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GRE数学

  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.

  解析

  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。

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