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Ready4	The people at a workshop are from the countries England, France, and Japan in the ratio $7:2:4$ , respectively. If $520$ total people are at the workshop, how many more people are from England than from Japan?
Ready4	If $r$ is an integer and $s = (2r+1)^2$ , which of the following CANNOT be a divisor of $r$ ?
Ready4	In the triangle above, does $<font color='#FE8080'>a</font>^{2} + b^{2} = c^{2}$ ? (1) x + y = 90 (2) x = y
181215	There are 20 cars in a taxi company. The number of blue cars is larger than 10. The rest are red and green cars. How many are there in green? 1: The number of green cars is five times that of red cars. 2: There are 6 green cars and red cars in total.
190603	K equals to 1 plus the product of all prime numbers from 2 to 29, inclusive, which of the following statement about k is true? I. k can be divisible by prime numbers within 2-29 II. k is divisible by 30 III. k can be divisible by a prime number greater than 29
200301	x is a two-digit number, and the unites digit of x is greater than 1. What is the unites digit of x? (1). the units digit of $$x^2$$ is the same as the units digit of x (2). the units digit of $$x^3$$ is the same as the units digit of x
Magoosh	In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
OG18-数学分册	A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer's product per store, which of the following is closest to the total number of units of the manufacturer's product sold worldwide last year?
OG20 OG2022	If a building has 6,000 square meters of floor space, how many offices are in the building? 1.Exactly $$\frac{1}{4}$$ of the floor space is not used for offices. 2.There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.
Ready4	At his regular hourly rate, Ed estimated the cost of a research task to be $528 and he was paid that amount. However, the job took 8 hours less time than he had estimated and, consequently, he earned $11 per hour more than his regular hourly rate. What was the time Ed took to complete the task, in hours?
Ready4	The ratio, by volume, of salt to sugar to water in a certain solution is 3:5:7. The solution will be altered so the ratio of sugar to salt is doubled while the ratio of sugar to water is maintained. If altered solution will contain 7 cubic centimeters of water, how many cubic centimeters of salt will it contain?
Ready4	John works at a bookstore. If John saved $200 in three months, how much did he save in the second month? (1) John saved an average of $50 per month in the first and last months. (2) In the first month, John saved two-thirds of what he saved in the second and third months combined.
Ready4	A dealer has 15 cars, of which 9 are special edition vehicles. Four cars fit in the showroom and the rest are in the back lot. Each morning, the dealer randomly selects which four cars will be in the showroom that day. What is the probability that exactly three special edition vehicles will be in the showroom on any given day?
Ready4	If $x=p$ and $y=2p$ , where $p$ is a prime number greater than 2, how many different positive even divisors does $xy$ have, including $xy$ ?
Ready4	The value of an investment increased according to a variable annual rate such that its value in 2006 was 1.43 times its value in 1998. What was the value of the investment in 1998? The value was $373.80 more in 2006 than in 1998. The value of the investment was $1243.11 in 2006.
Ready4	Can a circular manhole cover fit exactly into the circular recessed area of the street? The recessed area of street measures 24 inches from one side to the other through its center point. The area of the surface of the manhole cover is $144 π$ inches squared.
Ready4	Each week Paige deposits $100 plus 10 percent of her weekly earnings over $1,000 into a savings account. What is the total amount Paige saved last week? The total amount Paige saved last week was equal to 10 percent of the amount she earned last week. Paige's earnings last week totaled $2,000.
Ready4	Pete has taken 10 tests for a particular class. If his lowest score is 80, is the average (arithmetic mean) score of the 10 tests greater than 90? (1) The average (arithmetic mean) of his seven highest test scores is 95. (2) The average (arithmetic mean) of his four lowest test scores is 85.
OG12 OG15 OG16	The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
OG16 OG17	For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that $${2}^{n}$$ is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ? (1) $$k>{m}$$ (2)$$\frac{K}{M}$$ is an even integer.