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81
|
A certain drive-in movie theater has a total of 17 rows of parking spaces. There are 20 parking spaces in the first row and 21 parking spaces in the second row. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?
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82
|
Ada and Paul received their scores on three tests. On the first test, Ada’s score was 10 points higher than Paul’s score. On the second test, Ada’s score was 4 points higher than Paul’s score. If Paul’s average (arithmetic mean) score on the three tests was 3 points higher than Ada’s average score on the three tests, then Paul’s score on the third test was how many points higher than Ada’s score?
|
|
83
|
The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did the price of the stock increase that day?
|
|
84
|
Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q’s share was $4,000, what was the total profit of the business partners for the year?
|
|
85
|
For each trip, a taxicab company charges $4.25 for the first mile and $2.65 for each additional mile or fraction thereof. If the total charge for a certain trip was $62.55, how many miles at most was the trip?
|
|
86
|
When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?I. n is even.II. n is a multiple of 5.III. n is a factor of 20.
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|
87
|
 In the rectangular coordinate system above, the area of triangular region RST is
|
|
88
|
What is the thousandths digit in the decimal equivalent of $$\frac{53}{5,000}$$?
|
|
89
|
The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B ?
|
|
90
|
What is the largest integer n such that $${1}\over{2^{n}}$$ > 0.01?
|
|
91
|
If x and y are integers such that $$2 < x \le 8$$ and $$2 < y \le 9$$, what is the maximum value of $$\frac{1}{x} - \frac{x}{y}$$?
|
|
92
|
Items that are purchased together at a certain discount store are priced at $3 for the first item purchased and $1 for each additional item purchased. What is the maximum number of items that could be purchased together for a total price that is less than $30 ?
|
|
93
|
The average (arithmetic mean) length per film for a group of 21 films is t minutes. If a film that runs for 66 minutes is removed from the group and replaced by one that runs for 52 minutes, what is the average length per film, in minutes, for the new group of films, in terms of t ?
|
|
94
|
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags at $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?
|
|
95
|
If x = -|w|, which of the following must be true?
|
|
96
|
Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?
|
|
97
|
One inlet pipe fills an empty tank in 5 hours. A second inlet pipe fills the same tank in 3 hours. If both pipes are used together, how long will it take to fill $$\frac{2}{3}$$of the tank?
|
|
98
|
For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d feet from the source is given by the formula $$ S = \frac{60K}{d^{2}}$$, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?
|
|
99
|
A certain financial institution reported that its assets totaled $2,377,366.30 on a certain day. Of this amount, $31,724.54 was held in cash. Approximately what percent of the reported assets was held in cash on that day?
|
|
100
|
 In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
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