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If z is an integer, is $$\frac{z}{3}$$ an odd integer?1. z is a multiple of 3.2. z is a multiple of 9.a
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Q is a set of integers and 11 is in Q. Let Q denote any element in the Q set. Is every positive multiple of 11 in Q?1. Q+ 11 is in Q.2. Q- 11 is in Q.
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Does q have a distinct value?1. $$({2}{q}-{3})^{2}={q}^{2}$$2. $$\sqrt{l2-q}={3}$$
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Some tickets to the men's and women's final of a certain tennis tournament are given away, the rest are sold at the box office. The ratio of the total number of tickets to the men's final to the total number of tickets to women's final is 3 to 2. Of the total number of tickets for both finals, what fraction was purchased at the box office?1. The total number of men's final tickets and women's final tickets is 1240.2. Of the men's final tickets, exactly 90 percent were purchased, and of the women's finals tickets, exactly 80 percent were purchased.
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A share of company P is 20 percent more expensive than a share of company Q. What is the ratio of the total value of shares outstanding of company Q to the total value of shares outstanding of company P?1. The trading volume of shares of company Q is 25 percent more than that of company P.2. The value of shares outstanding of company Q is $6,000,000 and the value of shares outstanding of company P is $8,000,000.
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If $${u}={v}^{4}$$, what is the value of $$\frac{v}{u}$$ ?1. u = 162. uv =32
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A computer generates paths along the vertices of the parallelogram above. It moves in such a way that its path always consists of a side, a diagonal, and then a side and it never ends at the same vertex it begins with, i.e., PQ → QOS → SR. For each vertex on a path, the computer generates a random number. The sum of the numbers on one diagonal is equal to the sum on the other. For a given path, what is the number generated for vertex P?1. The sum of Q and R is always 15 and S carries number 4.2. The intersection of the diagonals, O,carries number 2.
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If Z is an infinite subset of real numbers, is there a number in Z that is greater than every other number in Z?1. Every number in Z is divisible by 5.2. Every number in Z is a negative multiple of a prime number.
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If xy + z = z, is |x-y| > 0 ?(1) x ≠ 0(2) y = 0
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OG12
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In the xy-plane, the line with equation ax + by + c = 0, where $$abc \neq 0$$, has slope$$\frac{2}{3}$$. What is the value of b?(1) a = 4(2) c = −6
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应用题
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If a is an integer, is a < 4 ?(1) $${10}^{-2a+2}<{0.001}.$$(2) $${10}^{-2a}<{0.0001}.$$
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If x and y are integers, and $${y}={x}^{3}$$, does x = y?(1) y is a factor of x.(2) x is a multiple of y.
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A set of Manhattan Review practice questions for all sections of the GMAT is l centimeters long, m centimeters wide, and n centimeters thick. These sets are shipped in a box which is l centimeters wide and m centimeters deep. How long does the box have to be to enable the shipping of 30 sets per box?1. n = 52. m = 20 and l = 27.5
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The base of the roof of a building has a pentagonal shape. The roof is constructed as a regular pyramid with a pentagon as its base. What is the total area of the lateral segments of the roof?1. The base of the pyramid has a perimeter of 30 meters.2. The faces of the pyramid are equal triangles.
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How many students does the Gotham City School of Business enroll each year if?1. The administration wants to maintain the faculty to students ratio of 2 to 15.2. The administration also wants to maintain the size of each cluster of students to be 60 students.
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If r,s, and t are integers, is rs + t divisible by 2?1. r is divisible by 3, and s is even.2. t is divisible by 3.
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What is the capacity of a fire reservoir, in thousands of cubic meters of water, which is currently filled up to three quarters of its capacity?1. If $${3}*{10}^{3}$$ thousand cubic meters of water were pumped into the reservoir, it would be filled to $$\frac{7}{8}$$ of its capacity.2. If $${6}*{10}^{3}$$ thousand cubic meters of water were removed from the reservoir, if would be filled to $$\frac{1}{2}$$ of its capacity.
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If u is a multiple of prime number is u a multiple of $${v}^{2}$$?1. v<62. u = 42
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Joern and Bin went on a year-long round-the-world backpacking tour starting January 1. Five days before the trip, each had opened a bank account. Then their insurance companies started to withdraw $300 from their accounts, respectively, on the first business day of each month. Assuming no other deposits or withdrawals, whose account had more money in it at the end of the year of travels?1. On April 15 during the tour, Bin's account had twice as much money as Joern's account.2. On June 15 during the tour, Bin's account had four times as much money as Joern's account.
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If$$ab\neq0$$ and$$a\neq3b$$ , what is the value of$${4a+6b}\over{a+3b}$$(1)a-3b = 6(2)$$2{{a}\over{a+3b}}=4$$
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