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217
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The figure above shows Line L, Circle 1 with center at $$C_1$$, and Circle 2 with center at $$C_2$$. Line L intersects Circle 1 at points A and B, Line L intersects Circle 2 at points D and £, and points $$C_1$$ and $$C_2$$ are equidistant from line L. Is the area of $$△ABC_1$$ less than the area of $$△DEC_2$$?
(1) The radius of Circle 1 is less than the radius of Circle 2.[br/[
(2) The length of chord $$\overline {AB}$$ is less than the length of chord $$\overline {DE}$$.
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218
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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to Atlanta departed at equally spaced times and all flights to New York City departed at equally spaced times. A flight to Atlanta and a flight to New York City both departed from Airport X at 1 :00 p.m. yesterday. Between 1 :00 p.m. and 3:00 p.m. yesterday, did another pair of flights to these 2 cities depart from Airport X at the same time?
(1) Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
(2) Yesterday at Airport X, flights to New York City departed every 15 minutes between 9:00 a.m. and 6:00 p.m.
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219
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Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week?
(1) Last week, full price for a copy of Magazine X was $1.50 and the total revenue from full-price sales was $112,500.
(2) The total number of copies of Magazine X sold last week at full price was 75,000.
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220
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If p, s, and tare positive, is $$|ps - pt| > p(s - t)$$ ?
(1) $$p < s$$
(2) $$s < t$$
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221
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ls $$x>y$$?
(1) $$x+y>x-y$$
(2) $$3x > 2y$$
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222
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In the figure above, $$\overline {AB}$$, which has length z cm, is tangent to the circle at point A, and $$\overline {BD}$$, which has length y cm, intersects the circle at point C. If $$BC= x$$ cm and $$z = \sqrt{xy}$$ , what is the value of x ?
(1) CD=x cm
(2) z =$$5\sqrt{2}$$
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223
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Is the integer n a prime number?
(1) $$24 \leq n \leq 28$$
(2) n is not divisible by 2 or 3.
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224
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What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?
(1) If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.
(2) The range of the 6 annual salaries is $31,500.
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225
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In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencils than regular pencils. All taxes on the order are a fixed percent of the pretax prices. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?
(1) The tax on the order was 5% of the total pretax price of the order.
(2) The order contained exactly 400 regular pencils.
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226
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If m is an integer greater than 1, is m an even integer?
(1) 32 is a factor of m.
(2) m is a factor of 32.
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227
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If the set S consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in S, but 10 is not in S.
(2) The sum of the even integers in S is 26.
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228
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If x > 0, what is the value of x ?
(1) $$x^{3} - x = 0$$
(2) $$\sqrt[3]{x}-x=0$$
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229
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A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $$R_i$$ ($$1 \leq i \leq 5$$). The average of the amounts in column j is $$C_j$$ ($$ 1\leq j \leq 4$$). What is the average of all 20 amounts on the spreadsheet?
(1) $$R_1 + R_2 + R_3 + R_4 + R_5 = 550$$
(2) $$C_1 + C_2 +.C_3 + C_4 = 440$$
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230
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Was the range of the amounts of money that Company Y budgeted for its projects last year equal to the range of the amounts of money that it budgeted for its projects this year?
(1) Both last year and this year, Company Y budgeted money for 12 projects and the least amount of money that it budgeted for a project was $400.
(2) Both last year and this year, the average (arithmetic mean) amount of money that Company Y budgeted per project was $2,000.
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231
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If a, b, c, and dare numbers on the number line shown and if the tick marks are equally spaced, what is the value of a + c ?
(1) $$a+b=-8$$
(2) $$a+ d= 0$$
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231
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 If a, b, c, and d are numbers on the number line shown and if the tick marks are equally spaced, what is the value of a + c?(1) a + b =-8(2) a +d = 0
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232
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Is xm < ym ?
(1) x > y
(2) m<0
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233
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If $$y = x^{2} - 6x + 9$$, what is the value of x?
(1) $$y= 0$$
(2) $$x + y= 3$$
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234
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What is the probability that Lee will make exactly 5 errors on a certain typing test?
(1) The probability that Lee will make 5 or more errors on the test is 0.27.
(2) The probability that Lee will make 5 or fewer errors on the test is 0.85.
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235
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If pis a positive integer, is $$2^{p} + 1$$ a prime number?
(1) p is a prime number.
(2) p is an even number.
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