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Which of the following ratios is most nearly equal to the ratio $$1 +\sqrt{5}$$ to 2?
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$$\frac7{\frac15}+\frac5{\frac17}=$$
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From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991?
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R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain?
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A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 10 percent ernployee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
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OG12 OG15
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Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?
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OG12
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Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
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OG12 OG15 OG16
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List I: 3, 6, 8, 19List II: x, 3, 6, 8, 19If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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What is the smallest integer n for which $${25}^{n} >{5}^{12}$$ ?
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KMFPS
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If x and y are different prime numbers, each greater than 2, which of the following must betrue?I $${x}+{y} \neq{91} $$II $$x - y$$ is an even integer.III $$\frac{x}{y}$$is not an integer.
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OG12
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If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
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OG12 OG15
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 The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?
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Which of the following is the product of two integers whose sum is 11?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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David has d books, which is 3 times as many as Jeff and $$\frac{1}{2}$$ as many as Paula. How many books do the three of them have altogether, in terms of d
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OG12 OG15 OG16 OG17
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An operation ◎ is defined by the equation a◎b=(a-b)/(a+b), for all numbers a and b such that a ≠ -b. If a ≠ -c and a ◎ c = 0, then c =
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
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When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k ?
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 In the figure above, is quadrilateral PQRS a parallelogram?(1) The area of ∆PQS is equal to the area of ∆QRS.(2) QR = RS
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