💡 Detailed Explanation
"揶揄" (yayu) means to ridicule, tease, or make fun of someone, often with a slightly mocking or scornful nuance. Choice 1 correctly uses it in the context of being ridiculed for a failure, leading to negative feelings.
* Choice 2 is inconsistent: "ridiculing" a subordinate is contradictory to "encouraging growth."
* Choice 3, while one can ridicule inconsistencies in a theory, '揶揄' might imply a lighter, more personal mockery than is typical for academic criticism, or a more precise verb might be preferred in such a context. Its usage here is less natural than the correct answer's.
* Choice 4 uses '揶揄' in a context of affectionate interaction ("cute mistake," "gently stroked her head"), where '揶揄' (with its slightly negative or scornful nuance) is inappropriate. A softer word like 'からかう' (to tease) would be more suitable.