Thinking Skills
Wren, Xan and Yael each have 26 tokens. They take turns: even means give that many to each of the other two; …
Question 1 · Multiple choice
Question
Wren, Xan and Yael each have 26 tokens. They take turns: even means give that many to each of the other two; odd means receive that many from each. Wren spins 4. Xan spins 1. If they end with 19, 34 and 25, what did Yael spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 26 tokens. Wren spins 4. Since 4 is even, Wren gives 4 tokens to Xan and 4 tokens to Yael. So Wren loses 8 altogether. New totals: Wren 18, Xan 30, Yael 30 Xan spins 1. Since 1 is odd, Xan receives 1 token from Wren and 1 from Yael. So Xan gains 2 altogether. New totals: Wren 17, Xan 32, Yael 29 Now test Yael's possible spin. To finish on 19, 34 and 25, Yael must lose 4 altogether, while Wren and Xan each gain 2. That happens when Yael spins 2, because 2 is even and she gives 2 to each of the other two. Check: Wren 17 + 2 = 19 Xan 32 + 2 = 34 Yael 29 - 4 = 25 So Yael spun 2.