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BEBRAS 2023 Grade 5-6 Round 2 Ext Question 7

BEBRAS · BEBRAS 2023 Grade 5-6 Round 2 Ext

Question 7

Beaver has a machine with trays A, B and C.

Question illustration

It operates as follows:
- Trays A and B contain some balls.
- If B is empty, the machine moves all balls from A to C.
- If B is not empty, the machine creates and adds to A as many new balls as are currently in B, then destroys one ball in B and repeats the process.
Initially A contains 2 balls and B contains 5. How many balls will C contain at the end?
  1. 17
  2. 23
  3. 12
  4. 28