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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
71
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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