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APMOPS 2001 Question 26

APMOPS · APMOPS 2001

Question 26

Minghua poured out $\frac12$ of the water in a container. In the second pouring, he poured out $\frac13$ of the remaining water; in the third, $\frac14$; in the fourth, $\frac15$; and so on. After how many times of pouring will the remaining water be exactly $\frac1{10}$ of the original amount?