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题库 / Prep2007E2-DS-61
When the positive integer n is divided by 25, the remainder is 13. What is the value of n ?
(1) n < 100
(2) When n is divided by 20, the remainder is 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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(2) n=25m+13,m=(0,1,2,3……）; n=20k+3,k=(0,1,2,3……）
25m+13=20k+3-->25m+10=20k-->1.25m+0.5=k, 因为k,m各自是整数，所以m*0.25=0.5，m,k=(2,3),(6,8)……，往后无限延伸。
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