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Each of the following numbers has two digits blotted out. Which of the numbers could be the number of hours in x days, where x i
Each of the following numbers has two digits blotted out. Which of the numbers could be the number of hours in x days, where x i
admin
2009-05-19
86
问题
Each of the following numbers has two digits blotted out. Which of the numbers could be the number of hours in x days, where x is an integer?
选项
A、25■,■06
B、50■,■26
C、56■,■02
D、62■,■50
E、65■,■20
答案
E
解析
下面的每个数都被涂掉了两个数字。问下列哪一个是x(x是一个整数)天的小时数?
解:本题的正确答案是(E)。考生在解答该题时要注意应用整除的原则:一个数要想被另一个数整除,必须具有该数所具有的所有的质数因子。因为满足答案的数必须是x天的小时数,即24的倍数,24=2×2×2×3。如果一个数能被24整除,那么这个数必须满足三次被2整除和一次被3整除。能够被3整除的数的特性是各个数位上的数字的和能够被3整除,由于五个选项的百位、千位数未知,所以不能够用3来判定;同时由于这五个选项的千位数未知,所以也不可能用8来判定,退而求其次只能够用4来判定。而判定一个数能否被4整除,主要看这个数的后两位数能否被4整除。很显然,(E)为正确答案。请读者体会本题中的“Could be”。
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