Thinking Skills
Ari, Bo and Cal each have 24 beads. They take turns: even means give that many to each of the other two; odd …
Question 1 · Multiple choice
Question
Ari, Bo and Cal each have 24 beads. They take turns: even means give that many to each of the other two; odd means receive that many from each. Ari spins 2. Bo spins 3. If they end with 19, 34 and 19, what did Cal spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 24 beads. Ari spins 2. Since 2 is even, Ari gives 2 beads to Bo and 2 beads to Cal. So Ari loses 4 altogether. New totals: Ari 20, Bo 26, Cal 26 Bo spins 3. Since 3 is odd, Bo receives 3 beads from Ari and 3 from Cal. So Bo gains 6 altogether. New totals: Ari 17, Bo 32, Cal 23 Now test Cal's possible spin. To finish on 19, 34 and 19, Cal must lose 4 altogether, while Ari and Bo each gain 2. That happens when Cal spins 2, because 2 is even and he gives 2 to each of the other two. Check: Ari 17 + 2 = 19 Bo 32 + 2 = 34 Cal 23 - 4 = 19 So Cal spun 2.