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BEBRAS 2021 Grade 5-6 Round 2 Ext Question 7

BEBRAS · BEBRAS 2021 Grade 5-6 Round 2 Ext

Question 7

A combination lock opens only when its number rings show the correct code. Each ring can turn in either direction. The lock currently shows 2719.

Question illustration

Turning the last ring up one position changes 9 to 0; turning it down one changes 9 to 8. What is the minimum total number of one-position turns needed to reach the correct code 4383?
  1. 21
  2. 19
  3. 17
  4. 13