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求教数学DF!!!!!

求教数学DF!!!!!

请教几道数学问题,情写明思路,谢谢!!!!!!!!!!
1.What is the value of n?
(1) n(n –1)(n – 2 ) = 0
(2) n2 + n – 6 = 0

答案是C(但我觉得应该是E)

1. At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?
(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served to all the guests at the picnic.



答案是C(我觉得是E)

if n is an integer, then n is divisible by how many positive integers?
(1) n is the product of two different prime numbers.
(2) n and 23are each divisible by the same number of positive integers.

答案是D

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第一条题目,   如果n(n-1)(n-2) =0     n = o  or 1 or 2.   
                                            n2+n-6=0        n=-3 or 2 .      
                                      两个取交集, n=2        xuan  c  .

第二条题目, 假设宾客人树为A. 根据条件一和二. 0.6a*2 +0.4a*1=120 .  那总的宾客树就出来了. 那其中的0.6 也就出来了

第三条  (1) N 是两个质数的积,  那这两个质数就是他的因子,  而且1不是质数哦
      (2) N 和23被同样数量的整数除,  23的因子为 1 和23. 所以N也就两个.  

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If n is an integer, then n is divisible by how many positive integers?
(1) n is the product of two different prime numbers.
(2) n and 23 are each divisible by the same number of positive integers.


(1) Suppose n = pq, where p and q are different primes.  As neither prime have any nontrivial factors, the factors of n are 1, p, q, and pq = n.  So there are four positive integers that are factors of n.

(2) 23 is a prime number, so it has exactly two factors.  That means n also has 2 factors.

Therefore, D is the correct answer.

One thing unusual about this question:  The answers obtained by (1) and (2) are not the same.  Normally for the GMAT, the answers are the same.  I wonder whether there is a typographical error in (2).

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