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VTMO 2026 - Grade 7 - Semifinal - SET 6 - Self-study Question 15

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 6 - Self-study

Question 15

Hạnh writes the fractions $\frac1{998},\frac2{997},\frac3{996},\frac4{995},\ldots,\frac{995}{1},\frac{996}{3},\frac{997}{2},\frac{998}{1}$ on the board. How many of these written fractions use exactly two distinct digits? Examples: $\frac9{990},\frac{333}{666},\frac{445}{544}$.
  1. $27$
  2. $36$
  3. $38$
  4. $44$
  5. $46$