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OG19-定量推理	If $$a= 1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64}$$ and $$ b = 1 + \frac{1}{4}a$$, then what is the value of $$a - b$$ ?
OG19-定量推理	In a certain learning experiment, each participant had three trials and was assigned, for each trial, a score of either -2, -1, 0, 1, or 2. The participant's final score consisted of the sum of the first trial score, 2 times the second trial score, and 3 times the third trial score. If Anne received scores of 1 and -1 for her first two trials, not necessarily in that order, which of the following could NOT be her final score?
OG19-定量推理	For all positive integers $$m$$ and $$v$$, the expression $$m\Theta v$$ represents the remainder when $$m$$ is divided by $$v$$. What is the value of $$((98 \Theta 33) \Theta 17) - (98 \Theta (33 \Theta 17))$$ ?
OG19-数学分册	The chart above shows year-end values for Darnella's investments. For just the stocks, what was the increase in value from year-end 2000 to year-end 2003?
OG19-定量推理	If the sum of the reciprocals of two consecutive odd integers is $$\frac{12}{35}$$ , then the greater of the two integers is
OG19-定量推理	What is the sum of the odd integers from 35 to 85, inclusive?
OG19-定量推理	In a certain sequence, each term after the first term is one-half the previous term. If the tenth term of the sequence is between 0.0001 and 0.001, then the twelfth term of the sequence is between
OG19-定量推理	A certain drive-in movie theater has a total of 1 7 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?
OG19-定量推理	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?
OG19-定量推理	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?
OG19-定量推理	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?
OG19-定量推理	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. Ill. n is a factor of 20.
OG19-定量推理	What is the thousandths digit in the decimal equivalent of $$\frac{53}{5,000}$$?
OG19-定量推理	The average (arithmetic mean) of the positive integers x, y, and z is 3. If x < y < z, what is the greatest possible value of z?
OG19-定量推理	The product of 3,305 and the 1-digit integer xis 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?
OG19-定量推理	What is the largest integer n such that $$\frac{1}{2^{n}}> 0.01$$ ?
OG19-定量推理	If x and y are integers such that $$2 < x \leq 8$$ and $$2 < y \leq 9$$, what is the maximum value of $$\frac{1}{x}-\frac{x}{y}$$ ?
OG19-定量推理	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 ?
OG19-定量推理	What is the least integer z for which $$(0.000125)(0.0025)(0.00000125) \times 10^{z}$$ is an integer?
OG19-定量推理	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?