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 In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE. What is the area of the triangular region BCE?
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If k is negative, which of the following must also be negative?
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Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K. What is the median weight of the 89 boxes on these shelves?(1) The heaviest box on shelf J weighs 15 pounds.(2) The lightest box on shelf K weighs 20 pounds.
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If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle?(1) The length of each diagonal of the rectangle is 10.(2) The area of the rectangular region is 48.
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A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold.
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Which of the following is equal to $$[\frac{1}{\sqrt3-\sqrt{2}}]^{2}$$?
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PREP07 Test 1
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 The table above shows the number of days worked by a certain sales representative in each of three months last year. If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?
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GWD PREP08 Test 2
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The author mentions Malaysia and Thailand in order to
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If x and y are integers and x > 0, is y > 0?(1) 7x – 2y > 0(2) -y < x
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The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee's report, what is the probability that the two members selected will both be English teachers?
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Bob, Mia, and Lou each own a number of shares of stock in a company. How many shares does Lou own?(1) Bob and Mia together own a total of 800 shares.(2) Bob and Lou together own a total of 500 shares.
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In the xy-plane, what is the x-intercept of a certain line?(1) The line passes through the point (0,2).(2) The y-intercept of the line is 2.
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OG12 OG15 OG16 OG17 OG18
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If a < x < b and c < y < d, is x < y?(1)a < c(2)b < c
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OG12
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If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?(1)$$\frac{2}{3}$$ of the students in Section 1 are female.(2)$$\frac{1}{2}$$ of the students in Section 2 are male.
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OG12 OG15 OG16 OG17
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 The table above shows the results of a survey of 100 voters each responded “favorable” or “unfavorable” or “not sure” when asked about their impressions of candidate M and of candidate N. What was the number of voters who responded “favorable” for both candidates?(1)The number of voters who did not respond “favorable” for either candidate was 40.(2) The number of voters who responded “unfavorable” for both candidates was 10.
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OG12
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Leo can buy a certain computer for $${P}_{1}$$ dollars in State A, where the sales tax is $${t}_{1}$$ percent, or he can buy the same computer for $${p}_{2}$$ dollars in State B, where the sales tax is $${t}_{2}$$ percent. Is the total cost of the computer greater in State A than in State B ?(1)$${t}_{1} >{t}_{2}$$(2)$${p}_{1}{t}_{1} >{p}_{2}{t}_{2}$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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 On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?(1)q + s = 24(2)The average (arithmetic mean) of q and r is 11.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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At what speed was a train traveling on a trip when it had completed half of the total distance of the trip?(1)The trip was 460 miles long and took 4 hours to complete.(2)The train traveled at an average rate of 115 miles per hour on the trip.
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OG12 OG15 OG16 OG17
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If x and y are integers, is xy even?(1)$$x = y+1$$(2)$$\frac{x}{y}$$ is an even integer.
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OG12 OG15
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During a 6-day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90 ?(1)For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.(2)For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.
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