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If $${x}^{3}{y}^{4}={5000}$$, is y = 5? (1) y is a positive integer. (2) x is an integer.
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排列组合
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A coin that is tossed will land heads or tails, and each outcome has equal probability. What is the probability that the coin will land heads at least once on two tosses?
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If f is the function defined by $${f}({x})={x}^{2}({1}-{x})^{2}$$ for all x, then f(1-x) =
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OG16 OG17 OG18 OG19 OG20 OG2022
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A three-digit code for certain logs uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
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OG17 OG18 OG19 OG20 OG2022
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A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?
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If $${9}{x}={27}^{y}$$, which of the following expresses x in terms of y?
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Was Lisa's annual salary at least twice as much as Julie's annual salary?(1) Lisa's annual salary was $20,000 more than Julie's annual salary.(2) Lisa's annual salary was less than $40,000.
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If $${x}^{2}-{y}={w}$$, what is the value of x?(1) w + y = 4(2) y = 1
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Which of the following is equal to $${5}^{17}\times{4}^{9}$$?
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If x and y are positive integers and y =$${\sqrt{9-x}}$$ , what is the value of y?(1) x <8(2) y > 1
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What is the remainder when the sum of the positive integers x and y is divided by 6?(1) When x is divided by 6, the remainder is 3.(2) When y is divided by 6, the remainder is 1.
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If b(a+1)=b, then ab =
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In an art gallery, 25 percent of the art pieces on display were photographs. If 12 percent of the photographs were black-and-white photographs, what percent of the art pieces on display were black-and-white photographs?
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If $$x\neq y$$, is x+y=xy?(1) (1-x)(1-y)=1(2) $${x}^{2}-{y}^{2}={x}^{2}{y}-{x}{y}^{2}$$
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数论
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What is the remainder when the positive integer x is divided by 8?(1) When x is divided by 12, the remainder is 5.(2) When x is divided by 18, the remainder is 11.
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What is the value of the product xy?(1) $$\frac{x}{y}=\frac{1}{5}$$(2) x+y=60
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The total amount that a certain bank loaned in 1998 was $47 million. How many dollars did the bank loan in June of 1998 for car loans?(1) 18 percent of the amount that the bank loaned in June of 1998 was for car loans.(2) 8 percent of the total amount that the bank loaned in 1998 was loaned in June.
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PREP07 Test 2 PREP08 Test 2
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According to the passage, Paczynski's theory presumes that if MACHO's constituted the Milky Way's dark halo, occasionally a MACHO would
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PREP07 Test 2 PREP08 Test 2
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It can be inferred from the passage that which of the following would constitute the strongest evidence of the microlensing of a star in the Large Magellanic Cloud?
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PREP08 Test 1
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The passage mentions which of the following as a basic consideration in administering minority-business funding programs?
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