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444
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In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3) ?(1) The x-coordinate of point R is -1(2) Point R lies on the line y = -3.
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445
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What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?(1)The average height of the students in class X is 120 centimeters.(2)The average height of the students in class X and class Y combined is 126 centimeters.
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447
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If $${2}^{x+y}$$ = $${4}^{8}$$, what is the value of y?(1) $${x}^{2}$$ = 81(2) x − y = 2
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448
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Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was paid last week?(1)The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.(2)The salesman's sales last week totaled $5,000.
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449
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At a bakery, all donuts are priced equally and all bagels are priced equally. What is the total price of 5 donuts and 3 bagels at the bakery?(1)At the bakery, the total price of 10 donuts and 6 bagels is $12.90.(2)At the bakery, the price of a donut is $0.15 less than the price of a bagel.
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450
|
 In the figure above, is the area of triangular region ABC equal to the area of triangular region DBA ?(1) $$({A}{C})^{2}={2}({A}{D})^{2}$$(2)$$ \Delta $$ ABC is isosceles
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451
|
If r and s are positive integers, can the fraction r/s be expressed as a decimal with only a finite number of nonzero digits?(1) s is a factor of 100(2) r is a factor of 100
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452
|
If $$r > 0$$ and $$s > 0$$, is$$\frac{r}{s}<\frac{s}{r}$$ ?(1)$$\frac{r}{3s}=\frac{1}{4}$$(2)$$s = r + 4$$
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453
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If k is an integer such that 56 < k < 66, what is the value of k ?(1) If k were divided by 2, the remainder would be 1(2) If k + 1 were divided by 3, the remainder would be 0.
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454
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If x is a positive integer, then is x prime?(1) 3x + 1 is prime.(2) 5x + 1 is prime.
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455
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k, n, 12, 6, 17What is the value of n in the list above?(1)k < n(2)The median of the numbers in the list is 10.
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456
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If x and y are integers, what is the value of x + y ?(1) $$3<{\frac{x+y}{2}}<4$$(2) $$2<{x}<{y}<5$$
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457
|
Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?(1)Last year, the total amount that Arturo spent on his real estate taxes and home insurance was $$33\frac{1}{3}$$ percent of the amount that he spent on his mortgage payments.(2)Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.
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458
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If a, b, c, and d are positive numbers, is $$\frac a b < \frac c d$$ ?(1) $$0<\frac{(c-a)}{(d-b)}$$(2)$$(\frac{ad}{bc})^{2}<{\frac{ad}{bc}}$$
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459
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Is the number of members of Club X greater than the number of members of Club Y ?(1)Of the members of Club X, 20 percent are also members of Club Y.(2)Of the members of Club Y, 30 percent are also members of Club X.
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461
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If [x] denotes the least integer greater than or equal to x, is [x] = 0 ?(1) -1 < x< 1(2) x < 0
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462
|
If x and y are integers, is x > y?(1) x+y >0(2) $${y}^{x}$$ < 0
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463
|
If r and s are the roots of the equation $${x}^{2}+{b}{x}+{c}={0}$$, where b and c are constants, is rs < 0 ?(1) b < 0(2) c < 0
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464
|
 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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465
|
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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