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BEBRAS 2025 Grade 3-4 Round 2 Ext Question 15

BEBRAS · BEBRAS 2025 Grade 3-4 Round 2 Ext

Question 15

Bob removes numbered beads from a tube one at a time. He may thread a bead or discard it permanently. He can thread a bead only if the string is empty or its number is greater than the last bead threaded. The example shows two choices after 1 and 2: thread 5, or discard 5 and continue.

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For the following tube, what is the greatest number of beads Bob can thread? Beads leave from the right-hand opening.

Question illustration
  1. 5
  2. 6
  3. 7
  4. 8