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101
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$$3r \leq 4s + 5$$$$|s| \leq 5$$Given the inequalities above, which of the following CANNOT be the value of r ?
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102
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If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?
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103
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A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9. If n is a positive integer, for which of the following values of k is $$25 × 10^{n} + k × 10^{2n} divisible by 9 ?$$
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104
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The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?
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105
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 On the number line, the shaded interval is the graph of which of the following inequalities?
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106
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Of all the students in a certain dormitory, $$\frac1 2$$ are first-year students and the rest are second-year students. If $$\frac4 5$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
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107
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If the average (arithmetic mean) of x, y, and z is 7x and x ≠ 0, what is the ratio of x to the sum of y and z ?
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108
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$${(- 1.5)(1.2) - (4.5)(0.4)}\over{30} $$ =
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109
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In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x + y =
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110
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If a, b, and c are constants, a > b > c, and $$x^{3} ‒ x = (x ‒ a)(x ‒ b)(x ‒ c)$$ for all numbers x, what is the value of b ?
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111
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Company K’s earnings were $12 million last year. If this year’s earnings are projected to be 150 percent greater than last year’s earnings, what are Company K’s projected earnings this year?
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112
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$$17^{3} + 17^{4} = $$
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113
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Jonah drove the first half of a 100-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip?
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114
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What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
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115
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In the xy-plane, the points (c,d), (c,–d), and (–c,–d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?
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116
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For all numbers s and t, the operation * is defined by s * t =(s - 1)(t +1). If (- 2)* x = - 12, then x =
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117
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If the amount of federal estate tax due on an estate valued at $1.35 million is $437,000 plus 43 percent of the value of the estate in excess of $1.25 million, then the federal tax due is approximately what percent of the value of the estate?
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118
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If $$\frac{3}{10^{4}}$$ = x%, then x =
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119
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If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team’s average score for the n + 1 games?
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120
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At a certain pizzeria,$$\frac{1}{8}$$ of the pizzas sold in one week were mushroom and $$\frac{1}{3} $$ of the remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how many were mushroom?
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