QuestionThe kangaroo goes up 3 steps each time the rabbit goes down 2 steps. On which step do they meet? |
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| A: 3 | B: 4 | C: 5 | D: 6 | E: 7 |
LLM Response: 1. **Understand the pattern:** The kangaroo moves up 3 steps while the rabbit moves down 2 steps. This means their relative speed is 3 + 2 = 5 steps per unit of time. 2. **Find the least common multiple:** We need to find the least common multiple (LCM) of 3 (kangaroo's steps) and 2 (rabbit's steps), which is 6. This means that every 6 steps, they will align in their movement pattern. 3. **Determine the meeting point:** - The kangaroo will have gone up 6 steps (2 sets of 3 steps). - The rabbit will have gone down 6 steps (3 sets of 2 steps). 4. **They meet on step 6.** **Therefore, the answer is D4.**
Final Prediction: Puzzle #0: Solve this question with explanation of the intermediate steps. Your response must end with one of the selected answer options from A1, B2, C3, D4, or E5. The kangaroo goes up 3 steps each time the rabbit goes down 2 steps. On which step do they meet? Options: A1: 3, B2: 4, C3: 5, D4: 6, E5: 7. Predicted Answer = D Correct Answer = D