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217
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The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?(1)Each of the k employees who shared the cost of the dinner paid $19.(2)If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
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218
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What is the value of x?(1) x + 1 = 2 - 3x(2) $$\frac{1}{2x} = 2$$
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219
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Is the integer n a prime number?(1) $$24 \le n \le 28$$(2) n is not divisible by 2 or 3.
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220
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What is the sum of the first four terms of sequence S?(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.(2) The average (arithmetic mean) of the first three terms of S is 10.
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221
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If x and y are positive integers, what is the remainder when $$10^{x} + y$$ is divided by 3?(1) x =5(2) y = 2
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222
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What was the amount of money donated to a certain charity?(1) Of the amount donated, 40 percent came from corporate donations.(2) Of the amount donated, $1.5 million came from noncorporate donations.
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223
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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 pencil than regular pencils. All taxes on the order are a fixed percent of the pretax price. 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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224
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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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225
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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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226
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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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227
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Which of the positive numbers x or y is greater?(1) y = 2x (2) 2x + 5y =12
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228
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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 Cj $$(1 \leq j \leq 4)$$. 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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229
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Was the range of the amounts of money that Company Y budgeted for its project 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 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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230
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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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231
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Is xm < ym?(1) x > y(2) m < 0
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232
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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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233
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If $$rs\neq 0$$, is $$ \frac{1}{r} + \frac{1}{s} = 4$$(1) r + s = 4rs(2) r = s
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234
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If x, y, and z are three integers, are they consecutive integers?(1) z - x = 2(2) x < y < z
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235
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A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1)The units digit of the sum of the numbers on the remaining 35 cards is 6.(2)The sum of the numbers on the remaining 35 cards is 176.
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236
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In the xy-plane, point (r,s)lies on a circle with center at the origin. What is the value of $$r^{2} + s^{2}$$?(1) The circle has radius 2.(2) The point $$(\sqrt{2}, - \sqrt{2})$$ lies on the circle.
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