新航道

  3月份伴隨著新學(xué)期的開始，GRE考試的熱度也逐漸提升起來，參加3月5日GRE考試的考生不在少數(shù)，許多同學(xué)都期望在3月初就搞定GRE之后可以安心進(jìn)行其他留學(xué)申請(qǐng)環(huán)節(jié)的資料準(zhǔn)備，因此考生如果想要在3月和GRE分手并順利拿到高分，除了一如既往的努力準(zhǔn)備外，考前沖刺階段多刷最新機(jī)經(jīng)也是必不可少的。
  題目
  1. In a probability experiment, G and H are independent events. The probability that G will occur is r, and the probability that H will occur is s, where both r and s are greater than 0.
  Quantity A：the probability that either G will occur or H will occur, but not both
  Quantity B：r+s-r*s
  A. Quantity A is greater.
  B. Quantity B is greater.
  C. The two quantities are equal.
  D. The relationship cannot be determined from the information given.
  正確答案：B
  題目解析：G事件與H事件互相獨(dú)立，G事件概率為r, H事件概率為s，求兩事件其中之一發(fā)生的概率。
  只發(fā)生G事件：r*(1-s)
  只發(fā)生H事件：s*(1-r)
  相加可得 r+s-2*r*s，小于Quantity B，因此選B。
  2. The area of circle W is 16*π and the area of circle Z is 4*π. What is the ratio of the circumference of W to the circumference of Z?
  A. 2 to 1
  B. 4 to 1
  C. 8 to 1
  D. 16 to 1
  E. 32 to 1
  正確答案：A
  題目解析：根據(jù)圓形面積公式，可知兩圓的半徑比例為2:1，然后根據(jù)周長公式計(jì)算，其州長比例也為2:1。所以選A。
  3. The interior dimensions of a rectangular tank are as follows: length 110 centimeters, width 90 centimeters, and height 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?
  A. 230
  B. 235
  C. 240
  D. 245
  E. 250
  正確答案：D
  題目解析：已知水箱長寬高數(shù)據(jù)，和水結(jié)冰時(shí)會(huì)上升10%高度的推論，問水箱里可以裝多少水，其結(jié)冰時(shí)也不會(huì)超過水箱高度。設(shè)為x，列出1.1x=270，x約等于245，所以選D。
  4. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence? Indicate all such numbers.
  A. 5
  B. 8
  C. 11
  D. 16
  E. 35
  正確答案：A C E
  題目解析：第一項(xiàng)設(shè)為x，根據(jù)題目條件可知第二項(xiàng)2x-3，第三項(xiàng)2(2x-3)-3=4x-9，第四項(xiàng)依次類推為8x-21。接下來根據(jù)第四項(xiàng)=40算出x=5，代入前五項(xiàng)，分別算出5,7,11,40,35。其中符合條件的選項(xiàng)為ACE。
  5.
  The quadrants of the xy-plane are shown in the figure above. In the xy-plane, line m (not shown) has a positive slope and a positive x-intercept. Line m intersects which of the quadrants? Indicate all such quadrants
  A. Quadrant I
  B. Quadrant II
  C. Quadrant III
  D. Quadrant IV
  正確答案：A C D
  題目解析：本題關(guān)鍵在于看懂抽象描述。問直線m經(jīng)過哪幾個(gè)象限。條件positive slope可知m大致上是從左下往右上的斜線，那么第二和第四象限必然有一個(gè)不經(jīng)過或者兩個(gè)都不經(jīng)過，條件positive x-intercept表明m和x軸的正數(shù)側(cè)也就是右側(cè)相交，那么m經(jīng)過象限就是1,3,4，所以選ACD。

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