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  1. If a truck is traveling at a constant rate of 90kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)

  A. 18

  B. 24

  C. 30

  D. 36

  E. 48

  答案:B

  解析:题干时速90公里的卡车需要多少秒通过600米的距离。首先换算时速90公里,90,000米/(60*60)秒=25米/秒,所以时间=距离/速度=600/25=24秒。

  2. If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small shaded portion to the area of the large shaded portion?(Note: Figure not drawn to scale)

  GRE数学1

  A. 1:8

  B. 1:6

  C. 1:4

  D. 1:3

  E. 1:1

  答案:D

  解析:题干问小的黑色阴影面积/大的黑色阴影面积等于多少。小的黑色阴影面积=18-12=6,大的黑色阴影面积=50-32=18,所以小的黑色阴影面积/大的黑色阴影面积=6/18=1:3

  3. AB is the diameter of the circle. If AF=BF= 3√2,and AC=5, what is the area of square BCDE?

  GRE数学

  答案:11

  解析:题干求正方形BCDE的面积,根据AF=BF=3 ,三角形ABF为直角三角形,得出AB=6。根据AC=5,三角形ABC为直角三角形,得出BC2=AB2-AC2=62-52=11。正方形BCDE的面积=BC2=11

  4. In a group of 45 children, 60 percent of the children are boys, and 60 percent of the children are left-handed.

  Column A:Number of boys who are left-handed

  Column B:8

  A. The quantity in Column A is greater

  B. The quantity in Column B is greater

  C. The two quantities are equal

  D. The relationship cannot be determined from the information given

  答案:A

  解析:男孩的数量为45*60%=27, 用左手的人所占的百分比为60%, 所以用左手的男孩为27*60%=16.2. 而B是8. 所以A更大,所以选A.

  5. X = sum of the first 31 positive odd integers

  Y = sum of the first 30 positive even integers

  Column A:X - Y

  Column B:30

  A. The quantity in Column A is greater

  B. The quantity in Column B is greater

  C. The two quantities are equal

  D. The relationship cannot be determined from the information given

  答案:B

  解析:已知公式,和=[(首项+末项)*项数]/2. 项数= [(末项-首项)/公差]+1

  X=1+3+5+7+…+31=(1+31)*16/2=256

  Y=2+4+6+8+…+30=(2+30)*15/2=240

  所以X-Y=256-240=16. 比30小,所以选B.

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