at least three years have to pay for shoes?
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The correct answer is B. You can't just take 25% off the original price, because the 10% discount after three years of service is taken off the price that has already been reduced by 15%. Figure the problem in two steps: After the 15% discount, the price is $71.83. 90% of that—subtracting 10%—is $64.65.
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The first digit of the square root of 112,092 is?
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The correct answer is C. When a number is marked off in groups of two digits each, starting at the decimal point, the square root of the largest square in the left hand group, whether one or two digits, is the first digit of the square root of the number. In this case (11-20-92), 9 is the largest square in 11, and 3 is the square root of 9.
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An automobile gasoline gauge reads 1/8 full. After the gas tank is filled with 15 gallons, the gauge reads 7/8 full. What is the capacity of the tank?
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§ Subtract the amount of gas already in the tank from the amount filled. 7/8 – 1/8 = 6/8 or ¾.
§ ¾ of the capacity is equal to 15 gallons. 3/4 x = 15. § Solving for x… x = 20. |
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An automobile gasoline gauge reads 1/8 full. After the gas tank is filled with 15 gallons, the gauge reads 7/8 full. What is the capacity of the tank?
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§ Subtract the amount of gas already in the tank from the amount filled. 7/8 – 1/8 = 6/8 or ¾.
§ ¾ of the capacity is equal to 15 gallons. 3/4 x = 15. § Solving for x… x = 20. |
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§ A family budgets 1/3 of its income for rent, ¼ for food and 1/6 for clothing. If the family has $420 left, what is their monthly income?
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· 1/3 + ¼ + 1/6 = ¾
· 1 – ¾ = ¼. · ¼ x = 420. Solving for x… x = 1680. |
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§ Travis makes a 255-mile trip by car. He drives the first 2 hours at 45 miles per hour. At what speed must he travel for the remainder of the trip in order to arrive at his destination 5 hours after he started the trip?
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· First begin by finding the total distance he already traveled: 45 x 2 = 90 miles already traveled.
· Subtract to 90 from 255 to find total distance needed to travel: 255 – 90 = 165 miles. · He already traveled 2 hours, and the question asks how long it will take him to travel the remaining distance 5 hours AFTER he started, so subtract 2 from 5 to get 3 hours. · D = R x T, 165 = 3r. 165 / 3 = 55 miles per hour. |
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§ One pipe can fill a tank in 8 minutes, another in 12 and another in 24 minutes. How long would it take all 3 pipes, working together to fill the tank?
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§ H/8 + H/12 + H/24 = 1
§ Solving for H…H =4 minutes. |
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§ Working alone, Allen can build a fence in 8 hours, and Danny can build the same fence in 16 hours. If after working alone for 2 hours, Allen is joined by Danny, how many more hours will it take the two of them to complete the fence?
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§ Allen has worked two hours, so he has completed 2/8 of the job.
§ Danny joins him, so we will get: 2/8 + x/8 + x/16 = 1 § Solving for x… x = 4 hours. |
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A lawn is 21 feet wide and 39 feet long. How much will it cost to weed and feed it if a gardening service charges $0.40 per square yard for this treatment?
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§ First convert feet to yards. 3ft = 1yd. 21/3 = 7, 39/3 = 13.
§ Area of a rectangle is l x w. 13 x 7 = 91. 91 x 0.4 = $36.40. |
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O In a clothing factory, 5 workers finish production of 6 garments each per day, 3 others turn out 4 garments each per day, and one worker turns out 12 per day. What is the average number of garments produced per worker per day?
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§ The key word in this problem here is EACH. First find the total number of garments: 5 x 6 = 30, 3 x 4 = 12, 1 x 12 = 12. Add these together to get 54 total garments. Now divide this by the total number of workers. 54 / 9 = 6.
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