Thinking Skills
Gil, Hal and Ira each have 28 beads. They take turns: even means give that many to each of the other two; odd…
Question 1 · Multiple choice
Question
Gil, Hal and Ira each have 28 beads. They take turns: even means give that many to each of the other two; odd means receive that many from each. Gil spins 2. Hal spins 3. If they end with 23, 38 and 23, what did Ira spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
B. 2
Explanation
Everyone starts with 28 beads. Gil spins 2. Since 2 is even, Gil gives 2 beads to Hal and 2 beads to Ira. So Gil loses 4 altogether. New totals: Gil 24, Hal 30, Ira 30 Hal spins 3. Since 3 is odd, Hal receives 3 beads from Gil and 3 from Ira. So Hal gains 6 altogether. New totals: Gil 21, Hal 36, Ira 27 Now test Ira's possible spin. To finish on 23, 38 and 23, Ira must lose 4 altogether, while Gil and Hal each gain 2. That happens when Ira spins 2, because 2 is even and she gives 2 to each of the other two. Check: Gil 21 + 2 = 23 Hal 36 + 2 = 38 Ira 27 - 4 = 23 So Ira spun 2.