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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?(1)At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.(2)At Store L the discount price is $5 less than the regular store price; at Store M the discount price is $6 less than the regular price.
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OG12
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If n and t are positive integers, is n a factor of t?(1)$$n=3^{n-2}$$(2)$$t=3^{n}$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Are all of the numbers in a certain list of 15 numbers equal?(1)The sum of all the numbers in the list is 60.(2)The sum of any 3 numbers in the list is 12.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If n is a positive integer and $$k = {5.1}*{10}^{n}$$, what is the value of k ?(1)$$6,000 < k < 500,000$$(2)$${k}^{2}={2.601}*{10}^{9}$$
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OG12 OG15
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If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?(1)Rafael has more than 5 tapes.(2)Carmen has fewer than 12 tapes.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle?(1)The area of the triangle is 25 square centimeters.(2)The 2 legs of the triangle are of equal length.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?(1)Last year the closing balance of Carl's account for April was less than $2,625.(2)Last year the closing balance of Carl's account for June was less than $2,675.
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PREP07 Test 1
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If a, b, k, and m are positive integers, is $${a}^{k}$$ a factor of $${b}^{m}$$? (1) a is a factor of b. (2) $$k \leq m$$
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K is a set of integers such that if the integer r is in K, then r + 1 is also in K. Is 100 in K?(1) 50 is in K.(2) 150 is in K.
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From 1985 to 1994, what was the percent increase in total United States trade?(1) Total United States trade in 1985 was 17 percent of gross domestic product in 1985.(2) Total United States trade in 1994 was 23 percent of gross domestic product in 1994.
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 Is quadrilateral ABCD a square?(1) AB = BC = CD = DA(2) x + y = 180
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If the average (arithmetic mean) of 5 different numbers is 12, what is the median of the 5 numbers?(1) The median of the 5 numbers is equal to $$\frac{1}{3}$$ of the sum of the 4 numbers other than the median.(2) The sum of the 4 numbers other than the median is equal to 45.
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Sue's monthly earnings consist of a monthly salary and a 4 percent commission on the portion of her monthly sales that is in excess of $2,000. If Sue's monthly salary was the same in July as in August, how much greater were her sales in July than in August?(1) Sue's monthly earnings were $3,620 in July and $3,580 in August.(2) Sue's monthly salary was $3,500 in July and in August.
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OG18-数学分册
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For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour, where r>100. Did a particular landscaping job take more than 10 hours?(1) The contractor charged a total of $288 for the job.(2) The contractor charged a total of 2.4r dollars for the job.
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There were 2 apples and 5 bananas in a basket. After additional apples and bananas were placed in the basket, the ratio of the number of apples to the number of bananas was $$\frac{1}{2}$$. How many apples were added? (1) The number of apples added was $$\frac{2}{3}$$ the number of bananas added. (2) A total of 5 apples and bananas were added.
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Development planners determined the number of new housing units needed in a certain area by using the formula H = kJ, where H is the number of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant. How many new housing units did the planners determine were needed?(1) The number of new jobs to be created was 60,000.(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.
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OG16 OG17
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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.
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Is the integer n even?(1) n – 5 is an odd integer.(2) n/5 is an even integer.
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If every car sold last week at a certain used-car dealership was either a coupe or a sedan, what was the average (arithmetic mean) sale price for all the cars that were sold at the dealership last week?(1) The average sale price for the sedans that were sold at the dealership last week was $10,600.(2) The average sale price for the coupes that were sold at the dealership last week was $8,400.
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OG15 OG16 OG17 OG18
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In Mr, Smith's class, what is the ratio of the number of boys to the number of girls?(1) There are 3 times as many girls as boys in Mr. Smith's class.(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class
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