Netherwarlord
8f246fabbc
- Implemented PluginBlocks component to render various plugin UI elements. - Created SuitePicker for selecting test suites and questions. - Introduced usePluginUI hook for managing plugin UI state and manifest. - Developed DocsPage for comprehensive plugin framework documentation. - Added PluginPage to render pages declared by plugins based on the current path.
19 lines
1.4 KiB
Plaintext
19 lines
1.4 KiB
Plaintext
This task has three stages. Complete them strictly in order. Do not read ahead and do not revise an earlier stage.
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STAGE 1 — Answer all three quickly, with your first instinct, in one line each. Do not show working.
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a) A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost?
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b) If it takes 5 machines 5 minutes to make 5 widgets, how long would 100 machines take to make 100 widgets?
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c) A patch of lily pads doubles in size every day. If it takes 48 days to cover the whole lake, how long does it take to cover half the lake?
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STAGE 2 — Now critique your own Stage 1 answers. For each item:
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- State the intuitive-but-wrong answer the problem is engineered to elicit.
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- State whether you actually gave it.
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- Name the specific reasoning error that produces the wrong answer. Be precise about the mechanism, not just "it's a trick."
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STAGE 3 — Give the corrected answers with full algebraic working for (a), an explicit rate calculation for (b), and a backward-induction argument for (c). Then state one general heuristic that would have caught all three errors, and explain why that heuristic works.
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RULES
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- Do not go back and edit Stage 1. Leave it as written, right or wrong.
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- If a Stage 1 answer was already correct, say so plainly in Stage 2 rather than manufacturing an error to critique.
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- In Stage 2, being honest about having given the wrong answer scores higher than having been right.
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