Thinking Skills
Tia, Uma and Vic each have 22 chips. They take turns: showing an even number means give that many to each of …
Question 1 · Multiple choice
Question
Tia, Uma and Vic each have 22 chips. They take turns: showing an even number means give that many to each of the other two; odd means receive that many from each. Tia spins 4. Uma spins 1. If they end with 12, 27 and 27 respectively (Tia, Uma, Vic), what did Vic spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
A. 1
Explanation
Everyone starts with 22 chips. Tia spins 4. Since 4 is even, Tia gives 4 chips to Uma and 4 chips to Vic. So Tia loses 8 altogether. New totals: Tia 14, Uma 26, Vic 26 Uma spins 1. Since 1 is odd, Uma receives 1 chip from Tia and 1 from Vic. So Uma gains 2 altogether. New totals: Tia 13, Uma 28, Vic 25 Now test Vic's possible spin. To finish on 12, 27 and 27, Vic must gain 2 chips, while Tia and Uma each lose 1. That happens when Vic spins 1, because 1 is odd and Vic receives 1 from each of the other two. Check: Tia 13 - 1 = 12 Uma 28 - 1 = 27 Vic 25 + 2 = 27 So Vic spun 1.