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Bebras 2022 - Level 3 Question 15

BEBRAS · Bebras 2022 - Level 3

Question 15

Betty and Bobby exchange numbers using a special secret method. They encode digits according to the following table. Here ○ is a white circle and ● is a gray circle.

| Digit | Code | Digit | Code | Digit | Code | Digit | Code | Digit | Code |
|---:|---|---:|---|---:|---|---:|---|---:|---|
| 0 | ●○●○ | 1 | ●○● | 2 | ○●○○ | 3 | ○●●● | 4 | ○●● |
| 5 | ○○●○ | 6 | ○○○ | 7 | ○○○● | 8 | ●○○● | 9 | ○●○● |

Question illustration

To write 232 they can send this picture:

Question illustration

Which number could the following picture represent?

Question illustration
  1. 32209
  2. 32208
  3. 417011
  4. 417511