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[求助]prep一道数学题

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楼主
发表于 2008-10-18 20:59:00 | 只看该作者

[求助]prep一道数学题

DS: Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

(1) The median of the numbers in set S is 0

(2) The sum of the numbers in set S in equal to the sum of the numbers in set T

答案选C,但我觉2就可以啊,请NN来指点一下错误!

沙发
发表于 2008-10-18 21:19:00 | 只看该作者

1. alone can't

2. S and T are sets of consective integers,

   if only integers are all positive(but may not indicate all possiblities), so sum of th number S = 5 * median of S, T = 7 * median of T,  && S=T ==> can't be median of S equal to median of T

   with condition of 1, then Sets S will be S with median 0, 2 elements are less than 0 & 2 elements are bigger than 0,

  & in the case, the sum of the number will 0 = 0, which tells us that set T is just like set S with 3 numbers are less than 0 and 3 numbers are bigger than 0, so eventually we can conclude that the "yes",

  so choose C

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