These examples have more to do with non-verbal communication and the ability read a persons unconscious signals than intuition, if we're using intuition in the sense of "the ability to acquire knowledge without inference or the use of reason." Some would argue, and usually New Age types and those less than able to apply reasonable skepticism to such things, that such abilities are "psychic" or somehow magical but they're not.

In the first example, an employer will have an idea in mind of what they want from a potential employee. They may justify their reasons for choosing that person from a group of other candidates as having been "intuitive" but that's down to an inability to accurately recall the mental processes they went through to arrive at that decision. It's far more likely that the successful candidate demonstrated specific traits and skills, or knew how to send the right signals (if they're skilled (or manipulative) enough) to give the impression that they had them, which the employer considered desirable.

In the second one, I would imagine that a landlord with experience of tenants would have also have a rough idea of what sort of person he/she wanted living in their property. Perhaps the person who showed up to view the property conducted themselves in a way which gave them the impression that they might be troublesome, maybe something about their body language and non-verbal communication suggested, subconsciously and based on their previous experience in similar situations, that the person had ulterior motives.

The third example is an easy one, it's a piece of piss to tell when someone is lying if you know how to do so consciously. Some people might pick up on things without being aware of them and call it "intuitive" but it's quite simple to learn this and use it with a high success rate. Voice tone, eye movement, micro expression, changes in pallor, rate of respiration and all manner of subtle, almost unnoticeable unless you're trained to see them, signals can be used to tell this.

I can cold read people, hypnotized people, force images into peoples heads, messed with their sense of time, and loads of tricks like this using simple non-verbal signalling and taking advantage of the subtle processed most people aren't aware of. Some people think I'm psychic, some people are convinced that I'm a magician who can cause things to happen or read minds but (almost) all of it is done through simple techniques common to stage magic, con artistry and fake psychics. Nothing special.