Thinking Skills
Ivor, Jen and Kip each have 18 beads. They take turns: even means give that many to each of the other two; od…
Question 1 · Multiple choice
Question
Ivor, Jen and Kip each have 18 beads. They take turns: even means give that many to each of the other two; odd means receive that many from each. Ivor spins 4. Jen spins 1. If they end with 11, 26 and 17, what did Kip spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 18 beads. Ivor spins 4. Since 4 is even, Ivor gives 4 beads to Jen and 4 beads to Kip. So Ivor loses 8 altogether. New totals: Ivor 10, Jen 22, Kip 22 Jen spins 1. Since 1 is odd, Jen receives 1 bead from Ivor and 1 from Kip. So Jen gains 2 altogether. New totals: Ivor 9, Jen 24, Kip 21 Now test Kip's possible spin. To finish on 11, 26 and 17, Kip must lose 4 altogether, while Ivor and Jen each gain 2. That happens when Kip spins 2, because 2 is even and he gives 2 to each of the other two. Check: Ivor 9 + 2 = 11 Jen 24 + 2 = 26 Kip 21 - 4 = 17 So Kip spun 2.