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IKMC 2027 - Grades 7-8 - Self-study SET 7 - Thematic Batch 3 Question 2

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 7 - Thematic Batch 3

Question 2

A heat wave in Dallol, Ethiopia lasts three months and rapidly evaporates a reservoir. In its first peak week, half the original water is lost; the second week loses another $1/6$ of the original amount, the third $1/12$, the fourth $1/20$, the fifth $1/30$, and so on. What fraction of the original water remains after the heat wave? Take one month as four weeks.

Question illustration
  1. $\frac1{12}$
  2. $\frac1{13}$
  3. $\frac16$
  4. $\frac15$
  5. $\frac1{20}$