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VTMO 2017 — Grade 9 — semifinal Question 2

VTMO · VTMO 2017 — Grade 9 — semifinal

Question 2

The sum of squares of three consecutive odd numbers has four identical digits. Let $S$ be their sum. Find the digit sum of $S$.
  1. $12$
  2. $14$
  3. $15$
  4. $16$
  5. $20$