Thinking Skills
Uma, Vic and Will each have 20 tokens. They take turns: even means give that many to each of the other two; o…
Question 1 · Multiple choice
Question
Uma, Vic and Will each have 20 tokens. They take turns: even means give that many to each of the other two; odd means receive that many from each. Uma spins 4. Vic spins 1. If they end with 13, 28 and 19, what did Will spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 20 tokens. Uma spins 4. Since 4 is even, Uma gives 4 tokens to Vic and 4 tokens to Will. So Uma loses 8 altogether. New totals: Uma 12, Vic 24, Will 24 Vic spins 1. Since 1 is odd, Vic receives 1 token from Uma and 1 from Will. So Vic gains 2 altogether. New totals: Uma 11, Vic 26, Will 23 Now test Will's possible spin. To finish on 13, 28 and 19, Will must lose 4 altogether, while Uma and Vic each gain 2. That happens when Will spins 2, because 2 is even and he gives 2 to each of the other two. Check: Uma 11 + 2 = 13 Vic 26 + 2 = 28 Will 23 - 4 = 19 So Will spun 2.