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OG16 OG17 OG18 OG19 OG20 OG2022
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Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was planted with soybeans and 50 percent of the cleared land was planted with wheat. If the remaining 720 acres of cleared land was planted with corn, how many acres did the farmer own?
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At an auction, each of the bids on a certain clock after the first bid was $100 greater than the immediately preceding bid. What was the amount of the last bid on the clock?(1) The first bid on the clock was $450.(2) The fourth bid on the clock was $300 less than the amount of the last bid.
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If $${x}^{2}={4}$$ and $${y}^{2}={7}$$, then $${x}^{6}-{y}^{4}=$$
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If $$N = \frac{1}{3} + \frac{1}{(3^2) }+ \frac{1}{(3^3)}$$, then N is between
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Each of 20 parents chose one of five days from Monday through Friday to attend parent-teacher conferences. If more parents chose Monday than Tuesday, did at least one of the parents choose Friday?(1) None of the five days was chosen by more than 5 parents.(2) More parents chose Monday than Wednesday.
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A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot's average speed, in miles per hour, for the round-trip?
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Which of the following is closest to $${10}^{180}-{10}^{30}$$ ?
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A sum of money was divided between John and Anne such that the ratio of John's share to Anne's share was 5 to 3. If John's share exceeded $$\frac{5}{9}$$ of the sum of money by $50, what was Anne's share?
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What is the probability that event E or event F or both will occur?(1) The probability that event E will occur is 0.6.(2) The probability that event F will occur is 0.4.
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If Diana's stamp collection, $$\frac{4}{5}$$ of the stamps are Canadian, and $$\frac{3}{7}$$ of the Canadian stamps were issued before 1940. If 192 stamps in Diana's collection are Canadian stamps that were issued in 1940 or later, how many stamps in her collection are not Canadian?
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OG16 OG17 OG18 OG19 OG20 OG2022
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For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?(1) The sales tax on the charge for labor was $9.60.(2) The total sales tax was $12.60.
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Which of the following is equal to $$\frac{1}{6}*({42})^{6}$$?
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If $1,000 will be deposited in a bank account and I is the dollar amount of interest earned from the original deposit, represented as $${I}={1000\{{({1}+\frac{r}{100})^{n}-{1}}}\}$$, and the annual interest rate is r percent, is $$r > 8$$ percent?(1) The deposit earns a total of $210 in interest in the first 2 years.(2) $$({1}+\frac{r}{100})^{2} >{1.15}$$
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OG17
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There are 161 employees at Company X. The above table shows the age category of all the employees. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?
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A certain right circular cylinder has a radius of 5 inches. There is a kind of liquid filled in this cylinder to the height of 9 inches. If this liquid is poured completely into a second right cylinder, then the liquid will fill the second cylinder to the height of 4 inches. What is the radius of the second cylinder, in inches?
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PREP07 Test 2
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If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?(1) q > 10(2) $${q}={2}^{k}$$, where k is a positive integer.
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On January 1, 1994, Jill invested P dollars in an account that pays interest at a rate of 8 percent per year, compounded annually on December 31. If there were no other deposits or withdrawals in the account, how many dollars were in the account on January 1, 1998, in terms of P?
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Of the three-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
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At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?(1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples.(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00
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Is $$({X}+{Y})^{3}$$ an even integer?(1) X and Y are integers.(2) XY=9
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