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OG16
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The table above shows the number of students in a certain high school class who are boys and the number of students in the class who are studying biology. What is the total number of students in the class?(1)Of the boys in the class, 15 are studying biology.(2)The number of girls in the class is twice the number of students in the class who are not studying biology.
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PREP07 Test 2
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Is the integer n odd?(1)n is divisible by3.(2)2n is divisible by twice as many positive integers as n.
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OG12
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A family-size box of cereal contains more cereal and costs more than the regular-sizebox
of cereal. What is the cost per ounce of the family-size box of cereal?(1)The family-size box of cereal contains 10 ounces more than the regular-size box
of cereal.(2)The family-size box of cereal costs $5.40.
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Is $$x > k$$?(1)$${2}^{x}*{2}^{k}={4}$$(2)$${9}^{x}*{3}^{k}={81}$$
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In 1997 there were 300 female employees at Company C. If the number of female
employees at Company C increased by 60 percent from 1977 to 1987, by what percent
did the number of female employees at Company C increase from 1987 to 1997?(1)From 1977 to 1997 the number of female employees increased by 200 percent at
CompanyC.(2)In 1977 there were 100 female employees at Company C.
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If n is an integer and 2 < n < 6, what is the value of n?(1)n is a factor of 15.(2)n is a factor of 21.
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In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of $${r}^{2}+{s}^{2}$$?(1)The circle has radius 2.(2)The point $$(\sqrt 2$$, $$-\sqrt2)$$ lies on the circle.
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If $${s}^{4}{v}^{3}{x}^{7}<{0}$$, is $$svx<0$$?(1)$$v<0$$(2)$$v >0$$
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Is |v-x|<8(1)v and x are integers.(2)|v|= 4 and |x|= 6
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Is |x|+|x-1| = 1 ?(1)x≥0(2)x≤1
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If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?(1)Last January the ratio of the number of male employees to the number of female employees was 2 to 3.(2)Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.
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What is the remainder when the two-digit, positive integer x is divided by 3 ?(1)The sum of the digits of x is 5.(2)The remainder when x is divided by 9 is 5.
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If the product of the digits of the two-digit positive integer n is 2, what is the value of n ?(1)n is odd.(2)n is greater than 20.
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In 1993 Mr. Jacobs paid 4.8 percent of his taxable income in state taxes. In 1994 what percent of Mr. Jacobs' taxable income did he pay in state taxes?(1)In 1993 Mr. Jacobs's taxable income was $42,500.(2)In 1994 Mr. Jacobs paid $232 more in state taxes than he did in 1993.
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If n is the greatest positive integer for which $${2}^{n}$$ is a factor of $$10!$$, then n =
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Pat invested x dollars in a fund that paid 8 percent annual interest, compounded annually. Which of the following represents the value, in dollars, of Pat's investment plus interest at the end of 5 years?
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排列组合
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How many 4-digit positive integers are there in which all 4 digits are even?
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A box contains exactly 24 balls, of which 12 are red and 12 are blue. If two balls are to be picked from this box at random and without replacement, what is the probability that both balls will be red?
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Machine A, operating alone at its constant rate, produces 500 feet of a particular fiber in 2 hours. Machine B, operating alone at its constant rate, produces 500 feet of the same fiber in 3 hours. Machine C, operating alone at its constant rate, produces 500 feet of the same fiber in 5 hours. How many hours will it take machines A, B, and C, operating together at their respective constant rates, to produce 1,000 feet of the fiber?
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In a large investment firm, 25 percent of the male employees and 30 percent of the female employees are stockbrokers. If 60 percent of the firm's employees are males, what is the ratio of the number of male stockbrokers to the number of female stockbrokers?
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