Under what profile do Webservice methods execute by default?

D.

Webservice methods in Salesforce execute under the context of the running user. This means that the profile of the running user determines the level of access to data and functionality within the webservice method.

In other words, the answer to the question is not one of the options given. A webservice method does not execute under a specific default profile. Rather, it executes under the profile of the user who is invoking the method.

Therefore, the correct answer to this question is "A. No" because the given options do not provide a correct answer.