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OG17 OG18 OG19 OG20 OG2022
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The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?(1) The integers are consecutive odd numbers.(2) Of these integers, the greatest is 6 more than the least.
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OG17 OG18 OG19 OG20 OG2022
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A group consisting of several families visited an amusement park where the regular admission fees were $5,500 for each adult and $4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less than the regular admission fee. How many children were in the group?(1) The total of the admission fees paid for the adults in the group was $ 29,700.(2) The total of the admission fees paid for the children in the group was $4,860 more than the total of the admission fees paid for the adults in the group.
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OG16 OG17 OG18 OG19 OG20 OG2022
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A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?(1) The amount of the investment at the beginning of the second year was $4,160.00.(2) The amount of the investment at the beginning of the third year was $4,326.40.
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OG16 OG17 OG18
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If a and b are positive integers, is $$\frac{a}{b}$$ < $$\frac{9}{11}$$ ?(1) $$\frac{a}{b}$$ < 0.818(2) $$\frac{b}{a}$$ > 1.223
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OG16 OG17 OG18 OG19 OG20 OG2022
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Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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 Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?(1) Twice the length of MN is 3 times the length of MQ.(2) Point Q is between points M and N.
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OG16 OG17 OG18 OG19 OG20 OG20 OG2022
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 The figure above represents an L-shaped garden. What is the value of k?(1) The area of the garden is 189 square feet.(2) The perimeter of the garden is 60 feet
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PREP07 Test 1
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Each employee of Company Z is an employee of either Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z ?(1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.
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PREP07 Test 1
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Is x > y ? (1) x + y < 0(2) x - y > 0
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PREP07 Test 1
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Is m + z > 0 ? (1) m - 3z > 0(2) 4z - m > 0
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PREP07 Test 1
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This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease?(1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container.(2) Six cups of sugar from the container were used to make the cookies.
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PREP07 Test 1
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If the sum of three different numbers is 54, what is the largest number?(1) The largest number is twice the smallest number.(2) The sum of the two smaller numbers is 30.
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PREP07 Test 2
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If x, y, and z are integers, is x + y + 2z even?(1) x + z is even.(2) y + z is even.
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PREP07 Test 2
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What is the value of the positive integer m ?(1) When m is divided by 6, the remainder is 3. (2) When 15 is divided by m, the remainder is 6.
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PREP07 Test 2
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Store S sold a total of 90 copies of a certain book during the seven days of last week, and it sold different numbers of copies on any two of the days. If for the seven days Store S sold the greatest number of copies on Saturday and the second greatest number of copies on Friday, did Store S sell more than 11 copies on Friday? (1) Last week Store S sold 8 copies of the book on Thursday. (2) Last week Store S sold 38 copies of the book on Saturday.
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PREP07 Test 2
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Are the two nonzero integers x and y on opposite sides of 0 on the number line?(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.
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PREP07 Test 2
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One member of a committee of 5 men and 8 women resigned and was not replaced. What fraction of the remaining members were men? (1) 7 of the 12 remaining members were women. (2) The member who resigned was a woman.
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PREP07 Test 2
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If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece? (1) The length of the longest piece is twice the length of the shortest piece. (2) The sum of the lengths of the two shorter pieces is 15 meters.
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PREP07 Test 2
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If ax + b = 0, is x > 0 ? (1) a + b > 0 (2) a - b > 0
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PREP07 Test 2
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Are the integers z and f to the right of 0 on the number line? (1) The product of z and f is positive. (2) The sum of z and f is positive.
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