作者SupingMoMo ( N NN  )
看板GMAT
标题Re: PrepT1-DS-Q167和Q170
时间Fri Nov 2 12:31:56 2007
※ 引述《Jinai (橘子汽水好喝~)》之铭言:
: 167
: If x, y, and z are integers and xy + z is an odd integer, is x an even integer?
: (1) xy + xz is an even integer.
: (2) y + xz is an odd integer.
: ans:(A)
条件式: xy+z = odd
与(1)相减 : (x-1)z = even - odd = odd
又odd 必为 odd * odd => x-1 为odd , 且z为odd
故由(1)即可知 x为even
但与(2)相减 : (x-1)(y-z) = odd - odd 为even
无法得知 x-1为 odd or even
故选(a)
我也不知道对不对@@"
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