The four letters of INTP don't show up evenly. This is what each area of life tends to pull out of an INTP, letter by letter, and it is exactly what the four-scenario test scores separately.
INTP at work
You do your best work with the door closed and a problem in front of you; open-plan offices and back-to-back meetings spend your energy before the real work starts. You reach for the pattern behind the task: what this project is really for, what it could become, and which shortcut nobody has tried yet. You give and take feedback on the merits, so you can sound colder than you mean to when a plan is bad and the room is polite. You keep options open until the last responsible moment and do your best work in the final stretch; a rigid plan feels like a promise to be wrong on schedule.
INTP in relationships
You need time alone even from the people you love most, and you show closeness by letting someone into that quiet rather than by being available all the time. You fall for possibility, the person someone could become and the life you could build, and you get restless when a relationship stops evolving. You solve a partner's problem when they wanted to be heard, and you have to remind yourself that being right is not the same as being close. You keep a relationship easy and low-pressure, which partners love early and sometimes mistake for not caring later.
INTP at home
An empty weekend is the reward; you recharge by being alone with something you chose, and a full social calendar needs a recovery day after it. Your mind wanders on the walk home; you start three side projects for every one you finish, and you are fine with that. You organize your space for function, not looks, and you handle a household problem the way you would handle a work one: diagnose, fix, move on. Plans are suggestions; you decide Saturday on Saturday, and a cancelled dinner is mostly a free evening.
INTP as a student
You learn alone, in quiet, and deeper than the syllabus asked; you would rather work a problem through twice than ask in front of a room. You want the big picture first and lose patience with drills; once you see why the method works, the details fall into place on their own. You take a hard concept apart until every piece makes sense, and a low grade is data about the gaps, not a verdict on you. You run on interest and deadlines: long stretches of nothing, then a burst that gets it done, usually at the last minute and usually fine.