1. Non Sequitur
Definition: An argument in which its conclusion does not follow from its premises.
In a non sequitur, the conclusion could be either true or false, but the argument is fallacious because there is a disconnection between the premise and the conclusion

2. Examples
In everyday speech, a non sequitur is a statement in which the final part is totally unrelated to the first part, for example:
Life is life and fun is fun, but it's all so quiet when the goldfish die. West with the Night, Beryl Markham
It can also refer to a response totally unrelated to an original statement or question:
Mary: I wonder how Mrs. Knowles next door is doing. Jim: Did you hear that the convenience store two blocks over got robbed last night? Thieves got away with a small fortune.