11.
If p is a positive odd integer, what is the remainder when p is divided by 4 ?
(1) When p is divided by 8, the remainder is 5.
(2) p is the sum of the squares of two positive integers.
我选的A,答案是B。想不明白了。
如果P是个奇数,被8除余5,那么被4除余1啊。相反,B才没法得出答案啊。
请大家指教。数学忘的差不多了。哎~~~
我也觉得是D啊。我是这么想的:
(1)就不说了,(2)得出:
两个正整数的平方和是一个奇数,则两个正整数的平方一定是一奇一偶,所以两个正整数一定一奇一偶。
偶数的平方一定能被4整除,而奇数的平方被4除一定余1。
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