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GMAT数学一道If n is a positive integer,what is the value of n (1

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GMAT数学一道
If n is a positive integer,what is the value of n
(1) When n is divided by 3,the remainder is 2.
(2) When n^2 is divided by 3,the remainder is 1.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 statement TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient答案是E 为什么不是B呢?
GMAT数学一道If n is a positive integer,what is the value of n (1
条件1和2应该是用来迷惑的吧,条件1可以推导出条件2
n=2(mod3)时,n2=4=1(mod3)必然成立,题中的充分条件就是混淆视听的
但是由条件1,2显然不能得出具体的n的值,从而选E