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The product of two consecutive positive integers CANNOT beA、a prime numberB、div
The product of two consecutive positive integers CANNOT beA、a prime numberB、div
游客
2025-02-23
19
管理
问题
The product of two consecutive positive integers CANNOT be
选项
A、a prime number
B、divisible by 17
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
此题可采用排除法。A有反例:1×2=2为质数;B有反例:17×18可以被17整除;C有反例:13×14是13的倍数;D有反例:2×3=6<10;因此选E。再来看看E为什么不对:因为4=1×4=2×2,若乘积个位数为4,则需由个位数为1和个位数为4的两个数,或者个位数均为2的两个数相乘,不可能是两个连续整数的乘积。
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