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121
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What is the value of $$2x^{2} ‒ 2.4x ‒ 1.7$$ for x = 0.7 ?
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122
|
What is the remainder when $$3^{24}$$is divided by 5 ?
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123
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If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)
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124
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David used part of $100,000 to purchase a house. Of the remaining portion, he invested $$\frac{1}{3}$$ of it at 4 percent simple annual interest and $$\frac{2}{3}$$ of it at 6 percent simple annual interest. If after a year the income from the two investments totaled $320, what was the purchase price of the house?
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125
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The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?
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126
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Last year Department Store X had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
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127
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In the sequence $$ x_{0}, x_{1}, x_{2}, ..., x_{n}$$, each term from $$ x_{1}$$ to $$x_{k}$$ is 3 greater than the previous term, and each term from $$x_{k+1}$$ to $$x_{n}$$ is 3 less than the previous term, where n and k are positive integers and k < n. If $$ x_{0} = x_{n} = 0$$ and if $$ x_{k} = 15$$, what is the value of n?
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128
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If $$x \neq 2$$, then $${3x^{2}(x-2)-x+2}\over{x-2}$$=
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129
|
 In the figure shown above, line segment QR has length 12, and rectangle MPQT is a square. If the area of rectangular region MPRS is 540, what is the area of rectangular region TQRS ?
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130
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Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a production lot in 5 hours, and Machine B can fill the same lot in x hours. When the two machines operate simultaneously to fill the production lot, it takes them 2 hours to complete the job. What is the value of x ?
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131
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A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of the manufacturer’s product sold worldwide last year?
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132
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Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
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133
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Two numbers differ by 2 and sum to S. Which of the following is the greater of the numbers in terms of S ?
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134
|
 The figure shown above consists of three identical circles that are tangent to each other. If the area of the shaded region is $$64\sqrt{3} - 32π$$, what is the radius of each circle?
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135
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In a numerical table with 10 rows and 10 columns, each entry is either a 9 or a 10. If the number of 9s in the nth row is n – 1 for each n from 1 to 10, what is the average (arithmetic mean) of all the numbers in the table?
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136
|
A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28 ?
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139
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A window is in the shape of a regular hexagon with each side of length 80 centimeters. If a diagonal through the center of the hexagon is w centimeters long, then w =
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140
|
 In the figure shown, PQRSTU is a regular polygon with sides of length x. What is the perimeter of triangle PRT in terms of x?
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141
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In a certain medical survey, 45 percent of the people surveyed had the type A antigen in their blood and 3 percent had both the type A antigen and the type B antigen. Which of the following is closest to the percent of those with the type A antigen who also had the type B antigen?
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142
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On a certain transatlantic crossing, 20 percent of a ship`s passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship`s passengers held round-trip tickets?
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