PP2-DS-2

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PP2-DS-2

文章vantreal » 2007-09-18 17:44

2.
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.

Ans: (E)

(1) 8 is divisible by 4, but it's not a square of an integer.
16 is divisible by 4, but it's a square of an integer.
----> insufficient

(2) if it's exactly four different prime numbers,
K= a *b*c*d where a,b,c, d are different prime numbers.

my question here:
does that mean K can be a value of (a^2)*(b^2)*(c^2)*(d^2) ??? ;-$
vantreal
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文章hey » 2007-09-18 21:58

你對於條件二的想法是對的, 它說此數可以被4個不同的質數所除, 其沒有說此4個質數的次方數必須為1次方, 所以其可以各為2次方, 3次方..... 等
所以答案會是(E)
hey
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