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: Let's solve this step by step: 1. First, we see that there are 10 steps in total. 2. The kangaroo starts at step 1, and the rabbit starts at step 10. 3. In one "move": - The kangaroo goes up 3 steps - The rabbit goes down 2 steps 4. Let's track their positions after each move: Start: Kangaroo at 1, Rabbit at 10 Move 1: Kangaroo at 4 (1+3), Rabbit at 8 (10-2) Move 2: Kangaroo at 7 (4+3), Rabbit at 6 (8-2) 5. After the second move, we see that the kangaroo is at step 7 and the rabbit is at step 6. 6. In the next move, the kangaroo will go up 3 steps to step 10, while the rabbit will go down 2 steps to step 4. 7. This means they must meet somewhere between steps 6 and 7. 8. The only step between 6 and 7 is step 6. Therefore, the kangaroo and rabbit meet on step 6. D4: 6
Final Prediction: Puzzle #1: 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