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The product of two consecutive positive integers CANNOT be
The product of two consecutive positive integers CANNOT be
admin
2009-05-19
117
问题
The product of two consecutive positive integers CANNOT be
选项
A、a prime number
B、divisible by 11
C、a multiple of 13
D、an even number less than 10
E、a number having 4 as its units digit
答案
E
解析
两个连续正整数的积不能是:
解:本题的正确答案是(E)。解决这类数字规律题一般情况下应采用排除法,通过找反例的途径来排除错误选项。(A)不对,因为惟一的例外是1×2=2;(B)显然不对,如10与11,11与12等;(C)同理也不对;(D)两个连续整数的积是一个偶数是肯定的,但完全可以大于10,所以不对。(E)找不到反例,两个连续正整数的积的个位数不可能为4。两个连续整数的积的个位数是由它们的个位数的积所决定的,考生很容易发现在0到9这10个数中任意两个连续整数的积的个位数都不等于4,即两个连续整数的积的个位数不可能是4。
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