Thinking Skills
Dee, Eve and Fay each have 22 tokens. They take turns: even means give that many to each of the other two; od…
Question 1 · Multiple choice
Question
Dee, Eve and Fay each have 22 tokens. They take turns: even means give that many to each of the other two; odd means receive that many from each. Dee spins 4. Eve spins 1. If they end with 15, 30 and 21, what did Fay spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 22 tokens. Dee spins 4. Since 4 is even, Dee gives 4 tokens to Eve and 4 tokens to Fay. So Dee loses 8 altogether. New totals: Dee 14, Eve 26, Fay 26 Eve spins 1. Since 1 is odd, Eve receives 1 token from Dee and 1 from Fay. So Eve gains 2 altogether. New totals: Dee 13, Eve 28, Fay 25 Now test Fay's possible spin. To finish on 15, 30 and 21, Fay must lose 4 altogether, while Dee and Eve each gain 2. That happens when Fay spins 2, because 2 is even and she gives 2 to each of the other two. Check: Dee 13 + 2 = 15 Eve 28 + 2 = 30 Fay 25 - 4 = 21 So Fay spun 2.