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PREP07 Test 1
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Is m + z > 0 ? (1) m - 3z > 0(2) 4z - m > 0
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PREP07 Test 2
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Is xy + xz = 0 ?(1) x = 0(2) y + z = 0
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Manhattan
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If 3x + 2y + 5z = 10 and 6x + 4y = 12, what is the value of z?
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What is the value of xy - yz?(1)y=2(2)x-z=5
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OG15 OG16 OG17 OG12
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 In the figure above, if z = 50, then x + y =
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If $$xyz > 0$$, is $${x}{y}^{2}{z}^{3} < 0$$ ?(1)$$y < 0$$(2)$$x > 0$$
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If x + y + z = 0, x + 2y + 3z = 0, and $$y \neq 0$$, then $$\frac{x}{y}$$ =
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OG18-定量推理
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What is the value of $$x^{2}yz - xyz^{2}$$, if x = -2, y = 1, and z = 3?
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OG19-定量推理
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What is the value of$$x^{2}yz - xyz^{2}$$, if x = -2, y =1, and Z= 3?
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191031
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The ratio of zinc to copper in X is 5:7, and the ratio of zinc to copper in Y is 8:7. Mix the equal amount of X and Y to produce a new mixture of Z. What is the ratio of zinc to copper in Z ?
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A can manufacturing company has 5 identical machines, each of which produces cans at the same constant rate. How many cans will all 5 machines produce running simultaneously for z hours?(1)Running simultaneously, 3 of the machines produce 72,000 cans in 2z hours.(2)Running simultaneously, 2 of the machines produce 24,000 cans in z hours.
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OG18-定量推理
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The function f is defined for each positive three-digit integer n by $${f}({n})={2}^{x}{3}^{y}{5}^{z}$$, where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m-v = ?
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X, Y and Z each try independently to solve a problem. If their individual probabilities for success are $$\frac{1}{4}$$, $$\frac{1}{2}$$ and $$\frac{5}{8}$$, respectively, what is the probability that X and Y, but not Z, will solve the problem?
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PREP07 Test 2
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A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number? (1) The sum of the digits was 10. (2) X < Y < Z
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PREP07 Test 1
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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16
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OG19-定量推理
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The function f is defined for each positive three-digit integer n by $$f(n) = 2^{x}3^{y}5^{z}$$, where x, y, and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that $$f(m) = 9f(v)$$, then $$m - v$$ =
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OG17 OG18 OG19 OG20 OG2022
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City X has a population 4 times as great as the population of City Y, which has population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
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OG20 OG2022
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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?
1.x = y
2.z = 60
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 Is the triangle above equilateral(1)x=y(2)z=60
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Manhattan
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What is the value of y? (1) 2 x + 2 y = 14 (2) 2 y + 2 z = 14
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