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题库 / Prep2007E2-DS-123
When positive integer n is divided by 3, the remainder is 2; and when positive integer t is divided by 5, the remainder is 3. What is the remainder when the product nt is divided by 15 ?
(1) n - 2 is divisible by 5.
(2) t is divisible by 3.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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条件二 n=28k+3 n除以7 余数只能为7 充分 选B
条件二 n/28余3 举例，当n=28+3=31时，31/7余3，当n=2*28+3=59时，59/7余3......则充分余数均为3
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