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IKMC 2027 - Grades 5-6 - Self-study SET 1 - Thematic Batch 3 Question 30

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 1 - Thematic Batch 3

Question 30

Adam has n straight wooden sticks of lengths 1 cm, 2 cm, 3 cm, 4 cm, 5 cm, …, n cm. When n=7, Adam can arrange the sticks into a square as shown. For which of the following values can the sticks be arranged into a square in this way?

Editorial clarification: The solution interprets “the sticks” as using every stick exactly once, without cutting any stick.

Question illustration
  1. n = 11
  2. n = 12
  3. n = 13
  4. n = 14
  5. n = 15