the reflection of a positive integer is obtained by reversing its digits.for ex.321 is the reflection of 123.the difference between a five-digit integer and its reflection must be divisible by which of the following?A.2 B.4 C.5 D.6 E.9头疼死了.
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the reflection of a positive integer is obtained by reversing its digits.for ex.321 is the reflection of 123.the difference between a five-digit integer and its reflection must be divisible by which of the following?
A.2 B.4 C.5 D.6 E.9
头疼死了.
一个正整数的倒影就是把它的各位数字颠倒过来,例如123的倒影是321.一个5位正整数和它的倒影的差一定能被下列哪个数整除?
设原数A为10000a+1000b+100c+10d+e
则它的倒影B为10000e+1000d+100c+10b+a
A-B=9999a+990b-990d-9999e
=9(1111a+110b-110d-1111e)
能被9整除,选E
正整数的反映是通过颠倒数字的顺序得到的,例如321是123的反映。一个五位整数和它的反映之间的差必须能被下面哪个数整除?
答案:E
原因:这两个数的差的个位不一定是偶数,因此不一定能被2,4 ,6 整除,也不一定是0和5,因此也不一定能被5整除...
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正整数的反映是通过颠倒数字的顺序得到的,例如321是123的反映。一个五位整数和它的反映之间的差必须能被下面哪个数整除?
答案:E
原因:这两个数的差的个位不一定是偶数,因此不一定能被2,4 ,6 整除,也不一定是0和5,因此也不一定能被5整除
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