为了便于大家更好的对GRE数学进行备考,获得GRE数学高分,智课小编为大家带来了GRE数学备考资料之习题+答案解析,一起来对以下GRE数学题目进行练习吧,在练习结束后大家可以参照答案解析了解解题思路及方法。

  1、When the even integer n is divided by 7, the remainder is 3.

  Quantity A:The remainder when n is divided by 14.

  Quantity B:10

  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.

  答案:C

  解析:因为该数为偶数,而余数为3,因此商与除数的乘积必为奇数,因此商必为奇数。设商为2k+1(k为大于等于零的整数),则该偶数可表示为7(2k+1)+3,化简,得14k+10.因此余数必为10。

  2、 P, Q, and R are three points in a plane, and R does not lie on line PQ. Which of the following is true about the set of all points in the plane that are the same distance from all three points?

  A. It contains no points.

  B. It contains one point.

  C. It contains two points.

  D. It is a line.

  E. It is a circle.

  答案:B

  解析:两条相连线段的中线只有一个焦点,到P和Q两点相同的点必定PQ的垂直平分线上, 到P和R两点相同的点也必定在PR的垂直平分线上,由于R不在PQ上,说明PQ的垂直平分线和PR的垂直平分线不平行,相交于一点,这一点到这PQR三点的距离相等,其实就是确定了一个圆心,不在一条直线上的三点确定一个圆。

  3、If 2, 4, 6, 9 are the digits of two 2-digit integers, what is the least possible positive difference between the integers?

  A. 28 B. 27 C. 17 D. 13 E. 9

  答案:D

  解析:此题可以用带入求值的方法来进行计算,可知当一个数是49,另外一个数字是62的时候,两个数字的差为13,是最小的。

  4、 A box at a yard sale contains 3 different china dinner set, each consisting of 5 plates. A

  customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates

  selected will be from the same dinner set?

  A. 2/7

  B. 2/5

  C. 2/3

  D. 5/6

  E. 3/2

  答案:A

  解析:分子的表达方式是从5个盘子中选2个,一共有10种选法,然后有3个不同的set,所以再乘以3,所以分子是30,分母是从15个盘子中选2个,算出来是105,所以最终答案是30/105=2/7。

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