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197
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In the xy-plane, circle C has center (1,0) and radius 2. If line k is parallel to the y-axis, is line k tangent to circle C?
(1) Line k passes through the point (-1,0).
(2) Line k passes through the point (-1,-1).
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198
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Company X's profits this year increased by 25% over last year's profits. Was the dollar amount of Company X's profits this year greater than the dollar amount of Company Y's?
(1) Last year, the ratio of Company Y's profits to Company X's profits was 5:2.
(2) Company Y experienced a 40% drop in profits from last year to this year.
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199
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For all x, the expression x* is defined to be ax+ a, where a is a constant. What is the value of 2 * ?
(1) 3*=2
(2) 5* = 3
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200
|
Is k + m < O ?
(1) k < O
(2) km> O
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201
|
The symbol △ represents which one of the following operations: addition, subtraction, or multiplication?
(1) $$a △ (b △ c)\neq a △(c △b)$$ for some numbers a, b, and c.
(2) $$a △(b △ c) \neq(a △b)△c$$ for some numbers a, b, and c.
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202
|
What is the value of $$2^{x}+2^{-x}$$?
(1) X > 0
(2) $$4^{x}+4^{-x}=23$$
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203
|
What is the ratio of c to d?
(1) The ratio of 3c to 3d is 3 to 4.
(2) The ratio of $$c + 3$$ to $$d + 3$$ is 4 to 5.
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204
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A candle company determines that, for a certain specialty candle, the supply function is $$p = m_1x +b_1$$ and the demand function is $$p = m_2x +b_2$$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_1$$, $$m_2$$, $$b_1$$, and $$b_2$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?
(1) $$m_1 = -m_2 = 0.005$$
(2) $$b_2 - b_1 = 6$$
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205
|
In the figure shown, lines k and mare parallel to each other. Is $$x = z$$?
(1) $$x = w$$
(2) $$y= 180- w$$
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206
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If k and £ are lines in the xy-plane, is the slope of k less than the slope of £ ?
(1) The x-intercept of line k is positive, and the x-intercept of line £ is negative.
(2) Lines k and £ intersect on the positive y-axis.
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207
|
When the wind speed is 9 miles per hour, the wind-chill factor w is given by
$$w= -17.366 + 1.19t$$,
where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
( 1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.
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208
|
What is the volume of the cube above?
( 1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is $$10\sqrt{3}$$ inches.
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209
|
[img]http://img.kmf.com/kaomanfen/img/gmat/QQ图片20190406001500.png[img]
In the figure shown, quadrilateral ABCD is inscribed in a circle of radius 5. What is the perimeter of quadrilateral ABCD?
(1) The length of AB is 6 and the length of CD is 8.
(2) AC is a diameter of the circle.
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210
|
How many members of a certain legislature voted against the measure to raise their salaries?
(1) $$\frac{1}{4}$$of the members of the legislature did not vote on the measure.
(2) If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been $$\frac{1}{3}$$.
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211
|
lf $$y\neq0$$,is $$|x|=1$$?
(1) $$x = \frac{y}{|y|}$$
(2) $$|x|=-x$$
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212
|
If x is a positive integer, what is the value of x?
(1) $$x^{2} = \sqrt{x}$$
(2) $$\frac{n}{x} = n$$ and $$ n\neq 0$$.
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213
|
Is the median of the five numbers a, b, c, d, and e equal to d?
(1) a< c< e
(2) b< d< c
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214
|
During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour? (1 kilometer= 1,000 meters)
(1) Sherry's average speed during the bicycle ride was faster than 7 meters per second.
(2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.
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215
|
Working together, Rafael and Salvador can tabulate a certain set of data in 2 hours. In how many hours can Rafael tabulate the data working alone?
(1) Working alone, Rafael can tabulate the data in 3 hours less time than Salvador, working alone, can tabulate the data.
(2) Working alone, Rafael can tabulate the data in $$\frac{1}{2}$$ the time that Salvador, working alone, can tabulate the data.
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216
|
If x and y are integers, what is the value of x?
(1) $$ xy= 1$$
(2) $$ x\neq 1$$
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