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Bebras 2019 - Level 1 Question 13

BEBRAS · Bebras 2019 - Level 1

Question 13

A room has three light bulbs, X, Y and Z, and four switches:
- Switch 1 turns Y on and X off.
- Switch 2 turns X and Y on and Z off.
- Switch 3 turns Z on and Y off.
- Switch 4 turns X on.
All the bulbs are initially off. A beaver wants all three bulbs to be on. Which sequence of switches below achieves this fastest?
If a bulb is already on (or off), pressing a switch to turn it on (or off) does not change its state.
  1. 2 – 3 – 1 – 4
  2. 3 – 1 – 4
  3. 4 – 1 – 3
  4. 2 – 3