Pretension (noun)

1. The act or an instance of claiming or asserting something, especially unwarrantedly.
2. The act or an instance of pretending to be something or to have a certain quality.
3. A claim or an assertion that is made without sufficient evidence.

Origin:

The word pretension comes from the latin word praetensio, meaning "stretching forward" and it has been in use since the 16th century.

Examples:

1. His pretensions of being a great musician were quickly exposed.
2. She had no pretensions to be a cook, but she could make a mean spaghetti sauce.
3. His pretensions to be a chef were quickly debunked by the critics.
4. The company's pretensions of being a leader in the industry were not supported by the numbers.
5. She had no pretensions to be a fashion model, but she was a natural in front of the camera.