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OG12
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 In the figure above, is CD > BC ?(1) AD = 20(2) AB = CD
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OG17 OG18 OG19 OG20 OG2022
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If the positive integer n is added to each of the integers 69,94, and 121, what is the value of n?(1) 69 + n and 94 + n are the squares of two consecutive integers.(2) 94 + n and 121 + n are the squares of two consecutive integers.
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OG17
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Jazz and blues recordings accounted for 6 percent of the $840 million revenue from the sales of recordings in Country Y in 2000. What was the revenue from the sales of jazz and blues recordings in Country Y on 1998?(1) Jazz and blues recordings accounted fro 5 percent of the revenue from the sales of recordings on Country Y on 1998.(2) The revenue from the sales of jazz and blues recordings in Country Y increased by 40 percent from 1998 to 2000.
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OG17 OG18 OG19 OG20 OG2022
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If x is a positive integer, what is the value of $$\sqrt{x+24}$$ - $$\sqrt{x}$$ ?(1) $$\sqrt{x}$$ is an integer.(2) $$\sqrt{x+24}$$ is an integer.
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OG17 OG18 OG19 OG20 OG2022
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The only articles of clothing in a certain closet are shirts, dresses, and jacket. The ratio of the number of shirts to the number of dresses to jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?(1) The total number of shirts and jackets inthe closet is less than 30.(2) The total number of shirts and dresses in the closet is 26.
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PREP07 Test 1
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How many different prime numbers are factors of the positive integer n ?(1) Four different prime numbers are factors of 2n.(2) Four different prime numbers are factors of $${n}^{2}$$.
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PREP07 Test 1
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If p is a positive odd integer, what is the remainder when p is divided by 4 ?(1) When p is divided by 8, the remainder is 5.(2) p is the sum of the squares of two positive integers.
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PREP07 Test 2
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x, 3, 1, 12, 8 If x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers?(1) x > 6(2) x is greater than the median of the 5 numbers.
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PREP07 Test 2
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If machine J, working alone at its constant rate, takes 2 minutes to wrap 60 pieces of candy, how many minutes does it take machine K, working alone at its constant rate, to wrap 120 pieces of candy? (1) Machine K, working alone at its constant rate, takes more than 5 minutes to wrap 60 pieces of candy. (2) Machines J and K, working together at their respective constant rates, take 1 minute and 30 seconds to wrap 60 pieces of candy.
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PREP07 Test 2
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In the xy-plane, point P has coordinates (a, b) and point Q has coordinates (c, d). What is the distance between P and Q ?(1) b - d = 4(2) a - c = 3
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PREP07 Test 2
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If a, b, and c are positive integers, is b between a and c ?(1) b is 3 greater than a, and b is 5 less than c. (2) c is 5 greater than b, and c is 8 greater than a.
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PREP07 Test 2
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At a certain refreshment stand, all hot dogs have the same price and all sodas have the same price. What is the total price of 3 hot dogs and 2 sodas at the refreshment stand?(1) The total price of 5 sodas at the stand is less than the total price of 2 hot dogs. (2) The total price of 9 hot dogs and 6 sodas at the stand is $21.
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PREP07 Test 2
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If x = 3 and y = 6, is y > nx + k ? (1) n = 5 (2) k = -10
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PREP07 Test 2
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Does x + c = y + c ? (1) x = y (2) x = c
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PREP07 Test 2
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To install cable television in a home, a certain cable company charges a basic fee of $30 plus a fee of $20 for each cable outlet installed in the home. How much did the cable company charge the Horace family for installing cable television in their home?(1) The cable company installed three cable outlets in the Horace family home.(2) The amount that the cable company charged the Horace family for installing cable television in their home was equivalent to an average (arithmetic mean) charge of $30 per cable outlet installed.
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PREP07 Test 2
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A store purchased 20 coats that each cost an equal amount and then sold each of the 20 coats at an equal price. What was the store's gross profit on the 20 coats? (1) If the selling price per coat had been twice as much, the store's gross profit on the 20 coats would have been $2,400. (2) If the selling price per coat had been $2 more, the store's gross profit on the 20 coats would have been $440.
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PREP07 Test 2
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All the clients that Company X had at the beginning of last year remained with the company for the whole year. If Company X acquired new clients during the year, what was the ratio of the number of clients that Company X had at the end of last year to the number of clients that it had at the beginning of last year? (1) The ratio of the number of clients that Company X had at the beginning of last year to the number of new clients that it acquired during the year was 12 to 1. (2) Company X had 144 clients at the beginning of last year.
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PREP07 Test 2
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If x and y are points on the number line, what is the value of x + y ?(1) 6 is halfway between x and y. (2) y = 2x
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PREP07 Test 2
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A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area? (1) The distance between point P and point X is 4.5.(2) The distance between point X and point Y is 9.
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PREP07 Test 2
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In a certain senior class, 72 percent of the male students and 80 percent of the female students have applied to college. What fraction of the students in the senior class are male?(1) There are 840 students in the senior class. (2) 75 percent of the students in the senior class have applied to college.
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