Help-Prep 帮我解决误区

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各位大牛帮我看看，为什么C是这一题的答案，如果能解释以下就更好了。

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[此贴子已经被作者于2008-5-2 21:02:21编辑过]

兔斯基

Statement (1) alone - no sufficient information about t
Statement (2)alone - no sufficient information about n

From the ques --- n = a*3 + 2

t = b*5 + 3

Using Statement (1) --- n = p*5 + 2

Thus n = 15*k + 2

Using Statement (2) --- t = q*3 + 3

Thus t = 15*j + 3

nt = 15*k(15*j + 3) + 30*j + 6

=> always leaves a remainder of 6 when divided by 15.