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PREP07 Test 2
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At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
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PREP07 Test 2
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To install cable television in a home, a certain cable company charges a basic fee of $30 plus a fee of $20 for each cable outlet installed in the home. How much did the cable company charge the Horace family for installing cable television in their home?(1) The cable company installed three cable outlets in the Horace family home.(2) The amount that the cable company charged the Horace family for installing cable television in their home was equivalent to an average (arithmetic mean) charge of $30 per cable outlet installed.
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PREP07 Test 2
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Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had
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PREP07 Test 2
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If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x + y ?(1) x < 500 (2) y < 400
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PREP07 Test 2
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A certain brand of gasoline costs $1.25 per gallon. Using this gasoline, if a car averages 30 miles to the gallon, what is the cost of the gasoline needed for the car to travel 120 miles?
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PREP07 Test 2
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A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
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PREP07 Test 2
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Each of the numbers w, x, y, and z is equal to either 0 or 1. What is the value of w + x + y + z ?(1) $$\frac{w}{2} + \frac{x}{4} + \frac{y}{8} + \frac{z}{16} = \frac{11}{16}$$(2) $$\frac{w}{3} + \frac{x}{9} + \frac{y}{27} + \frac{z}{81} = \frac{31}{81}$$
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PREP07 Test 2
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A certain list consists of five different integers. Is the average (arithmetic mean) of the two greatest integers in the list greater than 70 ? (1) The median of the integers in the list is 70.(2) The average of the integers in the list is 70.
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PREP07 Test 2
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If k and t are integers and $$k^2 - t^2$$ is an odd integer, which of the following must be
an even integer?I. k+t+2II. $$k^2+2kt+t^2$$III. $$k^2+t^2$$
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PREP07 Test 2
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A store purchased 20 coats that each cost an equal amount and then sold each of the 20 coats at an equal price. What was the store's gross profit on the 20 coats? (1) If the selling price per coat had been twice as much, the store's gross profit on the 20 coats would have been $2,400. (2) If the selling price per coat had been $2 more, the store's gross profit on the 20 coats would have been $440.
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PREP07 Test 2
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If x and y are positive, which of the following must be greater than $${1}\over{\sqrt{x+y}}$$?I. $${\sqrt{x+y}}\over{2x}$$II. $$(\sqrt{x}+ {\sqrt{y})}\over{(x+y)}$$III. $${(\sqrt{x}- \sqrt{y})}\over{(x+y)}$$
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PREP07 Test 2
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Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Bethreceive a greater dollar increase in salary than Jim?(1) Before the increases, Jim’s salary was greater than $25,000.(2) Before the increases, Jim’s salary was 4/5 of Beth’s salary.
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PREP07 Test 2
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What is the greatest prime factor of $${4}^{17} - {2}^{28}$$ ?
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PREP07 Test 2
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All the clients that Company X had at the beginning of last year remained with the company for the whole year. If Company X acquired new clients during the year, what was the ratio of the number of clients that Company X had at the end of last year to the number of clients that it had at the beginning of last year? (1) The ratio of the number of clients that Company X had at the beginning of last year to the number of new clients that it acquired during the year was 12 to 1. (2) Company X had 144 clients at the beginning of last year.
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PREP07 Test 2
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An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
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PREP07 Test 2
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In the xy-coordinate plane, line m and line k intersect at the point (4, 3). Is the product of their slopes negative?(1) The product of the x-intercepts of lines m and k is positive.(2) The product of the y-intercepts of lines m and k is negative.
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PREP07 Test 2
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The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula $$F = 120(2^{-at}) + 60$$, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
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PREP07 Test 2
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If n is a positive integer and r is the remainder when $$n^2 - 1$$ is divided by 8, what is the value of r ?(1) n is odd.(2) n is not divisible by 8.
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PREP07 Test 2
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If x is an odd integer, which of the following is also an odd integer?
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PREP07 Test 2
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The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
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