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  3. 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2024-01-12  15
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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