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Magoosh题集

Magoosh针对GRE考试备考材料相对可以，其推出的GMAT模考题对时间固定GMAT考生来说，老师并不建议过多时间花费在该材料上。这些题可以作为词汇拓展训练。

361 If n is an integer, what is the least possible value of n such that $40,000,000 < 5^{n}$ ?
362 x and y are positive integers such that x < y. If$6\sqrt{6} =x\sqrt{y}$ , then xy could equal
363 Which of the following equations is true for all positive values of x and y?
364 How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits equal to 28?
365 If k is an integer and $121 < k^{2} < 225$, then k can have at most how many values?
366 The above 11 x 11 grid of dots is evenly spaced: each dot is separated by one unit, vertically or horizontally, from its nearest neighbors. Drawn in the diagram is a single right triangle with legs of length 2 & 1. How many right triangles, of this particular size and shape, in any orientation, can be formed by three dots from this grid?
367 $(30^{30}) × (29^{29}) × (28^{28}) × . . . × (3^{3}) × (2^{2}) × (1^{1}) = N$What is the highest value of K, such that $\frac{N}{(125^{K})}$ is an integer?
368 This year, a woman has a lucrative one-year position. During this year, she will give a fraction f of her salary to her husband, a private investor, to invest and they will live this year on the remainder. Through investments, her husband can turn each dollar she gives him into 1 + r, which will be deposited in a bank account. Their goal is to save & invest enough money so they can live off this money for two years following the end of the wife's position. Toward this end, they want to choose f such that the amount in the account at the end of the year is twice what they lived off this year. In terms of r, what should f be?
369 At a certain symphonic concert, tickets for the orchestra level were $50 and tickets for the balcony level were$30. These two ticket types were the only source of revenue for this concert. If R% of the revenue for the concert was from the sale of balcony tickets, and B% of the tickets sold were balcony tickets, then which of the following expresses B in terms of R?
370 If $6^{A} = 2, 6^{B} = 5, and 6^{Q} = 15$, then express Q in terms of A and/or B.
371 In the diagram above, JKL is an equilateral triangle. Point M is the midpoint of segment JL, and M is the center of a circle that passes through points J and L. The shaded regions in the diagram indicate all the regions inside the circle that are outside the triangle. What fraction of the total area of the circle is outside the triangle?
372 Pump A can empty a pool in A minutes, and pump B can empty the same pool in B minutes. Pump A begins emptying the pool for 1 minute before pump B joins. Beginning from the time pump A starts, how many minutes will it take to empty the pool?
373 A sum of money was distributed among Lyle, Bob and Chloe. First, Lyle received 4 dollars plus one-half of what remained. Next, Bob received 4 dollars plus one-third of what remained. Finally, Chloe received the remaining $32. How many dollars did Bob receive? 374 Sarah invested$38,700 in an account that paid 6.2% annual interest, compounding monthly. She left the money in this account, collecting interest for three full years. Approximately how much interest did she earn in the last month of this period?
375 If A, B and C represent different digits in the multiplication, then A + B + C =
376 Given that $n = 10^{a} + 10^{b} + 10^{c}$, where a, b, and c are distinct positive integers, how many different positive values of n result if n is less than 1 billion (1,000,000,000) ?
377 If a and b are integers and$(\sqrt[3]{a}×\sqrt{b})^{6} = 500$, then a + b could equal
378 If p and q are two different odd prime numbers such that p < q, then which of the following must be true?
379 In the diagram above, angle C = 90º and AC = BC. Point M is the midpoint of AB. Arc AXB has its center at C, and passes through A and B. Arc AYB has its center at M and passes through A and B. The shaded region between the two arcs is called a "lune." What is the ratio of the area of the lune to the area of triangle ABC?
380 In the diagram above, the triangle is equilateral with a side of 2. All three circles are of equal size and all are tangent to each other and to two sides of the triangle. Which of the following is the radius of one of the circles?

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