If k is a positive integer, is k the square of an integer?
1. k is divisible by 4
2. k is divisible by exactly four different prime numbers
答案B, B是什么思路呢?
谢谢!
再来一道!
k is divisible by exactly four different prime numbers
第一个题的第二个条件说恰好被四个不同的质数整除。
也就是说其质因子分解为4个不同质数的成积。
因为每一个数都可以分解为质因子乘积,对于平方数的特点应可以分解为几个质数成绩的平方。如36=(2*3)^2,144=(2^2*3)^2; 所以题目第二个条件不是质数乘积的平方,也就是说一定不为完全平方数。
k is divisible by exactly four different prime numbers
第一个题的第二个条件说恰好被四个不同的质数整除。
也就是说其质因子分解为4个不同质数的成积。
因为每一个数都可以分解为质因子乘积,对于平方数的特点应可以分解为几个质数成绩的平方。如36=(2*3)^2,144=(2^2*3)^2; 所以题目第二个条件不是质数乘积的平方,也就是说一定不为完全平方数。
同意!
Q18:
If k is a positive integer, is k the square of an integer?
(1) k is divisible by 4.
(2) k is divisible by exactly 4 different prime numbers.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer: E
这是 GWD 30-18题。一模一样但是答案是 E 头疼阿。。GWD 太多答案都不准了
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