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VTMO 2026 - Grade 6 - Semifinal - SET 5 - Self-study Question 12

VTMO · VTMO 2026 - Grade 6 - Semifinal - SET 5 - Self-study

Question 12

Hạnh writes the fractions $\frac1{98},\frac2{97},\frac3{96},\frac4{95},\ldots,\frac{95}4,\frac{96}3,\frac{97}2,\frac{98}1$. How many of the written fractions use exactly two different digits? Examples are $\frac9{90},\frac{33}{66},\frac{45}{54}$. Count digits as written, without simplifying the fractions.

Question illustration
  1. 8
  2. 9
  3. 10
  4. 17
  5. 18