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PREP07 Test 2
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For Manufacturer M, the cost C of producing x units of its product per month is given by C = kx + t, where C is in dollars and k and t are constants. Last month, if Manufacturer M produced 1,000 units of its product and sold all the units for k + 60 dollars each, what was Manufacturer M's gross profit on the 1,000 units? (1) Last month, Manufacturer M's revenue from the sale of the 1,000 units was $150,000. (2) Manufacturer M's cost of producing 500 units in a month is $45,000 less than its cost of producing 1,000 units in a month.
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PREP07 Test 2
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A certain store sells chairs individually or in sets of 6. The store charges less for purchasing a set of 6 chairs than for purchasing 6 chairs individually. How much does the store charge for purchasing a set of 6 chairs? (1) The charge for purchasing a set of 6 chairs is 10 percent less than the charge for purchasing the 6 chairs individually.
(2) The charge for purchasing a set of 6 chairs is $20 more than the charge for purchasing 5 chairs individually.
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PREP07 Test 2
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At the bakery, Lew spent a total of $6.00 for one kind of cupcake and one kind of doughnut. How many doughnuts did he buy?(1) The price of 2 doughnuts was $0.10 less than the price of 3 cupcakes. (2) The average (arithmetic mean) price of 1 doughnut and 1 cupcake was $0.35.
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PREP07 Test 2
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How much time did it take a certain car to travel 400 kilometers?(1) The car traveled the first 200 kilometers in 2.5 hours. (2) If the car's average speed had been 20 kilometers per hour greater than it was, it would have traveled the 400 kilometers in 1 hour less time than it did.
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PREP07 Test 2
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Each of the offices in a certain building has a floor area of 200, 300, or 350 square feet. How many offices are on the first floor of the building? (1) There is a total of 9,500 square feet of office floor space on the first floor of the building. (2) Ten of the offices on the first floor have floor areas of 350 square feet each.
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PREP07 Test 2
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Do more than 50 percent of the children in a certain group have brown hair? (1) 70 percent of the boys in the group have brown hair. (2) 30 percent of the children in the group are girls with brown hair.
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PREP07 Test 2
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Is the integer n a multiple of 15 ? (1) n is a multiple of 20. (2) n + 6 is a multiple of 3.
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PREP07 Test 2
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The lifetimes of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m + d ? (1) 68 percent of the distribution lies in the interval from m - d to m + d, inclusive. (2) 16 percent of the distribution is less than m - d.
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PREP07 Test 2
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For each home sold in County X, the buyer and the seller each must pay to County X a tax of 0.5 percent of the sale price of the home. Colleen recently sold her old home and bought a new home, both in County X. What was the total tax that Colleen paid to County X on these home sales? (1) Colleen's old home had a sale price of $169,500.
(2) Colleen's new home had a sale price 20% greater than that of her old home.
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PREP07 Test 2
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Linda, Robert, and Pat packed a certain number of boxes with books. What is the ratio of the number of boxes of books that Robert packed to the number of boxes of books that Pat packed? (1) Linda packed 30 percent of the total number of boxes of books. (2) Robert packed 10 more boxes of books than Pat did.
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PREP07 Test 2
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Is the three-digit number n less than 550 ?(1) The product of the digits in n is 30. (2) The sum of the digits in n is 10.
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PREP07 Test 2
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For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $150 ?
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PREP07 Test 2
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If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?
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PREP07 Test 2
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 If w, x, y, and z are numbers on the number line shown, which of the following products is least?
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PREP07 Test 2
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A pair of shoes is on sale for $60. If this price is 20 percent less than the regular price of the shoes, what is the regular price of the shoes?
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PREP07 Test 2
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 If the two regions above have the same area, what is the ratio t : s ?
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PREP07 Test 2
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After a fisherman sold $$\frac{1}{2}$$ of the fish he had caught and gave away $$\frac{1}{2}$$ of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?
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PREP07 Test 2
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For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 * 5 * 5. How many two-digit positive integers have length 6 ?
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PREP07 Test 2
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240, 120, 60, 30, . . . In the sequence above, each term after the first is ½ of the preceding term. What is the least term of the sequence that is greater than 1 ?
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PREP07 Test 2
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A box contains 25 red blocks, 100 blue blocks, and 175 yellow blocks. What is the probability that a block picked at random from the box will be red?
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