# Chain of thought reasoning examples

All examples are taken from the paper ["Chain of Thought Prompting Elicits Reasoning in Large Language Models"](https://arxiv.org/abs/2201.11903).

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**Question**: Roger has 5 tennis balls. He buys 2 more cans of tennis balls. Each can has 3 tennis balls. How many tennis balls does he have now?
**Reasoning**: Roger started with 5 balls. 2 cans of 3 tennis balls each is 6 tennis balls. 5 + 6 = 11.
**Answer**: 11

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**Question**: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788
**Reasoning**: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392.
**Answer**: (b)

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**Question**: Yes or no: Would a pear sink in water?
**Reasoning**: The density of a pear is about 0.6 g/cm^3, which is less than water. Thus, a pear would float.
**Answer**: No

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**Question**: Is the following sentence plausible? "Joao Moutinho caught the screen pass in the NFC championship."
**Reasoning**: Joao Moutinho is a soccer player. The NFC championship is part of American football, not soccer.
**Answer**: No