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PREP07 Test 2
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In a certain election, 240 men and 280 women voted for the winning candidate. What was the total number of men and
women who voted in the election?(1) The number of women who voted was 7/8 the number of men who voted.(2) Of the men and women who voted, 30 percent of the men and 40 percent of the women voted for the winning
candidate.
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PREP07 Test 2
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If mv < pv < 0, is v > 0 ? (1) m < p (2) m < 0
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PREP07 Test 2
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Lisa bought a house for $70,000 and paid closing costs equal to 2 percent of the purchase price. Later Lisa sold the house for $82,000 and paid a broker's commission equal to 10 percent of the selling price. What was Lisa's profit from the two transactions?
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PREP07 Test 2
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If x and y are points on the number line, what is the value of x + y ?(1) 6 is halfway between x and y. (2) y = 2x
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PREP07 Test 2
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A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray's surface is not covered by the cloth?
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PREP07 Test 2
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70, 75, 80, 85, 90, 105, 105, 130, 130, 130 The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
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PREP07 Test 2
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If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of $$p^2t$$ ?(1) m has more than 9 positive factors.(2) m is a multiple of $$p^3$$.
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PREP07 Test 2
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A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area? (1) The distance between point P and point X is 4.5.(2) The distance between point X and point Y is 9.
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PREP07 Test 2
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In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?
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PREP07 Test 2
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In a certain senior class, 72 percent of the male students and 80 percent of the female students have applied to college. What fraction of the students in the senior class are male?(1) There are 840 students in the senior class. (2) 75 percent of the students in the senior class have applied to college.
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PREP07 Test 2
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A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
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PREP07 Test 2
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Greta and Randy collected bottles to be recycled. How many bottles did Randy collect?(1) Greta and Randy collected a total of 85 bottles. (2) Greta collected 15 more bottles than Randy did.
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PREP07 Test 2
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If $$S={{n(n+1)}\over{2}}$$ and n = 40, then S =
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PREP07 Test 2
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If zt < -3, is z < 4 ?(1) z < 9 (2) t < -4
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PREP07 Test 2
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For any triangle T in the xy-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?
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PREP07 Test 2
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If k is a positive integer and the tens digit of k + 5 is 4, what is the tens digit of k ?(1) k > 35 (2) The units digit of k is greater than 5.
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PREP07 Test 2
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Lynn lent Robert $10,000 at 6 percent simple annual interest to be repaid at the end of 3 years. What was the total amount that Robert had to pay to Lynn?
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PREP07 Test 2
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If a and b are nonzero numbers on the number line, is 0 between a and b ? (1) The distance between 0 and a is greater than the distance between 0 and b.(2) The sum of the distances between 0 and a and between 0 and b is greater than the distance between 0 and the sum a + b .
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PREP07 Test 2
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Nathan took out a student loan for $1,200 at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is closest to the amount of interest that he owed for the 3 years?
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PREP07 Test 2
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In the xy-plane, line k passes through the point (1,1) and line m passes through the point (1,-1). Are lines k and m perpendicular to each other?(1) Lines k and m intersect at the point (1,-1).(2) Line k intersects the x-axis at the point (1,0).
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